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Southern California (949) 462-0100 Sales (949) 462-0400 Fax (949) 462-0400 User Support Chapter 19 Dynamic Models Motor dynamic models are required for dynamic motor starting, transient stability, and generator starting studies. Generator dynamic models and some control units (exciters and governors) are only needed for transient stability studies. In addition, load torque characteristics for different types of models are required for both motor starting and transient stability studies. PowerStation provides a variety of induction and synchronous machine models, plus extensive libraries for exciters and governors for you to select from to perform your studies. For dynamic motor acceleration studies, only the motors that are accelerated need to have a dynamic model, i.e., generators, exciters, and governors are not dynamically modeled. For transient stability studies, all generators, exciters, and governors are dynamically modeled. Motors, which have dynamic models and are designated to be dynamically modeled from the study case, will be dynamically modeled. For generator starting and frequency dependent transient stability studies, all generators, exciters, governors, and motors have to use frequency dependent models. This chapter describes different types of machine models, machine control unit models, load models, and explains their applications in motor starting and transient stability studies. It also describes tools that assist you to select those models and specify model parameters. The induction machine models section describes five different types of induction machine models and the frequency dependent forms of these models. Those are Circuit Models (Single1, Single2, DBL1, DBL2) and Characteristic Curve Models. In the synchronous machine models section, descriptions of five different types of synchronous machine models and the frequency dependent forms of these models are given. Those are Equivalent Model, Transient Model for round-rotor machines, Sub-transient Model for round-rotor machines, Transient Model for salient-pole machines, and Sub-transient Model for salientpole machines. Motor starting and transient stability studies also require the utility tie system to be modeled as an equivalent machine. A description of the modeling of power grid systems is found in the section Power Grid. Different types of exciter and automatic voltage regulator (AVR) models, including standard IEEE models and vendor special models, are defined in the Exciter and AVR Models section. Governor-turbine models that are also based on both IEEE standards and vendors’ product manuals are listed in the Governor-turbine Models section. Finally, different types of load models are described in the Mechanical Load section. Operation Technology, Inc. 19-1 ETAP PowerStation 4.0 Dynamic Models Induction Machine 19.1 Induction Machine PowerStation provides five different types of induction machine models, which cover all commonly used induction machine designs. These models are: • • • • • • Single1 CKT Model Single2 CKT Model DBL1 CKT Model DBL2 CKT Model Characteristic Curve Model Frequency Dependent Model In general, Single1, Single2, DBL1, and DBL2 are referred to as CKT (circuit) models, because they all use equivalent circuits to represent an induction machine stator and rotor windings. These models can be used for both dynamic motor starting and transient stability studies. Characteristic models use machine performance curves specified at some discrete points to represent an induction machine. It can be used for dynamic motor starting studies, but is not suitable for transient stability studies. Note that the models described in this section are also employed by synchronous motors for motor starting studies since, during starting, synchronous motors behave similarly to induction motors. This modeling procedure is approved by the industrial standards. Notations and Symbols The following notations are used in defining various parameters for induction machine models: Rs = Xs = Xm = Rr = Xr = Xlr = Xoc = Tdo’ = X/R = Stator resistance Stator reactance Magnetizing reactance Rotor resistance Rotor reactance Locked-rotor reactance ( = Xs + XmXr / (Xm + Xr) ) Open-circuit reactance ( = Xs + Xm ) Rotor open-circuit time constant ( = (Xm + Xr) / (2πfRr) ) Machine X/R ratio Plus the notations used in the machine electrical and mechanical equations: E It ωs ωm s f H D Pm Pe = = = = = = = = = = Machine internal voltage Machine terminal current Machine synchronous speed Machine mechanical speed Machine slip ( = (ωs - ωm) / ωs ) Synchronous frequency Machine shaft inertia Damping factor (this value is negligible) Mechanical output power Electrical input power Operation Technology, Inc. 19-2 ETAP PowerStation 4.0 Dynamic Models Induction Machine 19.1.1 Single1 Model This is the least complex model for a single-cage induction machine, with no deep-bars. It is essentially using a Thevenin equivalent circuit to represent the machine. The rotor circuit resistance and reactance are assumed constants; but the internal voltage will change depending on the machine speed. Parameters for this model are: • • • • • E Xlr Xoc Tdo’ X/R Machine internal voltage Locked-rotor reactance ( = Xs + XmXr / (Xm + Xr) ) Open-circuit reactance ( = Xs + Xm ) Rotor open-circuit time constant ( = (Xm + Xr) / (2πfRr) ) Machine X/R ratio Note that the X/R value is obtained from the library and is not the same X/R used for short-circuit calculations. Operation Technology, Inc. 19-3 ETAP PowerStation 4.0 Dynamic Models Induction Machine 19.1.2 Single2 Model This is the standard model for induction machines, representing the magnetizing branch, stator, and rotor circuits, and accounts for the deep-bar effect. The rotor resistance and reactance linearly change with the machine speed. Parameters for this model are: • • • • • • • Rs Xs Xm Rrfl Rrlr Xrfl Xrlr Stator resistance Stator reactance Magnetizing reactance Rotor resistance at full load Rotor resistance at locked-rotor Rotor reactance at full load Rotor reactance at locked-rotor Operation Technology, Inc. 19-4 ETAP PowerStation 4.0 Dynamic Models Induction Machine 19.1.3 DBL1 Model This CKT model represents double cage induction machines with integrated bars. The rotor resistance and reactance of each cage are constant for all machine speeds; however, the equivalent impedance of the two rotor circuits becomes a non-linear function of the machine speed. Parameters for this model are: • • • • • • • Rs Xs Xm Rr1 Rr2 Xr1 Xr2 Stator resistance Stator reactance Magnetizing reactance Rotor resistance for the first rotor circuit Rotor resistance for the second rotor circuit Rotor reactance for the first rotor circuit Rotor reactance for the second rotor circuit Operation Technology, Inc. 19-5 ETAP PowerStation 4.0 Dynamic Models Induction Machine 19.1.4 DBL2 Model This is another representation of double cage induction machines with independent rotor bars. The same as the DBL1 model, the rotor resistance and reactance of each cage are constant for all machine speeds, and the equivalent impedance of the two rotor circuits is a non-linear function of the machine speed. The DBL2 model has a different characteristic than the DBL1 model. Parameters for this model are: • • • • • • • Rs Xs Xm Rr1 Rr2 Xr1 Xr2 Stator resistance Stator reactance Magnetizing reactance Rotor resistance for the first rotor circuit Rotor resistance for the second rotor circuit Rotor reactance for the first rotor circuit Rotor reactance for the second rotor circuit Operation Technology, Inc. 19-6 ETAP PowerStation 4.0 Dynamic Models Induction Machine 19.1.5 Characteristic Curve Model This model provides the capability to model induction machines directly based on machine performance curves provided by the manufacturer. Although only a discrete set of points is required to specify each curve, PowerStation uses advanced curve fitting techniques to generate continuous curves for calculation purposes. Curves specified in this model include: • • • Torque vs. Slip Current (I) vs. Slip Power Factor (PF) vs. Slip Note that this model is only used for motor starting studies. For transient stability studies you can use the Machine Parameter Estimation program to convert this model into one of the CKT models. Operation Technology, Inc. 19-7 ETAP PowerStation 4.0 Dynamic Models Induction Machine 19.1.6 Frequency Dependent Model In generator starting and frequency dependent transient stability studies, the frequency dependent models of induction machines are used. PowerStation provides the frequency dependent forms for the four types of circuit models (Single1, Single2, DBL1, DBL2). In these models, the stator and rotor reactance and slip of machine are functions of system frequency. The following is the equivalent circuit for a double cage induction machine model with independent rotor bars (DBL2). Rs ω s Ls is Vs ωsLr1 ωsLr2 Rr1/s Rr2/s ω s Lm Parameters for this model are: • • • • • • • • • Rs Ls Lm Rr1 Rr2 Lr1 Lr2 ωs s Stator resistance Stator inductance Magnetizing inductance Rotor resistance for the first rotor circuit Rotor resistance for the second rotor circuit Rotor inductance for the first rotor circuit Rotor inductance for the second rotor circuit System speed Motor slip The data interface and library for the frequency dependent forms of the four types of induction machine models (Single1, Single2, DBL1, DBL2) are the same as the corresponding regular induction machine models. PowerStation internally converts the reactance in machine interface to inductance. The model also can be expressed as the following equivalent circuit in terms of transient inductance and transient internal electromagnetic-force. Rs ωsL’ is ωsE’ Vs Parameters in the circuit are: • • L’s E’ Transient inductance Transient internal electromagnetic-force Operation Technology, Inc. 19-8 ETAP PowerStation 4.0 Dynamic Models Synchronous Machine 19.2 Synchronous Machine PowerStation provides five different types of synchronous machine models to choose for transient stability studies and frequency dependent models for generator starting and frequency dependent transient stability studies. The complexity of these models ranges from the simple Equivalent Model to the model that includes the machine saliency, damper winding, and variable field voltage. These models are: • • • • • • Equivalent Model Transient Model for Round-Rotor Machine Transient Model for Salient-Pole Machine Subtransient Model for Round-Rotor Machine Subtransient Model for Salient-Pole Machine Frequency Dependent Model Synchronous generators and synchronous motors share the same models. In the following discussion, the generator case is taken as an example. Notations and Symbols The following notations are used in defining various parameters for synchronous machine models: Xd” Xd’ Xd Xq” Xq Xq’ Xl Ra X/R Tdo” Tdo’ Tqo” Tqo’ S100 S120 H D = = = = = = = = = = = = = = = = = Direct-axis subtransient synchronous reactance Direct-axis transient synchronous reactance Direct-axis synchronous reactance Quadrature-axis subtransient synchronous reactance Quadrature-axis synchronous reactance Quadrature-axis transient synchronous reactance Armature leakage reactance Armature resistance Machine X/R ration (= Xd”/Ra) Direct-axis subtransient open-circuit time constant Direct-axis transient open-circuit time constant Quadrature -axis subtransient open-circuit time constant Quadrature -axis transient open-circuit time constant Saturation factor corresponding to 100 percent terminal voltage Saturation factor corresponding to 120 percent terminal voltage Total inertia of the shaft Shaft damping factor Operation Technology, Inc. 19-9 ETAP PowerStation 4.0 Dynamic Models Synchronous Machine General Concept of Modeling Synchronous Machines A synchronous machine is, in general, modeled by an equivalent internal voltage source and its equivalent resistance and reactance. The equivalent internal voltage source is connected to the machine internal bus behind the equivalent resistance and reactance, as shown in the diagram. Depending on the structure (round-rotor or salient-pole) and design (with or without damper windings), the equivalent internal voltage and equivalent impedance are calculated differently. These differences are reflected in differential equations describing different types of synchronous machine models. Park’s transformation is adopted and the following notations and symbols are employed in the differential equations for synchronous machine models: Efd = f(•) Eq” = = Ed” = Eq’ = Ed’ = Eq = Ed Ei It Id Iq = = = = = Term representing the field voltage acting along the quadrature-axis. It is calculated from the machine excitation system Function to account machine saturation effect Quadrature-axis component of the voltage behind the equivalent machine subtransient reactance Direct-axis component of the voltage behind the equivalent machine subtransient reactance Quadrature-axis component of the voltage behind the equivalent machine transient reactance Direct-axis component of the voltage behind the equivalent machine transient reactance Quadrature-axis component of the voltage behind the equivalent machine reactance Direct-axis component of the voltage behind the equivalent machine reactance Voltage proportional to field current Machine terminal current Direct-axis component of machine terminal current Quadrature-axis component of machine terminal current Operation Technology, Inc. 19-10 ETAP PowerStation 4.0 Dynamic Models Synchronous Machine Saturation The synchronous machine saturation effect needs to be considered in the modeling. This effect is represented by two parameters S100 and S120 as defined in the following figure and equations: S100 = S120 = I f 100 If I f 120 1.2 I f where If = Field current corresponding to 100% terminal voltage on the air gap line (no saturation) If100 = Field current corresponding to 100% terminal voltage on the open-circuit saturation curve = Field current corresponding to 120% terminal voltage on the open-circuit saturation curve If120 For generator starting studies, another factor, Sbreak, is required to correct machine inductance as shown in the above generator saturation curve. The factor Sbreak is defined as %Vt at the saturation break point. Operation Technology, Inc. 19-11 ETAP PowerStation 4.0 Dynamic Models Synchronous Machine 19.2.1 Equivalent Model The screen below shows the equivalent model, its parameters, and the typical data. This model uses an internal voltage source behind the armature resistance and quadrature-axis reactance to model a synchronous machine. The voltage source is proportional to the machine field flux linkages. The model includes the effect of variable field voltage and the effect of saliency in the case of SalientPole machines. For this model, Req and Xeq are defined as: Req = Ra Xeq = Xq Differential equations to describe this model are: Operation Technology, Inc. 19-12 ETAP PowerStation 4.0 Dynamic Models Synchronous Machine 19.2.2 Transient Model for Round-Rotor Machine The screen below shows the transient model for a round-rotor machine, its parameters, and the typical data. This model uses an internal voltage source behind a fictitious impedance Rh + jXh. Rh and reactance Xh are used to replace Req and Xeq to achieve a faster calculation convergence, i.e.: Req = Rh Xeq = Xh where 2 R h + jX h = ' ' Ra + X d X q ' ' Ra - j(X d X q ) / 2 This model is more comprehensive than the equivalent model because it includes more parameters to account for the machine’s saliency. The following differential equations are involved to describe this model: Operation Technology, Inc. 19-13 ETAP PowerStation 4.0 Dynamic Models Synchronous Machine 19.2.3 Subtransient Model for Round-Rotor Machine The screen below shows the subtransient model for a round-rotor machine, its parameters, and the typical data. This model also consists of an equivalent internal voltage source and a fictitious impedance Rh + jXh. This model is a more comprehensive representation of general type synchronous machines. In addition to the machine’s transient parameters, the subtransient parameters are included to model the machine’s subtransient characteristics. This model is particularly useful for machines with damper windings. The model’s differential equations are shown below: Operation Technology, Inc. 19-14 ETAP PowerStation 4.0 Dynamic Models Synchronous Machine 19.2.4 Transient Model for Salient-Pole Machine The screen below shows the transient model for a salient-pole machine, its parameters, and the typical data. This model essentially has the same complexity as a transient model for round-rotor machines, but considers special features of salient-pole machines which are: X’q = X q and the time constant T’ qo is meaningless and omitted For this model, the fictitious resistance Rh and reactance Xh are set to: Rh = R a Xh = X a The following differential equations are involved to describe this model: Operation Technology, Inc. 19-15 ETAP PowerStation 4.0 Dynamic Models Synchronous Machine 19.2.5 Subtransient Model for Salient-Pole Machine The screen below shows the Subtransient Model for a salient-pole machine, its parameters and the typical data. This model includes the damper winding effect for a salient-pole machine. The same conditions are held true as with the transient model for salient-pole machines: X’q = Xq and the time constant T’qo is meaningless. The following differential equations are involved to describe this model: Operation Technology, Inc. 19-16 ETAP PowerStation 4.0 Dynamic Models Synchronous Machine 19.2.6 Frequency Dependent Model A subtransient synchronous machine model with frequency dependency in PowerStation is developed based on a standard IEEE 2.1 synchronous generator model. An equivalent circuit diagram of the model is shown here: Ra ωsψq - Lf1d - Lad Ll + id L1d Lffd Lad Vd Rfd + R1d Vfd - Direct-axis Equivalent Circuit Ra + ωsψd - Ll iq L1q Laq Vq R1q Quadrature-axis Equivalent Circuit Parameters in the circuits are: • • • • • • • Rs Ll Lad Laq Lf1d L1d R1d Stator resistance Stator leakage inductance Direct-axis stator to rotor mutual inductance Qaudrature-axis stator to rotor mutual inductance Field to direct-axis rotor mutual inductance Direct-axis rotor equivalent leakage inductance Direct-axis rotor equivalent resistance Operation Technology, Inc. 19-17 ETAP PowerStation 4.0 Dynamic Models • • • • • • • • Lffd Rfd L1q R1q Vfd ψd ψq ωs Synchronous Machine Field leakage inductance Field resistance Qaudrature-axis rotor equivalent leakage inductance Qaudrature-axis rotor equivalent resistance Field voltage Direct-axis flux linkages Quadrature-axis flux linkages System speed The data interface for the frequency dependent subtransient synchronous machine model is the same as the regular subtransient model with a salient-pole. PowerStation internally calculates the required parameters for the frequency dependent model from the data in generator interface. Operation Technology, Inc. 19-18 ETAP PowerStation 4.0 Dynamic Models Power Grid 19.3 Power Grid For motor starting and transient stability studies, it is required to model a power grid (utility system) with an equivalent machine. Due to the fact that a power grid is generally considered as an interfacing point to the power grid whose voltage and frequency are supported by a larger system and unlikely to change, it is valid to assume this equivalent machine has a constant internal voltage source and an infinite inertia. Thus the power grid is modeled in PowerStation with the following Thevenin equivalent: where Ei is calculated from the initial terminal bus voltage and Req and Xeq are from positive sequence R and X of the Power Grid Editor, as shown below: Operation Technology, Inc. 19-19 ETAP PowerStation 4.0 Dynamic Models Excitation System 19.4 Excitation System To accurately account for dynamics from exciter and AVR systems in power system transient responses, complete modeling of these systems is usually necessary. PowerStation provides the following exciter and AVR models: • • • • • • • • • • • • • • • • • • • • • • IEEE Type 1 IEEE Type 2 IEEE Type 3 IEEE Type 1S IEEE Type DC1 IEEE Type DC2 IEEE Type DC3 IEEE Type ST1 IEEE Type ST2 IEEE Type ST3 IEEE Type AC1 IEEE Type AC2 IEEE Type AC3 IEEE Type AC4 IEEE Type AC5A Basler SR8F & SR125A HPC 840 JEUMONT Industrie IEEE Type ST1D IEEE Type AC8B IEEE Type AC1A User-defined Dynamic Model (UDM) For IEEE type exciter and AVR systems, the equivalent transfer functions and their parameter names are in accordance with the IEEE recommended types from the following references: • • • IEEE Committee Report, “Computer Representation of Excitation System”, IEEE Trans. on PAS, Vol. PAS-87, No. 6, June 1968, pp 1460-1464. IEEE Committee Report, “Excitation System Models for Power System Stability Studies”, IEEE Trans. on PAS, Vol. PAS-100, No. 2, February 1981, pp 494-509. IEEE Std. 412.5-1992, “IEEE Recommended Practice for Excitation System Models for Power System Stability Studies”, IEEE Power Engineering Society, 1992 Excitation System Saturation Following is a typical block diagram for exciters: Operation Technology, Inc. 19-20 ETAP PowerStation 4.0 Dynamic Models Excitation System This diagram shows the output of the AVR is applied to the exciter after a saturation function SE is subtracted from it. The exciter parameter KE represents the setting of the shunt field rheostat when a selfexcited shunt field is used. It should be noted that there is a dependency between exciter ceiling Efdmax, AVR ceiling VRmax, exciter saturation SE and exciter constant KE. These parameters are related by the following equation (the sign of KE is negative for a self-excited shunt field): VR – ( KE + SE ) Efd = 0 for Efdmin < Efd < Efdmax At excitation ceiling ( Efd = Efdmax ) the above equation becomes: VRmax = (KE +SEmax ) - Efdmax Therefore, it is important that the exciter parameters entered satisfy the above equation, when applicable. PowerStation will check this condition at run time and flag any violations. The exciter saturation function (SE) represents the increase in exciter excitation due to saturation. It is defined as: where the quantities A and B are defined as the exciter field currents which produce the exciter output voltage on the constant-resistance-load saturation curve and air gap line, respective, as shown in the exciter saturation curve below PowerStation assumes that SE is specified at the following exciter voltages: Saturation Factor SEmax SE.75max Operation Technology, Inc. Exciter Voltage Efdmax 0.75Efdmax 19-21 ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (1) 19.4.1 IEEE Type 1 IEEE Type 1 - Continuously Acting Regulator and Exciter (1) This type of exciter and AVR system represents a continuously acting regulator with rotating exciter system. Some vendors' units represented by this model include: • • • Westinghouse brushless systems with TRA, Mag-A-Stat, Silverstat, or Rotoroal regulator Allis Chalmers systems with Regulex regulator General Electric systems with Amplidyne or GDA regulator Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Operation Technology, Inc. 19-22 ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (1) Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter VRmax VRmin SEmax SE.75 Efdmax KA KE KF TA TE TF TR Definition Maximum value of the regulator output voltage Minimum value of the regulator output voltage The value of excitation function at Efdmax The value of excitation function at 0.75 Efdmax Maximum exciter output voltage Regulator gain Exciter constant for self-excited field Regulator stabilizing circuit gain Regulator amplifier time constant Exciter time constant Regulator stabilizing circuit time constant Regulator input filter time constant Operation Technology, Inc. 19-23 Unit p.u. p.u. p.u. p.u. p.u. p.u. Sec. Sec. Sec. Sec. ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (2) 19.4.2 IEEE Type 2 IEEE Type 2 - Rotating Rectifier System (2) This type of exciter and AVR system represents a rotating rectifier exciter with static regulator system. Its characteristics are similar to IEEE Type 1 exciter, except for the feedback damping loop. This system applies to units where the main input to the damping loop is provided from the regulator output rather than the exciter output. To compensate for the exciter damping which is not included in the damping loop, the feedback transfer function contains one additional time-constant. An example of such a system is the Westinghouse brushless system, which was in service up to 1966. Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Operation Technology, Inc. 19-24 ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (2) Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter VRmax VRmin SEmax SE.75 Efdmax KA KE KF TA TE TF1 TF2 TR Definition Maximum value of the regulator output voltage Minimum value of the regulator output voltage The value of excitation function at Efdmax The value of excitation function at 0.75 Efdmax Maximum exciter output voltage Regulator gain Exciter constant for self-excited field Regulator stabilizing circuit gain Regulator amplifier time constant Exciter time constant Regulator stabilizing circuit first time constant Regulator stabilizing circuit second time constant Regulator input filter time constant Operation Technology, Inc. 19-25 Unit p.u. p.u. p.u. p.u. p.u. p.u. Sec. Sec. Sec. Sec. Sec. ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (3) 19.4.3 IEEE Type 3 (1− A) Ifd It A = (0.78X1I fd / Vthev ) 2 Vthev = KPVt + jKI It × VB = 0 for A > 1.8 Vref Vt 1 1 + sT R - + ∑ - VBmax VRmax + KA 1 + sT A + VRmin ∑ 1 K E + sT E Efd 0.0 sK F 1 + sT F IEEE Type 3 - Static System with Terminal Potential and Current Supplies (3) This type of exciter and AVR system represents static excitation systems with compound terminal voltage and current feedback. The regulator transfer function for this model is similar to IEEE Type 1. In this model, the regulator output is combined with a signal, which represents the self-excitation from the generator terminals. An example of such a system is the General Electric SCPT system. Operation Technology, Inc. 19-26 ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (3) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter VRmax VRmin VBmax KA KE KF KI KP XL TA TE TF TR Definition Maximum value of the regulator output voltage Minimum value of the regulator output voltage The value of excitation function at Efdmax Regulator gain Exciter constant for self-excited field Regulator stabilizing circuit gain Current circuit gain coefficient Potential circuit gain coefficient Reactance associated with potential source Regulator amplifier time constant Exciter time constant Regulator stabilizing circuit second time constant Regulator input filter time constant Operation Technology, Inc. 19-27 Unit p.u. p.u. p.u. p.u. p.u. p.u. Sec. Sec. Sec. Sec. ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (1S) 19.4.4 IEEE Type 1S IEEE Type 1S - Controlled Rectifier System with Terminal Voltage (1S) In this type of exciter and AVR system, excitation is obtained through terminal voltage rectification. In this model the maximum regulated voltage (VRmax) is proportional to terminal voltage Vt. Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Operation Technology, Inc. 19-28 ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (1S) Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter VRmin Efdmax KA KF KP TA TF TR Definition Minimum value of the regulator output voltage The value of excitation function at Efdmax Regulator gain Exciter constant for self-excited field Regulator stabilizing circuit gain Regulator amplifier time constant Regulator stabilizing circuit second time constant Regulator input filter time constant Operation Technology, Inc. 19-29 Unit p.u. p.u. p.u. p.u. p.u. Sec. Sec. Sec. ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (DC1) 19.4.5 IEEE Type DC1 IEEE Type DC1 - DC Commutator Exciter with Continuous Voltage Regulation (DC1) This type of exciter and AVR system is used to model field-controlled DC-commutator exciters with continuous voltage regulators. Examples of this model are: • • • Allis Chalmers Regulex regulator General Electric Amplidyne and GDA regulator Westinghouse Mag-A-Stat, Rototrol, Silverstat, and TRA regulators Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Operation Technology, Inc. 19-30 ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (DC1) Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter VRmax VRmin SEmax SE.75 Efdmax KA KE KF TA TB TC TE TF TR Definition Maximum value of the regulator output voltage Minimum value of the regulator output voltage The value of excitation function at Efdmax The value of excitation function at 0.75 Efdmax Maximum exciter output voltage Regulator gain Exciter constant for self-excited field Regulator stabilizing circuit gain Regulator amplifier time constant Voltage regulator time constant Voltage regulator time constant Exciter time constant Regulator stabilizing circuit time constant Regulator input filter time constant Operation Technology, Inc. 19-31 Unit p.u. p.u. p.u. p.u. p.u. p.u. Sec. Sec. Sec. Sec. Sec. Sec. ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (DC2) 19.4.6 IEEE Type DC2 IEEE Type DC2 - DC Commutator Exciter with Continuous Voltage Regulation and Supplies from Terminal Voltage (DC2) This type of exciter and AVR system is used for field-controlled DC commutator exciters with continuous voltage regulators supplied from the generator or auxiliaries bus voltage. Its only difference from IEEE Type DC1 is the regulator output limits, which are now proportional to terminal voltage Vt. Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Operation Technology, Inc. 19-32 ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (DC2) Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter VRmax VRmin SEmax SE.75 Efdmax KA KE KF TA TB TC TE TF TR Definition Maximum value of the regulator output voltage Minimum value of the regulator output voltage The value of excitation function at Efdmax The value of excitation function at 0.75 Efdmax Maximum exciter output voltage Regulator gain Exciter constant for self-excited field Regulator stabilizing circuit gain Regulator amplifier time constant Voltage regulator time constant Voltage regulator time constant Exciter time constant Regulator stabilizing circuit time constant Regulator input filter time constant Operation Technology, Inc. 19-33 Unit p.u. p.u. p.u. p.u. p.u. p.u. Sec. Sec. Sec Sec. Sec. Sec. ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (DC3) 19.4.7 IEEE Type DC3 IEEE Type DC3 - DC Commutator Exciter with Non-Continuous Voltage Regulation (DC3) This type of exciter and AVR system is used for the older DC commutator exciters with non-continuously acting regulators. Examples of this model are: • • General Electric exciter with GFA4 regulator Westinghouse exciter with BJ30 regulator Operation Technology, Inc. 19-34 ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (DC3) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter VRmax VRmin SEmax SE.75 Efdmax KE KV TE TR TRH Definition Maximum value of the regulator output voltage Minimum value of the regulator output voltage The value of excitation function at Efdmax The value of excitation function at 0.75 Efdmax Maximum exciter output voltage Exciter constant for self-excited field Fast raise/Lower contact setting Exciter time constant Regulator input filter time constant Rheostat travel time Operation Technology, Inc. 19-35 Unit p.u. p.u. p.u. p.u. p.u. Sec. Sec. Sec. ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (ST1) 19.4.8 IEEE Type ST1 IEEE Type ST1 - Potential-Source Controlled-Rectifier Exciter (ST1) This type of exciter and AVR system is used to represent potential-source, controlled-rectifier excitation systems. This is intended for all systems supplied through a transformer from the generator terminals. Examples of this model include: • • • Canadian General Electric Silcomatic exciters Westinghouse Canada Solid State Thyristor exciters Westinghouse type PS static excitation systems with type WTA or WHS regulators Operation Technology, Inc. 19-36 ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (ST1) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter VRmax VRmin VImax VImin KA KC KF TA TB TC TF TR Definition Maximum value of the regulator output voltage Minimum value of the regulator output voltage Maximum internal signal within voltage regulator Minimum internal signal within voltage regulator Regulator gain Regulator gain Regulator stabilizing circuit gain Regulator amplifier time constant Voltage Regulator amplifier time constant Voltage Regulator amplifier time constant Regulator stabilizing circuit time constant Regulator input filter time constant Operation Technology, Inc. 19-37 Unit p.u. p.u. p.u. p.u. p.u. p.u. p.u. Sec. Sec. Sec. Sec. Sec. ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (ST2) 19.4.9 IEEE Type ST2 IEEE Type ST2 - Static System with Terminal Potential and Current Supplies (ST2) This type of exciter and AVR system is used for compound source rectifier excitation systems. These systems use both current and voltage sources. An example of this model is General Electric static exciter SCT-PPT or SCPT. Operation Technology, Inc. 19-38 ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (ST2) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter VRmax VRmin Efdmax KA KC KE KF KI KP TA TE TF TR Definition Maximum value of the regulator output voltage Minimum value of the regulator output voltage Maximum exciter output voltage Regulator gain Regulator gain Exciter constant for self-excited field Regulator stabilizing circuit gain Current circuit gain coefficient Potential circuit gain coefficient Regulator amplifier time constant Exciter time constant Regulator stabilizing circuit time constant Regulator input filter time constant Operation Technology, Inc. 19-39 Unit p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. Sec. Sec. Sec. Sec. ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (ST3) 19.4.10 IEEE Type ST3 IEEE Type ST3 - Compound Source-Controlled Rectifier Exciter (ST3) This type of exciter and AVR system represents compound-source rectifier excitation systems. These exciters utilize internal quantities within the generator as the source of power. Examples of this model are: • • General Electric GENERREX exciter Shunt-Thyristor exciter Operation Technology, Inc. 19-40 ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (ST3) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter VRmax VRmin Efdmax VGmax VImax VImin KA KC KG KI KJ KPreal KPimg TA TB TC TE TR XL Definition Maximum value of the regulator output voltage Minimum value of the regulator output voltage Maximum exciter output voltage Maximum inner loop voltage feedback Maximum internal signal within voltage regulator Minimum internal signal within voltage regulator Regulator gain Rectifier loading factor related to commutating reactance Inner loop feedback constant Current circuit gain coefficient First stage regulation gain Real part of potential circuit gain coefficient Reactive part of potential circuit gain coefficient Regulator amplifier time constant Exciter time constant Regulator stabilizing circuit time constant Exciter time constant Regulator input filter time constant Reactance associated with potential source Operation Technology, Inc. 19-41 Unit p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. Sec. Sec. Sec. Sec. Sec. p.u. ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (AC1) 19.4.11 IEEE Type AC1 Vref Vt 1 1 + sT R - + ∑ - 1 + sTC 1 + sTB VRmax KA 1 + sTA + ∑ - 1 sTE VE 0 VRmin Efd × FEX = f (IN ) IN sK F 1 + sTF SE + KE + IN = K C I fd VE ∑ + KD Ifd IEEE Type AC1 - Alternator-Rectifier Exciter System with Non-Controlled Rectifiers and Field Current Feedback (AC1) This type of exciter and AVR system represents alternator-rectifier excitation systems with non-controlled rectifiers and exciter field current feedback. There is no self-excitation and the source of voltage regulator power is not affected by external transients. Westinghouse Brushless excitation systems fall under this type of exciter model. Operation Technology, Inc. 19-42 ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (AC1) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter VRmax VRmin SEmax SE.75 Efdmax KA KC KD KE KF TA TB TC TE TF TR Definition Maximum value of the regulator output voltage Minimum value of the regulator output voltage The value of excitation function at Efdmax The value of excitation function at 0.75 Efdmax Maximum exciter output voltage Regulator gain Rectifier loading factor related to commutating reactance Demagnetizing factor Exciter constant for self-excited field Regulator stabilizing circuit gain Regulator amplifier time constant Exciter time constant Regulator stabilizing circuit time constant Exciter time constant Regulator stabilizing circuit time constant Regulator input filter time constant Operation Technology, Inc. 19-43 Unit p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. Sec. Sec. Sec. Sec. Sec. Sec. ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (AC2) 19.4.12 IEEE Type AC2 Vref 1 1 + sT R Vt - VAmax + 1 + sTC 1 + sT B ∑ - KA 1 + sT A VAmin VRmax + ∑ - LV GATE + KB 1 sT E ∑ - VE 0 VRmin VLR KL KH sK F 1 + sT F + Efd × FEX = f (IN ) IN ∑ SE + K E + ∑ + IN = K C I fd VE KD Ifd IEEE Type AC2 - High-Initial-Response Alternator-Rectifier Exciter System (AC2) This type of exciter and AVR system represents high-initial-response, field-controlled alternator-rectifier excitation systems. It uses an alternator main exciter and non-controlled rectifiers. It is similar to IEEE Type AC1 exciter model but has two additional field current feedback loops. An example of this model is Westinghouse High-Initial-Response Brushless excitation system. Operation Technology, Inc. 19-44 ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (AC2) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter VRmax VRmin SEmax SE.75 VAmax VAmin Efdmax KA KB KC KD KE KF Definition Maximum value of the regulator output voltage Minimum value of the regulator output voltage The value of excitation function at Efdmax The value of excitation function at 0.75 Efdmax Maximum regulator internal voltage Minimum regulator internal voltage Maximum exciter output voltage Regulator gain Second stage regulator gain Rectifier loading factor related to commutating reactance Demagnetizing factor Exciter constant for self-excited field Regulator stabilizing circuit gain Operation Technology, Inc. 19-45 Unit p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (AC2) Parameter KH KL TA TB TC TE TF TR VLR Definition Exciter field current feedback gain Gain of exciter field current limit Regulator amplifier time constant Exciter time constant Regulator stabilizing circuit time constants Exciter time constant Regulator stabilizing circuit time constant Regulator input filter time constant Exciter field current limit reference Operation Technology, Inc. 19-46 Unit p.u. p.u. Sec. Sec. Sec. Sec. Sec. Sec. ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (AC3) 19.4.13 IEEE Type AC3 VLV + KLV Vref Vt 1 1 + sT R - 1 + sTC 1 + sT B + ∑ - ∑ VAmax KA 1 + sT A HV GATE VAmin s 1 + sT F × + 1 sT E ∑ - VE 0 VN VN = g (E fd ) Efd × FEX = f (IN ) IN KR SE + K E + IN = K C I fd VE ∑ + KD Ifd IEEE Type AC3 - Field-Controlled Alternator-Rectifier Exciter (AC3) This type of exciter and AVR system represents field-controlled, alternator-rectifier excitation systems. It can model systems that derive voltage regulator power from the exciter output voltage and simulate their non-linearity. An example of this model is General Electric ALTERREX excitation system using static voltage regulators. Operation Technology, Inc. 19-47 ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (AC3) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter SEmax SE.75 Efdmax EFDN VAmax VAmin VLV KA KC KD KE KF KLV Definition The value of excitation function at Efdmax The value of excitation function at 0.75 Efdmax Maximum exciter output voltage Value of Efd at which feedback gain changes Maximum regulator internal voltage Minimum regulator internal voltage Exciter low voltage limit reference Regulator gain Rectifier loading factor related to commutating reactance Demagnetizing factor Exciter constant for self-excited field Regulator stabilizing circuit gain Gain of the exciter low voltage limit signal Operation Technology, Inc. 19-48 Unit p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (AC3) Parameter KN TA TB TC TE TF TR KR Definition Exciter control system stabilizer gain Regulator amplifier time constant Exciter time constant Regulator stabilizing circuit time constant Exciter time constant Regulator stabilizing circuit time constant Regulator input filter time constant Constant for regulator and alternator field power supply Operation Technology, Inc. 19-49 Unit p.u. Sec. Sec. Sec. Sec. Sec. Sec. p.u. ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (AC4) 19.4.14 IEEE Type AC4 IEEE Type AC4 - High-Initial-Response Alternator-Supplied Controlled Rectifier Exciter (AC4) This type of exciter and AVR system represents alternator-supplied, controlled-rectifier excitation systems. A high-initial response excitation system, it has a Thyristor bridge at the output circuit. General Electric ALTHYREX and Rotating Thyristor excitation systems are examples of this type of exciter. Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Operation Technology, Inc. 19-50 ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (AC4) Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter VRmax VRmin VImax VImin KA KC TA TB TC TR Definition Maximum value of the regulator output voltage Minimum value of the regulator output voltage The value of excitation function at Efdmax The value of excitation function at 0.75 Efdmax Regulator gain Rectifier loading factor related to commutating reactance Regulator amplifier time constant Exciter time constant Regulator stabilizing circuit time constant Regulator input filter time constant Operation Technology, Inc. 19-51 Unit p.u. p.u. p.u. p.u. p.u. p.u. Sec. Sec. Sec. Sec. ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (AC5A) 19.4.15 IEEE Type AC5A IEEE Type AC5A - Simplified Rotating Rectifier Excitation System (AC5A) This type of exciter and AVR system is a simplified model for brushless excitation systems. The regulator is supplied from a source, such as a permanent magnet generator, which is not affected by system disturbances. This model can be used to represent small excitation systems such as those produced by Basler and Electric Machinery. Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Operation Technology, Inc. 19-52 ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (AC5A) Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter VRmax VRmin SEmax SE.75 Efdmax KA KE KF TA1 TA2 TA3 TE TF1 TF2 TF3 TR Definition Maximum value of the regulator output voltage Minimum value of the regulator output voltage The value of excitation function at Efdmax The value of excitation function at 0.75 Efdmax Maximum exciter output voltage Regulator gain Exciter constant for self-excited field Regulator stabilizing circuit gain Voltage regulator time constant Voltage regulator time constant Voltage regulator time constant Exciter time constant Exciter control system time constant Exciter control system time constant Exciter control system time constant Regulator input filter time constant Operation Technology, Inc. 19-53 Unit p.u. p.u. p.u. p.u. p.u. p.u. Sec. Sec. Sec. Sec. Sec. Sec. Sec. Sec. ETAP PowerStation 4.0 Dynamic Models Excitation System Basler SR8F & SR125A (SR8F) 19.4.16 Basler SR8F & SR125A Basler SR8F & SR125A Excitation System (SR8F) This type of exciter and AVR system is used to represent Basler SR8F and SR125A exciter systems. Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Operation Technology, Inc. 19-54 ETAP PowerStation 4.0 Dynamic Models Excitation System Basler SR8F & SR125A (SR8F) Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter VRmax VRmin KA KF TA TB TF1 TF2 TR Definition Maximum value of the regulator output voltage Minimum value of the regulator output voltage Regulator gain Regulator stabilizing circuit gain Regulator amplifier time constant Voltage regulator time constant Regulator stabilizing circuit time constant Regulator stabilizing circuit time constant (Rot. Rec.) Regulator input filter time constant Operation Technology, Inc. 19-55 Unit p.u. p.u. p.u. p.u. Sec. Sec. Sec. Sec. Sec. ETAP PowerStation 4.0 Dynamic Models Excitation System HPC 840 (HPC) 19.4.17 HPC 840 HPC 840 Excitation and AVR System (HPC) This type of exciter and AVR system includes both forward gain and feedback damping loops. There are three compensation signals to regulate excitation voltages. These signals are terminal voltage magnitude, real power generation, and reactive power generation. Operation Technology, Inc. 19-56 ETAP PowerStation 4.0 Dynamic Models Excitation System HPC 840 (HPC) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter Amax Amin Bmax Bmin C D Efdmax Kpow KQ KE SE .75 SEmax TL T4 TD Definition Regulator internal maximum limit (Amax = VImax * Ka) Regulator internal minimum limit (Amin = VImin * Ka) Integrator upper limit (Bmax = LIMmax * Ka) Integrator lower limit (Bmin = LIMmin * Ka) Combined excitation system (C = Kg * kp * Ka) Combined stabilizing feedback gain (d = Kd * Kf/Kp) Maximum Exciter output voltage Active power compensation factor Reactive power compensation factor Exciter constant for self-excited field Value of excitation saturation function at 0.75 Efdmax Value of excitation saturation function at Efdmax Integration time constant Excitation system total delay Stabilizing feedback time constant Operation Technology, Inc. 19-57 Unit p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. Sec. Sec. Sec. ETAP PowerStation 4.0 Dynamic Models Excitation System HPC 840 (HPC) Parameter Tdsty TE TF TP TQ VRmax VRmin Control Bus Definition Voltage transducer filter time constant Exciter time constant Regulator stabilizing circuit time constant Active power compensation time constant Reactive power compensation time constant Maximum value of the regulator output voltage Minimum value of the regulator output voltage Voltage feedback bus ID Operation Technology, Inc. 19-58 Unit Sec. Sec. Sec. Sec. Sec. p.u. p.u. ETAP PowerStation 4.0 Dynamic Models Excitation System JEUMONT Industrie (JEUM) 19.4.18 JEUMONT Industrie JEUMONT - JEUMONT Industrie (JEUM) This type of exciter and AVR system consists of a voltage block, a current block, a voltage regulator block, and an excitation block. It uses a rotating rectifier for excitation system. Operation Technology, Inc. 19-59 ETAP PowerStation 4.0 Dynamic Models Excitation System JEUMONT Industrie (JEUM) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter AV1 AV2 AV3 AV4 AV5 AV6 AV7 AV8 AV9 AV10 AV11 Ai1 Definition Gain of voltage control loop Constant of voltage control loop Constant of voltage control loop Gain of voltage control loop Gain of reference voltage Gain of voltage control loop Time constant of voltage control loop Time constant of voltage control loop Time constant of voltage control loop Time constant of voltage control loop Parameter of voltage control loop Gain of current control loop Operation Technology, Inc. 19-60 Unit Sec. Sec. Sec. Sec. Sec. Sec. ETAP PowerStation 4.0 Dynamic Models Excitation System JEUMONT Industrie (JEUM) Parameter Ai2 Ai3 Ai4 Ai5 Ai6 Ai7 Ai8 Ai9 Ai10 Ai11 Ai12 AR1 AR2 KU1 KU2 Vres VSUP Te Ke SEmax SE.75max Efdmax Kae Kif Max1 Min1 Max2 Min2 Max3 Min3 Max4 Min4 Max5 Min5 Max6 Min6 Max7 Min7 Control Bus Definition Gain of supply voltage to current control loop Gain of current control loop Gain of current control loop Gain of current control loop Gain of current control loop Time constant of current control loop Time constant of current control loop Time constant of current control loop Time constant of current control loop Gain of current control loop Time constant of current control loop Gain of regulator Regulator reference Gain of terminal voltage feedback Gain of regulator Supply voltage of thy-bridge Supply voltage of current control loop Time constant of exciter loop Gain of exciter loop Saturation coefficient at maximum field voltage Saturation coefficient at 0.75 maximum field voltage Maximum field voltage Gain of field current feedback loop Gain of field current feedback Maximum value 1 of voltage control loop Minimum value 1 of voltage control loop Maximum value 2 of voltage control loop Minimum value 2 of voltage control loop Maximum value 3 of voltage control loop Minimum value 3 of voltage control loop Maximum value 4 of current control loop Minimum value 4 of current control loop Maximum value 5 of current control loop Minimum value 5 of current control loop Maximum value 6 of current control loop Minimum value 6 of current control loop Maximum value 7 of current control loop Minimum value 7 of current control loop Voltage feedback bus ID Operation Technology, Inc. 19-61 Unit Sec. Sec. Sec. Sec. Sec. V V V Sec. V V V V V V V V V V V V V V V V ETAP PowerStation 4.0 Dynamic Models Excitation System JEUMONT Industrie (JEUM) 19.4.19 IEEE Type ST1D IEEE Type ST1D- Static System with Terminal Potential and Current Supplies (ST1D) This type of exciter and AVR system is used for compound source rectifier excitation systems with voltsper-hertz limiter. These systems use both current and voltage sources. Operation Technology, Inc. 19-62 ETAP PowerStation 4.0 Dynamic Models Excitation System JEUMONT Industrie (JEUM) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter RC XC TR TC TB KA TA KF TF KC VVLR KVL TVL Definition Resistive part of reactive droop compensation Inductive part of reactive droop compensation Transducer time constant Transient gain reduction lead time constant Transient gain reduction lag time constant Amplifier gain Amplifier time constant Stabilizing feedback signal gain Stabilizing feedback signal time constant Field current gain Set point of V/Hz limiter Over-excitation feedback signal gain Over-excitation feedback signal time constant Operation Technology, Inc. 19-63 Unit p.u. p.u. Sec. Sec. Sec. p.u. Sec. p.u. Sec. p.u. p.u. p.u. Sec. ETAP PowerStation 4.0 Dynamic Models Excitation System JEUMONT Industrie (JEUM) Parameter KVF TH VImax VImin VRmax VRmin Vdc Rf Vref TD VHZ Ifb Vfb Definition Stabilizing feedback signal gain Measurement time constant Maximum error limit Minimum error limit Maximum regular output Minimum regular output Field flashing battery voltage Field flashing battery and external circuit resistance Voltage reference Pickup delay time V/Hz pickup value Exciter base current Exciter base voltage Operation Technology, Inc. 19-64 Unit p.u. Sec. p.u. p.u. p.u. p.u. Volts Ohms p.u. Sec. p.u. Amps Volts ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (AC8B) 19.4.20 IEEE Type AC8B Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Operation Technology, Inc. 19-65 ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (AC8B) Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter VRmax VRmin SEmax SE.75 Efdmax KP KI KD KA KE TD TA TE Definition Maximum value of the regulator output voltage in pu Minimum value of the regulator output voltage in pu Saturation value of exciter at Efdmax Saturation value of exciter at 0.75 Efdmax Maximum exciter output voltage in pu Proportional control gain in pu Integral control gain in pu Derivative control gain in pu Regulator gain in pu Exciter constant for self-excited field in pu Derivative control time constant in sec Regulator amplifier time constant in sec Exciter time constant in sec Operation Technology, Inc. 19-66 Unit p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. Sec. Sec. Sec. ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (AC1A) 19.4.21 IEEE Type AC1A IEEE Type AC1A Exciter (AC1A) Operation Technology, Inc. 19-67 ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (AC1A) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter VAmax VAmin VRmax VRmin VUEL VOEL SEmax SE.75 Efdmax KA Definition Maximum value of the regulator output voltage in pu Minimum value of the regulator output voltage in pu Maximum regulator internal voltage in pu Minimum regulator internal voltage in pu Underexcitation limiter in pu Overexcitation limiter in pu Saturation value of exciter at Efdmax in pu Saturation value of exciter at 0.75 Efdmax in pu Maximum exciter output voltage in pu Regulate gain in pu Operation Technology, Inc. 19-68 Unit p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (AC1A) Parameter KC KD KF KE TA TC TB TE TF TR a1 a2 b1 b2 b3 b4 b5 b6 b7 b8 b9 b10 Definition Rectifier loading factor in pu Demagnetizing factor in pu Regulate stabilizing circuit gain in pu Exciter gain in pu Regulator amplifier time constant in sec Internal signal lead time constant in sec Internal signal lag time constant in sec Exciter time constant in sec Regulate stabilizing time constant in sec Regulate input filter time in sec Rectifier regulation characteristic coefficient in pu Rectifier regulation characteristic coefficient in pu Rectifier regulation characteristic coefficient in pu Rectifier regulation characteristic coefficient in pu Rectifier regulation characteristic coefficient in pu Rectifier regulation characteristic coefficient in pu Rectifier regulation characteristic coefficient in pu Rectifier regulation characteristic coefficient in pu Rectifier regulation characteristic coefficient in pu Rectifier regulation characteristic coefficient in pu Rectifier regulation characteristic coefficient in pu Rectifier regulation characteristic coefficient in pu Operation Technology, Inc. 19-69 Unit p.u. p.u. p.u. p.u. Sec. Sec. Sec. Sec. Sec. Sec. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. ETAP PowerStation 4.0 Dynamic Models Excitation System User-defined Dynamic Model (UDM) 19.4.22 User-defined Dynamic Model (UDM) From the exciter type list, user can access UDM models that have been created and save. Details on how to use UDM model are described in User-define Dynamic Models chapter. Operation Technology, Inc. 19-70 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine 19.5 Governor-Turbine Modeling of governor-turbine system in transient stability studies is essential for simulation time frames of more than a second. PowerStation provides the following governor-turbine models: • • • • • • • • • • • • • • • • • • • • • • • • • Steam-Turbine (ST) Single-Reheat Steam-Turbine (ST1) Tandem-Compound Single-Reheat Steam-Turbine (ST2) Tandem-Compound Double-Reheat Steam-Turbine (ST3) IEEE General Steam-Turbine (STM) Gas-Turbine (GT) Gas-Turbine including Fuel System (GTF) General Purpose (GP) Diesel-Engine (DT) Woodward Steam-Turbine 505 Woodward UG-8 Woodward Governor 2301 GE Heavy Duty Governor and Gas Turbine (GTH) GE Simplified Heavy Duty Governor and Gas Turbine (GTS) Solar Turbine MARS Governor Set (MARS) Detroit Diesel DDEC Governor Turbine (DDEC) GHH BROSIG Steam-Turbine Governor (GHH) Woodward Hydraulic Governor-turbine (HYDR) IEEE Gas -Turbine (SGT) PowerLogic Governor-turbine Model A (PL-A) Solar Taurus 60 Solonox Gas Fuel Turbine/Governor (ST60) Solar Taurus 70 Solonox Gas Fuel Turbine/Governor (ST70) Gas-Turbine and Governor (GT-2) Gas-Turbine and Governor (GT-3) Combustion Turbine and Governor (CT251) For IEEE type governor-turbine systems, the equivalent transfer functions and their parameter names are in accordance with the IEEE recommended types from the following reference: • IEEE Committee Report, "Dynamic Models for Steam and Hydro Turbines in Power System Studies", IEEE Transaction on Power Apparatus and System, Vol. PAS-92, No. 6, Nov./Dec. 1973, pp. 1904-1915. • IEEE Committee Report, "Dynamic Models for Fossil Fueled Steam Units in Power System Studies", IEEE Transactions on Power Systems, Vol. PS-6, No. 2, May 1991, pp. 753-761. Operation Technology, Inc. 19-71 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Steam Turbine (ST) 19.5.1 Steam-Turbine (ST) ST Governor System Representation (ST) This type of governor-turbine system represents a simple steam turbine and speed governing system. Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Operation Technology, Inc. 19-72 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Steam Turbine (ST) Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter Mode Droop Fhp Pmax Pmin Tc Tch Trh Tsr Definition Droop or Isoch Steady-state speed droop (Shaft capacity ahead of reheater)/(Total shaft capacity) Maximum shaft power (rated MW) Minimum shaft power ( > = 0) Governor reset time constant Steam chest time constant Reheater time constant Speed relay time constant Operation Technology, Inc. 19-73 Unit % p.u. MW MW Sec. Sec. Sec. Sec. ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Single-Reheat Steam-Turbine (ST1) 19.5.2 Single-Reheat Steam-Turbine (ST1) Single-Reheat Steam-Turbine (ST1) This type of governor-turbine system represents a two-stage steam turbine with reheat and speed governing system. It consists of a speed relay, a control amplifier, a steam chest, and a reheater. Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Operation Technology, Inc. 19-74 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Single-Reheat Steam-Turbine (ST1) Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter Mode Droop Fhp Pmax Pmin Tc Tch Tdrp Tsr Definition Droop or Isoch Steady-state speed droop (Shaft capacity ahead of reheater)/(Total shaft capacity) Maximum shaft power Minimum shaft power Governor reset time constant Steam time constant Load sensor time constant Speed relay time constant in second Operation Technology, Inc. 19-75 Unit % p.u. MW MW Sec. Sec. Sec. Sec. ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Compound Single-Reheat Steam (ST2) 19.5.3 Compound Single-Reheat Steam-Turbine (ST2) Compound Single-Reheat Steam-Turbine (ST2) This type of governor-turbine system represents a tandem-compound, single-reheat steam turbine, and speed governing system. It is a type ST1 model with a block representing crossover piping to the lowpressure turbines. Operation Technology, Inc. 19-76 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Compound Single-Reheat Steam (ST2) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter Mode Droop Fhp Fip Flp Pmax Pmin Tc Tch Tco Trh Tsr Definition Droop or Isoch Steady-state speed droop (Shaft capacity ahead of reheater)/(Total shaft capacity) Intermediate pressure turbine power fraction Low pressure turbine power fraction Maximum shaft power Minimum shaft power Governor reset time constant Steam chest time constant Crossover time constant Reheater time constant Speed relay time constant Operation Technology, Inc. 19-77 Unit % p.u. p.u. p.u MW MW Sec. Sec. Sec. Sec. Sec. ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Compound Double-Reheat Steam (ST3) 19.5.4 Compound Double-Reheat Steam-Turbine (ST3) Compound Double-Reheat Steam-Turbine (ST3) This type of governor-turbine system represents a tandem-compound, double-reheat steam turbine, and speed governing system. It is similar to type ST2 model except for the added block representing reheated steam between the very-high pressure and high-pressure turbines. Operation Technology, Inc. 19-78 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Compound Double-Reheat Steam (ST3) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter Mode Droop Fhp Fip Flp Fvhp Pmax Pmin Tc Tch Tco Trh1 Trh2 Tsr Definition Droop or Isoch Steady-state speed droop (Shaft capacity ahead of reheater)/(Total shaft capacity) Intermediate pressure turbine power fraction Low pressure turbine power fraction Very high pressure turbine power fraction Maximum shaft power Minimum shaft power Governor reset time constant Steam chest time constant Crossover time constant First reheater time constant Second reheater time constant Speed relay time constant Operation Technology, Inc. 19-79 Unit % p.u. p.u. p.u. p.u. MW MW Sec. Sec. Sec. Sec. Sec. Sec. ETAP PowerStation 4.0 Dynamic Models Governor-Turbine IEEE General Steam-Turbine (STM) 19.5.5 IEEE General Steam-Turbine (STM) IEEE General Steam-Turbine (STM) This type of governor-turbine system represents an IEEE suggested general steam turbine and speed governing system. It may be used for modeling the steam systems represented by ST, ST1, ST2, and ST3, as well as the cross-compound, single-reheat and cross-compound, double-reheat systems. Operation Technology, Inc. 19-80 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine IEEE General Steam-Turbine (STM) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter Mode Droop DB K1 K2 K3 K4 K5 K6 K7 K8 Pmax Pmin T1 Definition Droop or Isoch Steady-state speed droop in second Speed deadband Partial very high pressure turbine power fraction Partial very high pressure turbine power fraction Partial high pressure turbine power fraction Partial high pressure turbine power fraction Partial intermediate pressure turbine power fraction Partial intermediate pressure turbine power fraction Partial low pressure turbine power fraction Partial low pressure turbine power fraction Maximum shaft power Minimum shaft power Amplifier / Compensator time constant Operation Technology, Inc. 19-81 Unit % p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. MW MW Sec. ETAP PowerStation 4.0 Dynamic Models Governor-Turbine IEEE General Steam-Turbine (STM) Parameter T2 T3 T4 T5 T6 T7 UC UO Definition Amplifier / Compensator time constant Amplifier / Compensator time constant Load sensor (droop) time constant Control Amp. / current driver time constant Acutator time constant Engine dead time constant Limit of value closing Limit of value opening Operation Technology, Inc. 19-82 Unit Sec. Sec. Sec. Sec. Sec. Sec. ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Gas Turbine (GT) 19.5.6 Gas-Turbine (GT) Gas-Turbine (GT) This type of governor-turbine system represents a simple gas turbine and speed governing system. Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Operation Technology, Inc. 19-83 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Gas Turbine (GT) Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter Mode Droop Pmax Pmin Tc Tsr Tt Definition Droop or Isoch Steady-state speed droop in second Maximum shaft power Minimum shaft power Governor reset time constant Speed relay time constant Turbine relay time constant Operation Technology, Inc. 19-84 Unit % MW MW Sec. Sec. Sec. ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Gas Turbine including Fuel System (GTF) 19.5.7 Gas-Turbine including Fuel System (GTF) Gas-Turbine including Fuel System (GTF) This type of governor-turbine system represents a steam turbine and speed governing system, with the inclusion of the fuel system. Operation Technology, Inc. 19-85 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Gas Turbine including Fuel System (GTF) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter Mode Droop Ff KD Kf Kr Pmax Pmin T1 T2 T3 T4 T5 T6 T7 T8 T9 VL VU Definition Droop or Isoch Steady-state speed droop Minimum fuel flow Governor gain Fuel system feedback gain Kf = 0 or 1 Fuel system transfer function gain Maximum shaft power Minimum shaft power Amplifier / Compensator time constant Amplifier / Compensator time constant Amplifier / Compensator time constant Load sensor (droop) time constant Control Amp. / current driver time constant Acutator time constant Engine dead time constant Fuel value time constant Fuel system lead time constant Lower incremental power limit Upper incremental power limit Operation Technology, Inc. 19-86 Unit % MW MW Sec. Sec. Sec. Sec. Sec. Sec. Sec. Sec. Sec. p.u. p.u. ETAP PowerStation 4.0 Dynamic Models Governor-Turbine General Purpose (GP) 19.5.8 General Purpose (GP) General Purpose (GP) This type of governor-turbine system represents a general purpose governor-turbine system. Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Operation Technology, Inc. 19-87 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine General Purpose (GP) Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter Mode Droop Pmax Pmin Ta Tc Tdrp Tsr Tt Definition Droop or Isoch Steady-state speed droop Maximum shaft power Minimum shaft power Actuator time constant Governor reset time constant Load sensor time constant Speed relay time constant Turbine relay time constant Operation Technology, Inc. Unit % MW MW Sec. Sec. Sec. Sec. Sec. 19-88 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Diesel-Engine (DT) 19.5.9 Diesel-Engine (DT) Diesel-Engine (DT) This type of governor-turbine system represents a simple diesel engine and speed governing system. Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Operation Technology, Inc. 19-89 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Diesel-Engine (DT) Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter Mode Droop Pmax Pmin T1 T2 T3 T4 T5 T6 T7 T8 Definition Droop or Isoch Steady-state speed droop Maximum shaft power Minimum shaft power Amplifier / Compensator time constant Amplifier / Compensator time constant Amplifier / Compensator time constant Load sensor (droop) time constant Control Amp. / current driver time constant Acutator time constant Engine dead time constant Fuel value time constant Operation Technology, Inc. 19-90 Unit % MW MW Sec. Sec. Sec. Sec. Sec. Sec. Sec. Sec. ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Woodward Steam-Turbine 505 (505) 19.5.10 Woodward Steam-Turbine 505 Speed Ref Speed 1 + sD1 1 + sT f 1 + - e −1.5Ts ∑ Speed Ctrl Loop + P1 ∑ + - 1 ∑ Ratio/ Limiter + Turbine Shaft HP L1 1 1 + sT a 1 1 1 + sT m 1 Pm 1 1 + sT m 2 EF L2 Dr1 1 1 + s / I1 Steam Map L3 + P2 ∑ + - Inverse Ratio/ Limiter 1 ∑ + L4 Dr 2 1 1 + sT a 2 LP 1 1+ s / I2 Extraction Flow Extraction Ctrl Loop Ext Press - e −1.5Ts ∑ + 1 + sD2 1 + sT f 2 Ext Pres Ref Woodward 505 and 505E Steam-Turbine (505) This type of governor-turbine system represents the Woodward 505 and 505E PID governor for extraction steam turbine system. Operation Technology, Inc. 19-91 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Woodward Steam-Turbine 505 (505) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter Mode Droop1 Droop2 Efmax ExtFlow ExtPress Hpa HPb HPc Hpmax I1 <D> I1 <I> I2 L1 L2 L3 L4 Definition Droop or Isoch Steady-state speed droop Extraction loop droop Max. extraction flow Turbine extraction flow Extraction pressure Min. extraction @ max. power Max. extraction @ min. power Min. extraction @ min. power Max. HP flow Speed loop integral (Droop mode) Speed loop integral gain in (Isoch mode) Extraction loop integral gain Up limit for speed loop output Low limit for speed loop output Up limit for extraction loop output Low limit for extraction loop output Operation Technology, Inc. 19-92 Unit % % T/Hr % % T/Hr T/Hr T/Hr T/Hr % % % % % % % ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Woodward Steam-Turbine 505 (505) Parameter P1 <D> P1 <I> P2 RampRate Sa Sb Sc SDR1 SDR1 <I> SDR2 Smax Ta1 Ta2 Tm1 Tm2 TS Definition Speed loop proportional gain (Droop mode) Speed loop proportional gain (Isoch mode) Extraction loop proportional gain Speed reference ramp rate Max. power @ min. extraction Min. power @ max. extraction Min. power @ min. extraction Speed loop parameter (Droop mode) Speed loop parameter (Isoch mode) Extraction loop parameter Max. power HP valve actuator time constant LV valve actuator time constant Turbine time constant (shaft power output) Turbine time constant (extraction flow) Controller sample time Operation Technology, Inc. 19-93 Unit % % % % %/Sec. kW kW % % % kW Sec. Sec. Sec. Sec. Sec. ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Woodward UG-8 (UG-8) 19.5.11 Woodward UG-8 Woodward UG-8 (UG-8) This type of governor-turbine system represents the Woodward UG-8 governor, used mainly for diesel generators. This model includes a representation for a ball head filter, amplifier/compensator, and a diesel engine. Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Operation Technology, Inc. 19-94 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Woodward UG-8 (UG-8) Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter Mode A1 A2 A3 Ad B1 B2 C1 K1 Pmax Pmin T7 T8 Definition Droop or Isoch Compensator constant Compensator constant Compensator constant Permanent droop constant Ball head filter constant Ball head filter constant Governor drive ratio Partial very high pressure turbine power fraction Maximum shaft power Minimum shaft power Engine dead time constant Fuel value time constant Operation Technology, Inc. 19-95 Unit rad/Sec. rad/Sec. rad/Sec. rpm/in Deg/in MW MW Sec. Sec. ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Woodward 2301 (2301) 19.5.12 Woodward Governor 2301 This type of governor-turbine system represents the Woodward 2301 and 2301A speed governing systems with a diesel turbine system and load sharing capability. Woodward Governor 2301A and 2301 (2301) Operation Technology, Inc. 19-96 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Woodward 2301 (2301) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Load Sharing (MW Sharing) To share load (MW) between generators, set LS GP# (Load Sharing Group Number) of 2301 governors to the same group number. Note that in order to use this capability, load sharing governors must be in isochronous mode. Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter Mode LS GP# Droop θmax θmin α β ρ K1 Definition Droop or Isoch Load sharing group number Steady-state speed droop in second Min. shaft position in degrees Max. shaft position in degrees Gain setting Reset setting Actuator compensation setting Partially very high pressure power fraction Operation Technology, Inc. 19-97 Unit % Deg Deg Deg/A ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Woodward 2301 (2301) Parameter τ T1 T2 Pmax Pmin Definition Actuator time constant Amplifier / compensator time constant Amplifier / compensator time constant Maximum shaft power Minimum shaft power Operation Technology, Inc. 19-98 Unit Sec. Sec. Sec. MW MW ETAP PowerStation 4.0 Dynamic Models Governor-Turbine GE Gas Turbine (GTH) 19.5.13 GE Heavy Duty Governor - Gas Turbine (GTH) This type of governor-turbine system represents the GE heavy-duty gas turbine speed governing system. GE Heavy Duty Governor and Gas Turbine (GTH) Operation Technology, Inc. 19-99 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine GE Gas Turbine (GTH) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter Mode Droop Max Min Term.Ctrl Acc.Ctrl X Y Z a b c Kf Definition Droop or Isoch Steady-state speed droop in second Fuel upper limit (VCE' upper limit) Fuel lower limit (VCE' lower limit) Flag to include temperature control loop Flag to include acceleration control loop Governor transfer function coefficient Governor transfer function coefficient Governor transfer function coefficient Fuel system transfer function coefficient Fuel system transfer function coefficient Fuel system transfer function coefficient Fuel system feedback gain, Kf = 0 or 1 Operation Technology, Inc. 19-100 Unit % p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. ETAP PowerStation 4.0 Dynamic Models Governor-Turbine GE Gas Turbine (GTH) Parameter Tf Tcr Tcd Ttd T Tt Tr t1 t2 Definition Fuel system time constant Combustion reaction time delay Compressor discharge volume time constant Turbine & exhaust system transportation delay Transportation delay Temperature controller integration rate Turbine rated exhaust temperature Tr - 700 (1 - WF) + 550 (1 -N) in English units Tr - 390 (1 - WF) + 306 (1 -N) in Metric units 1.3 (WF - 0.23) + 0.5 (1 -N) Operation Technology, Inc. 19-101 Unit Sec. Sec. Sec. Sec. Sec. Sec. Deg.F ETAP PowerStation 4.0 Dynamic Models Governor-Turbine GE Gas Turbine (GTS) 19.5.14 GE Simplified Heavy Duty Governor - Gas Turbine (GTS) This type of governor-turbine system represents the GE simplified single shaft gas turbine speed governing system. GE Simplified Heavy Duty Governor and Gas Turbine (GTS) Operation Technology, Inc. 19-102 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine GE Gas Turbine (GTS) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter Mode Droop Max Min X Y Z A B C D R S T Definition Droop or Isoch Steady-state speed droop Fuel upper limit Fuel lower limit Governor transfer function coefficient Governor transfer function coefficient Governor transfer function coefficient Fuel system transfer function coefficient Fuel system transfer function coefficient Fuel system transfer function coefficient Fuel system transfer function coefficient Fast load pickup operating zone limit Fast load pickup operating zone limit Fast load pickup operating zone limit Operation Technology, Inc. 19-103 Unit p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Solar Turbine MARS Governor Set (MARS) 19.5.15 Solar Turbine MARS Governor Set (MARS) This type of governor-turbine system represents the Solar Turbine MARS governor set for gas turbine and speed governing systems. Solar Turbine MARS Governor Set (MARS) Operation Technology, Inc. 19-104 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Solar Turbine MARS Governor Set (MARS) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Operation Technology, Inc. 19-105 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Solar Turbine MARS Governor Set (MARS) Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter Mode Droop MaxGov MinGov Max2 Min2 Max3 Min3 Maxo Mino Wover Tref Ks Kt Ko Ku Kl T1 T2 T3 T4 T5 T6 T7 T8 Th1 Th2 Definition Unit Speed droop Governor maximum at no load Governor minimum at no load Maximum mechanical power Minimum mechanical power % p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. Sec. Sec. Sec. Sec. Sec. Sec. Sec. Sec. Sec. Sec. Maximum gas producer Minimum gas producer Maximum overspeed control Minimum overspend control Over speed reference Temprature reference Speed control gain Temperature control gain Overspeed control gain Loader delta maximum fuel Loader delta minimum fuel Governor reset time Combustor time constant Gas producer time constant Controller delay time constant Speed Lead/Lag lead time constant Speed Lead/Lag lag time constant Thermocouple time constant Controller delay time constant Controller recursion time constant Controller recursion time constant Operation Technology, Inc. 19-106 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Detroit Diesel (DDEC) 19.5.16 Detroit Diesel DDEC Governor Turbine (DDEC) This type of governor-turbine system represents the Detroit Diesel turbine with DDEC controller and the Woodward DSLC unit system. Detroit Diesel DDEC Governor Turbine (DDEC) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Operation Technology, Inc. 19-107 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Detroit Diesel (DDEC) Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter Mode Droop PMmax PMmin K1 K2 R1 Ts T1 T2 T3 Definition Droop or Isoch Steady-state speed droop Maximum shaft power (rated MW) Minimum shaft power (>=0) PL control gain Lead/Lag controller gain PL control constant Load share system time constant PTO filter time constant Filter and Delay time constant Filter time constant Operation Technology, Inc. 19-108 Unit % MW MW p.u. p.u. p.u. Sec. Sec. Sec. Sec. ETAP PowerStation 4.0 Dynamic Models Governor-Turbine GHH BROSIG Steam Turbine Governor (GHH) 19.5.17 GHH BROSIG Steam Turbine Governor (GHH) This type of governor-turbine system represents the GHH BROSIG steam turbine governor system. GHH BROSIG Steam Turbine Governor System (GHH) Operation Technology, Inc. 19-109 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine GHH BROSIG Steam Turbine Governor (GHH) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter KP1 KP2 KP3 KP4 GL GM GH Tn1 Tn2 Tn3 Tn5 Tn6 TL TM TH HP MP Definition Generator load control gain Extraction 1 control gain Extraction 2 control gain Speed control gain Low pressure steam valve control gain Medium pressure steam valve control gain High pressure steam valve control gain Time constant of generator load control Time constant of extraction 1 control Time constant of extraction 2 control Time constant of medium pressure steam valve control Time constant of low pressure steam valve control Time constant of low pressure steam valve control loop Time constant of medium pressure steam valve control loop Time constant of high pressure steam valve control loop Extraction 1 pressure Extraction 2 pressure Operation Technology, Inc. 19-110 Unit Sec. Sec. Sec. Sec. Sec. Sec. Sec. Sec. bar bar ETAP PowerStation 4.0 Dynamic Models Governor-Turbine GHH BROSIG Steam Turbine Governor (GHH) Parameter VLmax VLmin VMmax VMmin VHmax VHmin PLmax PLmin PMmax PMmin PHmax PHmin Pa Pb Pc Pd Pe Pf LFa LFc LFd EX2f LFv1 LFv2 LFv3 LF1 LF2 LF3 KFM0 FM0 FM1 KFL0 FL0 FL1 m1 m2 m3 e1 e2 Esf1 Esf2 Initia2 Definition Maximum value of low pressure valve control signal Minimum value of low pressure valve control signal Maximum value of medium pressure valve control signal Minimum value of medium pressure valve control signal Maximum value of high pressure valve control signal Minimum value of high pressure valve control signal Maximum value of low pressure valve position Minimum value of low pressure valve position Maximum value of medium pressure valve position Minimum value of medium pressure valve position Maximum value of high pressure valve position Minimum value of high pressure valve position Power output value at point A of steam map Power output value at point B of steam map Power output value at point C of steam map Power output value at point D of steam map Power output value at point E of steam map Power output value at point F of steam map Maximum value of live steam flow Live steam flow value at point C of steam map Minimum value of live steam flow Extraction 2 steam value at point F of steam map Valve position value at point 1 of live steam flow characteristics Valve position value at point 2 of live steam flow characteristics Valve position value at point 3 of live steam flow characteristics Flow value at point 1 of live steam flow characteristics Flow value at point 2 of live steam flow characteristics Flow value at point 3 of live steam flow characteristics Exponential coefficient of medium pressure steam flow characteristics Minimum flow value of medium pressure steam flow characteristics Coefficient of medium pressure steam flow characteristics Exponential coefficient of low pressure steam flow characteristics Minimum flow value of low pressure steam flow characteristics Coefficient of low pressure steam flow characteristics Valve control parameter Valve control parameter Valve control parameter Valve control parameter Valve control parameter Initial extraction 1 steam flow Initial extraction2 steam flow Operation Technology, Inc. 19-111 Unit mm/Sec. mm/Sec. mm/Sec. mm/Sec. mm/Sec. mm/Sec. mm mm mm mm mm mm MW MW MW MW MW MW t/h t/h t/h t/h mm mm mm t/h t/h t/h 1/mm t/h t/h 1/mm t/h t/h t/h t/h ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Woodward Hydraulic (HYDR) 19.5.18 Woodward Hydraulic Governor-turbine (HYDR) This type of governor-turbine system represents the Woodward hydraulic governing systems. Woodward Hydraulic Governor-turbine (HYDR) Operation Technology, Inc. 19-112 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Woodward Hydraulic (HYDR) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter VO VC1 VC2 GMAX1 GMAX2 GMIN Q RP RT TP TG TR Zt Zp1 ft fp1 Tt Definition Gate opening speed Gate closing speed inside of the buffer zone Gate closing speed outside of the buffer zone Max gate position (RPM>RPM2) Max gate position.(RPM<RPM2) Min gate position Servo gain Permanent droop Temporary droop Pilot and servo motor time constant Main servo time constant Dashpot time constant Surge impedance of tunnel Surge impedance of penstock Head loss coefficient of tunnel Head loss coefficient of penstock Travel time constant of tunnel in Operation Technology, Inc. 19-113 Unit p.u. p.u. p.u. p.u. p.u p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Woodward Hydraulic (HYDR) Parameter Tp1 At1 QNL Q2 Wref Href GC Damp RPM1 RPM2 RPM3 GBUFF m B Definition Travel time constant of penstock Proportionality factor No load flow in first unit Flow rate in second unit Speed reference Head reference Gate conversion factor Damping coefficient Gate limit speed set point 1 Gate limit speed set point 2 Gate limit speed set point 3 Buffer zone gate limit Partial shutdown gate position coefficient Partial shutdown gate position coefficient Operation Technology, Inc. 19-114 Unit p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. ETAP PowerStation 4.0 Dynamic Models Governor-Turbine IEEE Gas-Turbine (SGT) 19.5.19 IEEE Gas-Turbine (SGT) This type of governor-turbine system represents the IEEE gas-turbine governing systems. IEEE Gas-Turbine (SGT) Operation Technology, Inc. 19-115 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine IEEE Gas-Turbine (SGT) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter Pref Pmax Pmin K1 K2 K3 T1 T2 T3 T4 T5 T6 TR Definition Load reference Maximum power limit Minimum power limit Gain 1 Gain 2 Gain 3 Governor time constant 1 Governor time constant 2 Governor time constant 3 Turbine time constant 1 Turbine time constant 2 Turbine time constant 3 Load setting time constant Operation Technology, Inc. Unit p.u. p.u. p.u. p.u. p.u p.u. Sec. Sec Sec. Sec. Sec. Sec. Sec. 19-116 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine PowerLogic Model A (PL-A) 19.5.20 PowerLogic Governor-turbine Model A (PL-A) This type of governor-turbine system represents the Siemens Westinghouse PowerLogic model A governing systems. PowerLogic Turbine/Governor Model A (PL-A) Operation Technology, Inc. 19-117 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine PowerLogic Model A (PL-A) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter Model Plimit TP TL TQ TLD TLG TA TC TD TV TPL TPG TC1 TC2 TX1 TX2 TX3 Definition Liquid fuel or Gas fuel Turbine base load Load transducer time constant Filter time constant in sec Speed transducer time constant Lead time constant Leg time constant Speed/load controller time constant Speed/load controller time constant Current to pneumatic pressure transmitter time constant Valve servo time constant Liquid piping time constant Gas piping time constant Combustion time constant Combustion time constant Temperature controller time constant Temperature controller time constant Temperature controller time constant Operation Technology, Inc. 19-118 Unit p.u. Sec. Sec. Sec. Sec. Sec. Sec. Sec. Sec. Sec. Sec. Sec. Sec. Sec. Sec. Sec. Sec. ETAP PowerStation 4.0 Dynamic Models Governor-Turbine PowerLogic Model A (PL-A) Parameter TX4 TX5 KL KI KA KC KT DL JRL1 JRL2 TFLD Tref GovBase Definition Temperature controller time constant Temperature controller time constant Speed droop Speed/load controller gain Temperature controller gain Temperature controller gain Temperature controller gain Decel limiter Jump rate limiter1 Instantaneous jump rate limiter1 Loading time from no-load to full load Temperature reference Governor base Operation Technology, Inc. 19-119 Unit Sec. Sec. p.u. p.u. V/F V/V V/BTU/Sec p.u. %/Sec %/Sec min p.u./100 MW ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Solar Taurus 60 Solonox Gas Fuel (ST60) 19.5.21 Solar Taurus 60 Solonox Gas Fuel Turbine-Governor (ST60) This type of governor-turbine system represents the Solar Taurus 60 Solonox Gas Fuel systems Solar Taurus 60 Solonox Gas Fuel Governor-Turbine system Operation Technology, Inc. 19-120 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Solar Taurus 60 Solonox Gas Fuel (ST60) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter Mode T1 T2 T3 T4 T5 T6 T7 T8 Th1 Th2 KS KT Kmax Kmin Definition Unit Controller delay time constant Speed compensator lead time constant Speed compensator lag time constant Governor reset time constant Combustor time constant Controller delay time constant Thermocouple time constant Gas producer time constant Controller recursion time constant Controller recursion time constant Speed control gain Temperature control gain Loader delta maximum fuel gain Loader delta minimum fuel gain Sec. Sec. Sec. Sec. Sec. Sec. Sec. Sec. Sec. Sec. p.u. p.u. p.u. p.u. Operation Technology, Inc. 19-121 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Solar Taurus 60 Solonox Gas Fuel (ST60) Parameter MinGOV Pmax Pmin Gmax1 Gmin1 Gmax2 Definition Governor minimum at no load Maximum mechanical power Minimum mechanical power Maximum gas producer Minimum gas producer Maximum fuel Unit p.u. p.u. p.u. p.u. p.u. p.u. Gmin2 Psolo R Tref Minimum fuel Solonox control threshold Speed droop Temperature reference p.u. p.u. p.u. p.u. Operation Technology, Inc. 19-122 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Solar Taurus 60 Solonox Gas Fuel (ST70) 19.5.22 Solar Taurus 70 Solonox Gas Fuel Turbine-Governor (ST70) This type of governor-turbine system represents the Solar Taurus 70 Solonox Gas Fuel systems Solar Taurus 70 Solonox Gas Fuel Governor-Turbine system Operation Technology, Inc. 19-123 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Solar Taurus 60 Solonox Gas Fuel (ST70) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Operation Technology, Inc. 19-124 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Solar Taurus 60 Solonox Gas Fuel (ST70) Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter Mode T1 T2 T3 T4 T5 T6 T7 T8 Gp Th1 Th2 KS KT Pmax Pmin Gmax1 Gmin1 R Tref Definition Unit Controller delay time constant Speed compensator lead time constant Speed compensator lag time constant Governor reset time constant Combustor time constant Controller delay time constant Thermocouple time constant Gas producer time constant Gas producer constant Controller recursion time constant Controller recursion time constant Speed control gain Temperature control gain Maximum mechanical power Minimum mechanical power Maximum gas producer Minimum gas producer Speed droop Temperature reference Sec. Sec. Sec. Sec. Sec. Sec. Sec. Sec. Sec. Sec. Sec. p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. Operation Technology, Inc. 19-125 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Gas-Turbine (GT-2) 19.5.23 Gas-Turbine and Governor (GT-2) This type of governor-turbine system represents gas turbine with windup limits. Gas-Turbine and Governor system (GT-2) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Operation Technology, Inc. 19-126 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Gas-Turbine (GT-2) Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter Pref Plimt Vmax Vmin Base R TR T1 T2 T3 KT Definition Load reference Ambient temperature load limit Maximum fuel valve opening Minimum fuel valve opening Governor base Speed droop Load sensing time constant Governor time constant Combustion-chamber time constant Turbine thermal time constant Load limit thermal sensitivity gain Operation Technology, Inc. 19-127 Unit p.u. p.u. p.u. p.u. MW p.u. sec sec sec sec p.u. ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Gas-Turbine (GT3) 19.5.24 Gas-Turbine and Governor (GT3) This type of governor-turbine system represents gas turbine with non-windup limits. Gas-Turbine and Governor-Turbine system (GT3) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Operation Technology, Inc. 19-128 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Gas-Turbine (GT3) Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter Pref Plimt Vmax Vmin Base R TR T1 T2 T3 KT Description Load reference Ambient temperature load limit Maximum fuel valve opening Minimum fuel valve opening Governor base Speed droop Load sensing time constant Governor time constant Combustion-chamber time constant Turbine thermal time constant Load limit thermal sensitivity gain Operation Technology, Inc. 19-129 Unit p.u. p.u. p.u. p.u. MW p.u. sec sec sec sec p.u. ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Combustion Turbine (CT251) 19.5.25 Combustion Turbine-Governor (CT251) This type of governor-turbine system represents a combustion turbine-governor. Combustion Turbine and Governor system (CT251) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Operation Technology, Inc. 19-130 ETAP PowerStation 4.0 Dynamic Models Governor-Turbine Combustion Turbine (CT251) Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter R TR T1 TV TE K1 K2 KP Definition Speed droop Load sensing time constant PID Integral time constant Throttle valve time constant Piping combustion time constant PID input scaling factor PID output scaling factor PID proportional gain Operation Technology, Inc. 19-131 Unit p.u. sec sec sec sec sec p.u. p.u. ETAP PowerStation 4.0 Dynamic Models Governor-Turbine User – Definded Dynamic Model (UDM) 19.5.26 User-Defined Dynamic Model (UDM) From the governor type list, user can access UDM models that have been created and save. Details on how to use UDM model are described in User-define Dynamic Models chapter. Operation Technology, Inc. 19-132 ETAP PowerStation 4.0 Dynamic Models Power System Stabilizer (PSS) 19.6 Power System Stabilizer (PSS) Power system stabilizer (PSS) is an auxiliary device installed on synchronous generator and tuned to help with system stability. PowerStation provides two standard IEEE type models: • • IEEE Type 1 PSS (PSS1A) IEEE Type 2 PSS (PSS2A) Reference for these two types of PSS is from: • IEEE Std. 412.5-1992, “IEEE Recommended Practice for Excitation System Models for Power System Stability Studies”, IEEE Power Engineering Society, 1992 Operation Technology, Inc. 19-133 ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (PSS1A) 19.6.1 IEEE Type 1 PSS (PSS1A) IEEE Type 1 PSS (PSS1A) Operation Technology, Inc. 19-134 ETAP PowerStation 4.0 Dynamic Models Excitation System IEEE Type (PSS1A) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter VSI KS VSTmax VSTmin Vtmin TDR A1 A2 T1 T2 T3 T4 T5 T6 Definition PSS input (speed, power or frequency deviation) in pu PSS gain Maximum PSS output Minimum PSS output Terminal undervoltage comparison level Reset time delay for discontinuous controller PSS signal conditioning frequency filter constant PSS signal conditioning frequency filter constant PSS lead compensation time constant PSS leg compensation time constant PSS lead compensation time constant PSS leg compensation time constant PSS washout time constant PSS washout time constant Operation Technology, Inc. 19-135 Unit p.u. p.u. p.u. p.u. p.u. sec p.u. p.u. sec sec sec sec sec sec ETAP PowerStation 4.0 Dynamic Models Governor-Turbine IEEE Type 2 PSS (PSS2A) 19.6.2 IEEE Type 2 PSS (PSS2A) IEEE Type 2 PSS (PSS2A) Operation Technology, Inc. 19-136 ETAP PowerStation 4.0 Dynamic Models Power System Stabilizer IEEE Type 2 PSS (PSS2A)) Parameters and Sample Data Parameters for this model and their sample data are shown in the following screen capture: Operation Technology, Inc. 19-137 ETAP PowerStation 4.0 Dynamic Models Power System Stabilizer IEEE Type 2 PSS (PSS2A)) Parameter Definitions and Units Parameter definitions and their units are given in the following table: Parameter VSI1 VSI2 KS1 KS2 KS3 VSTmax VSTmin VTmin TDR Tw1 Tw2 Tw3 Tw4 N M T1 T2 T3 T4 T5 T6 T7 T8 Definition PSS first input (speed, power or frequency deviation) PSS second input (speed, power or frequency deviation) PSS gain PSS gain PSS gain Maximum PSS output Minimum PSS output Terminal undervoltage comparison level Reset time delay for discontinuous controller PSS washout time constant PSS washout time constant PSS washout time constant PSS washout time constant Integer filter constant Integer filter constant PSS lead compensation time constant PSS leg compensation time constant PSS lead compensation time constant PSS leg compensation time constant PSS transducer time constant PSS transducer time constant PSS filter time constant PSS filter time constant Operation Technology, Inc. 19-138 Unit p.u. p.u. p.u. p.u. p.u. p.u. p.u. p.u. sec sec sec sec sec sec sec sec sec sec sec sec sec ETAP PowerStation 4.0 Dynamic Models Mechanical Load 19.7 Mechanical Load For accelerating motors in motor starting studies and dynamically modeled motors in transient stability studies, the connecting mechanical loads should be modeled for the calculation to determine the motor’s acceleration and deceleration characteristics. Mechanical loads are modeled based on load torque curves as shown in the following screen capture: A load curve is expressed by a third order generic polynomial equation: T=A0+A1 ω+Α2 ω2+Α3 ω3 where T = Load torque in percent of the rated torque of the driving motor = Per unit speed of the load ( = ωm/ωs) A0, A1, A2, A3 = Coefficients ω PowerStation provides a number of the most common load models for you to choose from. New load torque curves can be added to the PowerStation Motor Load Library and are then accessible from the Start Dev pages in the Induction Machine and Synchronous Motor Editors. Operation Technology, Inc. 19-139 ETAP PowerStation 4.0