An introduction to EMTP-RV August 2012 The simulation of power systems has never been so easy! Power system simulation tools Short circuit calculation : CYME 5.0 (CYMFAULT), ETAP Calculations based on sequence data Suitable for high scale networks Frequency range : 50/60 Hz DC Load-flow calculation : CYME 5.0 (CYMFLOW), ETAP, PSLF, … Calculation on 3-phase networks Mainly on balanced networks Frequency range : 50/60 Hz 50/60 Hz Transient Stability programs : Eurostag, PSS/E, DigSilent Suitable for high scale networks Simplified modeling of HVDC and FACTS components Frequency range : 0.1Hz – 1kHz kHz, MHz EMTP type programs : EMTP-RV, ATP, PSCAD, SimPowerSystems Not suitable for high scale networks Detailed modeling of equipments Frequency range : 0.1 Hz – MHz All software can handle transient study related to electromechanical time constants but EMTP-RV can handle electromagnetics time constant which are significantly smaller (faster transients). EMTP-RV, the Restructured Version • Written from scratch using mostly Fortran-95 in Microsoft Visual Studio environment. • Include all the EMTP96 functionalities and much more: – 3-phase unbalanced load-flow – Scriptable user interface – New models : machines, nonlinear elements… – No topological restrictions • New numerical analysis methods : – Newton-raphson solution method for nonlinear models – New three-phase load-flow – Simultaneous switching options for power electronics applications – Open architecture coding that allows users customization (ex : connection with user defined DLL) EMTP-RV benefits: • Robust simulation engine • Easy-to-use, drag and drop interface • Unmatched ease of use • Superior modeling flexibility • Customizable to your needs • Competitive pricing Customizable to your needs • Superior modeling flexibility – Can’t find exactly what you’re looking for in the device library? Simply add your own user-defined device. – Scripting techniques provide the ability to externally program device data forms and generate the required Netlists. A symbol editor is used to modify and customize device drawings. Scripting techniques are also used for parametric studies. – EMTPWorks also lets the user define any number of subcircuits to create hierarchical designs.a The software package EMTP-RV Package includes: • EMTP-RV : computational engine • With EMTP-RV, complex problems become simple to work out. A powerful and super-fast computational engine that provides significantly improved solution methods for nonlinear models, control systems, and user-defined models. The engine features a plug-in model interface, allowing users to add their own models. • EMTPWorks : Graphical User Interface EMTPWorks, the user-friendly and intuitive Graphical User Interface, provides top-level access to EMTP-RV simulation methods and models. EMTPWorks sends design data into EMTP-RV, starts EMTP-RV and retrieves simulation results. An advanced, yet easy-to-use graphical user interface that maximizes the capabilities of the underlying EMTPRV engine. EMTPWorks offers drag-and-drop convenience that lets users quickly design, modify and simulate electric power systems. A drawing canvas and the ability to externally program device data allows users to fully customize simulations to their needs. EMTPWorks can be used for small systems or very large-scale systems. • ScopeView: the Output Processor for Data display and analysis ScopeView displays simulation waveforms in a variety of formats. With EMTPWorks, users can dramatically reduce the time required to setup a study in EMTP-RV. Key features • EMTP-RV Key features - The reference in transients simulation - Solution for large networks - Provide detailed modeling of the network component including control, linear and non-linear elements - Open architecture coding that allows users customization and implementation of sophisticated model - New steady-state solution with harmonics - New three-phase load-flow - Automatic initialization from steady-state solution - New capability for solving detailed semiconductor models - Simultaneous switching options for power electronics applications The GUI key features EMTPWorks Key features • Object-oriented design fully compatible with Microsoft Windows • Powerful and intuitive interface for creating sophisticated Electrical networks • Drag and drop device selection approach with simple connectivity methods • Both devices and signals are objects with attributes. A drawing canvas is given the ability to create objects and customized attributes • Single-phase/three-phase or mixed diagrams are supported • Advanced features for creating and maintaining very large to extremely large networks • Large number of subnetwork creation options including automatic subnetwork creation and pin positioning. Unlimited subnetwork nesting level • Options for creating advanced subnetwork masks • Multipage design methods • Library maintenance and device updating methods EMTPWorks: EMTP-RV user interface EMTPWorks: EMTP-RV user interface Object-oriented design fully compatible with Microsoft Windows Single-phase/three-phase or mixed diagrams are supported Large collection of scripts for modifying and/or updating almost anything appearing on the GUI 5 PLOT x 10 Substation_A/m1a@vn@1 4 Substation_A/m1b@vn@1 Substation_A/m1c@vn@1 3 2 y 1 0 -1 -2 -3 -4 6 6.01 6.02 6.03 6.04 6.05 time (s) 6.06 6.07 6.08 6.09 6.1 ScopeView ScopeView is a data acquisition and signal processing software adapted very well for visualisation and analysis of EMTP-RV results. It may be used to simultaneously load, view and process data from applications such as EMTP-RV, MATLAB and Comtrade format files. Multi-source data importation Cursor region information ScopeView Function editor of ScopeView Typical mathematical post-processing A versatile program EMTP-RV is suited to a wide variety of power system studies, whether they relate to project design and engineering, or to solving problems and unexplained failures. EMTP-RV offers a wide variety of modeling capabilities encompassing electromagnetic and electromechanical oscillations ranging in duration from microseconds to seconds. A powerful power system simulation software EMTP-RV’s benefits are: Unmatched ease of use Superior modeling flexibility Customizable to your needs Dynamic development road-map Prompt and effective technical support Reactive sales teams A powerful power system simulation software EMTP-RV’s strengths: EMTP-RV version 2.4 new features: • New and advanced HVDC models, including MMC-HVDC • New wind generator models, including average-value model • New control system diagram DLL capability • New Simulink/Real-time Workshop interface DLL EMTP-RV version 2.4 improvements: Workshop interface DLL Improvements in synchronous machine model including a new black start option Improvements in the asynchronous machine model Capability to solve multiple frequency load-flow Improved documentation and various other improvements New application examples Power system studies EMTP-RV is suited to a wide variety of power system studies including and not limited to: • Power system design • Complete network analysis • Power system stability & load modeling • Ferroresonance • Control system design • Steady-sate analysis of unbalanced system • Motor starting • Distribution networks and distributed generation • Power electronics and FACTS • Power system dynamic and load modeling • HVDC networks • Subsynchronous resonance and shaft stresses • Lighting surges • Power system protection issues • Switching surges • General control system design • Temporary overvoltages • Power quality issues • Insulation coordination • Capacitor bank switching • And much more! A versatile program Complete system studies: • • • • • • • Load-flow solution and initialization of synchronous machines Temporary overvoltages to network islanding Ferroresonance and harmonic resonance Selection and usage of arresters Fault transients Statistical analysis of overvoltages Electromechanical transients Applications • Power system design • Power systems protection issues • Network analysis: network separation, power quality, geomagnetic storms, interaction between compensation and control components, wind generation • Detailed simulation and analysis of large scale (unlimited size) electrical systems • Simulation and analysis of power system transients: lightning, switching, temporary conditions • General purpose circuit analysis: wideband, from load-flow to steadystate to time-domain (Steady-state analysis of unbalanced systems) • Synchronous machines: SSR, auto-excitation, control • Transmission line systems: insulation coordination, switching, design, wideband line and cable models Applications • Power Electronics and FACTS (HVDC, SVC, VSC, TCSC, etc.) • Multiterminal HVDC systems • Series compensation: MOV energy absorption, short-circuit conditions, network interaction • Transmission line systems: insulation coordination, switching, design, wideband line and cable models • Switchgear: TRV, shunt compensation, current chopping, delayedcurrent zero conditions, arc interaction • Protection: power oscillations, saturation problems, surge arrester influences • Temporary overvoltages • Capacitor bank switching • Series and shunt resonances • Detailed transient stability analysis • Unbalanced distribution networks Simulation options Load-flow Steady-state Time-domain Frequency scan Simulation options • Load-Flow solution – The electrical network equations are solved using complex phasors. – The active (source) devices are only the Load-Flow devices (LF-devices). A load device is used to enter PQ load constraint equations. – Only single (fundamental) frequency solutions are achievable in this version. The solution frequency is specified by ‘Default Power Frequency’ and used in passive network lumped model calculations. – The same network used for transient simulations can be used in loadflow analysis. The EMTP Load-Flow solution can work with multiphase and unbalanced networks. – The control system devices are disconnected and not solved. – This simulation option stops and creates a solution file (Load-Flow solution data file). The solution file can be loaded for automatically initializing anyone of the following solution methods. Simulation options • Steady-state solution – The electrical network equations are solved using complex numbers. This option can be used in the stand-alone mode or for initializing the timedomain solution. – A harmonic steady-state solution can be achieved. – The control system devices are disconnected and not solved. – Some nonlinear devices are linearized or disconnected. All devices have a specific steady-state model. – The steady-state solution is performed if at least one power source device has a start time (activation time) lower than 0. Simulation options • Time-domain solution – The electrical network and control system equations are solved using a numerical integration technique. – All nonlinear devices are solved simultaneously with network equations. A Newton method is used when nonlinear devices exist. – The solution can optionally start from the steady-state solution for initializing the network variables and achieving quick steady-state conditions in time-domain waveforms. – The steady-state conditions provide the solution for the time-point t=0. The user can also optionally manually initialize state-variables. Simulation options • Frequency scan solution – This option is separate from the two previous options. All source frequencies are varied using the given frequency range and the network steady-state solution is found at each frequency. Build-in libraries and Standard models available in EMTP-RV Built-in librairies EQUIPMENT FEATURES advanced.clf Provides a set of advanced power electronic devices Pseudo Devices.clf Provides special devices, such as page connectors. The port devices are normally created using the menu “Option>Subcircuit>New Port Connector”, they are available in this library for advanced users. RLC branches.clf Provides a set of RLC type power devices. . Work.clf This is an empty library accessible to users control.clf The list of primitive control devices. control devices of TACS.clf This control library is provided for transition from EMTP-V3. It imitates EMTP-V3 TACS functions. control functions.clf Various control system functions. control of machies.clf Exciter devices for power system machines. flip flops.clf A set of flip-flop functions for control systems. hvdc.clf Collection of dc bridge control functions. Documentation is available in the subcircuit. lines.clf Transmission lines and cables. machines.clf Rotating machines. meters.clf Various measurement functions, including sensors for interfacing control device signals with power device signals. meters periodic.clf Meters for periodic functions. nonlinear.clf Various nonlinear electrical devices. options.clf EMTP Simulation options, plot functions and other data management functions. phasors.clf Control functions for manipulating phasors. sources.clf Power sources. switches.clf Switching devices. symbols.clf These are only useful drawing symbols, no pins. transformations.clf Mathematical transformations used in control systems. transformers.clf Power system transformers. Standard models Library RLC branches Control Control of Machines Flip flops Lines Models R, L, C branches PI circuits Loads State space block Gain, constant Integral, derivative Limiter, Sum Selector Delay State-space block PLL… IEEE excitation systems Governor / turbine Flip-flop D, J-K, S-R,T CP (distributed parameters) FD (=CP + frequency dependence) FDQ (=FD for cables) WB (phase domain) Corona Standard models Library Machines Meters Meters periodic Nonlinear Sources 3 08/04/2015 Models Induction Machine (single cage, double cage, wound rotor) Synchronous Machine Permanent Magnet Synchronous Machine DC machine 2-phase machine Current, voltage, power meters RMS meters and sequence meters Non linear resistance Non linear inductance Hysteresis reactor ZnO arrester SiC arrester AC, DC voltage sources AC, DC current sources Lightning inpulse current source Current and voltage controlled sources Load-flow bus Standard models Library Switches Transformations Transformateurs Advanced Models Ideal switch Diode Thyristor Air gap 3-phase <-> sequence 3-phase <-> dq0 Based on single phase units : DD, YY, DY, YD, YYD… Topological models : TOPMAG Impedance based : BCTRAN, TRELEG Frequency dependent admittance matrix : FDBFIT Variable load SVC STATCOM Built-in librairy of examples Easily find what you’re looking for by browsing or using a simple index. Typical designs Modeling Electrical Systems with EMTP-RV A B C D E F G H I J K L Insulation Coordination of a 765 kV GIS 1 - Backflashover Case - Impulse Footing Resistance of the stricken Tower may be represented by Ri = f(I) - Usage of ZnO model based on IEEE SPD WG - Frequency-Dependant Line modeling 200 kA 3/100 us Lightning Stroke 2 I/O FILES MPLOT foudre_30km_ex2.lin foudre_300m_ex1.lin 2 LINE DATA LIGHTNING_STROKE Network LINE DATA model in: foudre_30km_ex2_rv.pun 765 kV Line Tower_top + VM ?v Air-Insulated Substation Gas-Insulated Substation model in: foudre_300m_ex1_rv.pun Air-Insulated Substation ?v + VM Trans_c ?v SOURCE_NETWORK BUS_NET 735kV /_0 a b + + + + + a b + + c 300 m bushing CB_a + ?v CB_b VM + ?v CB_c VM + + VM 300 m b + 3 ?v a ?v c + VM Trans_a + + + c + 30 km VM 1M + + cond_c VM + ?v + VM Trans_b Open Circuit-Breaker ?v/?v/?v + 3 1 Simulation options + 1M 1M + ?i ?i L10 C3 + ?i + + + 48 + + + L12 52 m + + + 48 m C2 + L11 + 4 4nF 52 + + + + C1 L3 ?i + + + To eliminate undesirable reflexions L2 ?i TOWER3 Part=TOWER_model1ohm L1 TOWER2 Part=TOWER_model15_f + TOWER1 Part=TOWER_model15_1 + + 25 m ?i 4 5 5 0.1nF Gas-filled CVT 588 kV Zno Bushing A B C D E F G H 4nF 4nF + 0.1nF 0.1nF Inductive VT I Gas-filled Bushing J Power 588 kV Zno Transformer K L A B C D E F G H 1 1 Field Recording (10-08-1986) Validation of the Secondary Arc M odel with IREQ Laboratory Tests EMTP-RV Simulation (05-22-2005) 2 2 R2 + ?i SW1 + 100ms /200ms /0 + 0.7,13Ohm 1.60uF C2 Secondary arc 300 RL1 + + + 3 1.05uF C3 + 0.2 AC1 + + 66.4k VRMS /_0 0.2 R3 DEV1 3 Sec _ARC_a R1 4 4 Primary Arc: 5 kA eff Secondary Arc: 40 A Wind Speed: 9.7 km/h Secondary Arc Duration: 1.04 sec. 315 kV insulator string, l=2.3 m 5 5 I/O FILES A B C D E F G H A B C D E F G H I J K L M N O P 1 1 Switching of A 420 kV Three-Phase Shunt-Reactor I/O FIL ES State of the art simulation introducing: - A realistic model of a three-phase shunt reactor taking into account the asymetrical couplings of the magnetic circuit; - A realistic circuit-breaker model based on the well-known Cassie - Mayr modified arc equations. 2 3 2 3 4 4 + + 0. 5 0. 5 1. 6nF + + + 1uH 1uH DEV1 a BUS24 DEV2 Sim plifie d Arc M ode l ba s e d on M a y r's & Ca s s ie s e qua tions in Sim plifie d Arc M ode l ba s e d on M a y r's & Ca s s ie s e qua tions out in out 5 0. 05nF a + CB_ARC_a + CB_ARC_a 0. 375nF BUS23 0. 75nF 1. 6nF + C8 + + R12 1. 6nF + Line + 0. 5 5 + 0. 5 1. 6nF + + 0. 75nF 350 + 1uH 1uH m1 + VM 3000 ?v 20 m Sim plifie d Arc M ode l ba s e d on M a y r's & Ca s s ie s e qua tions 0. 375nF + CB_ARC_a C9 1. 15nF + 0. 05nF + + b + 6 + + + b + 1uH 1uH 4nF + C11 DEV6 in + DEV5 Sim plifie d Arc M ode l ba s e d on M a y r's & Ca s s ie s e qua tions c Sim plifie d Arc M ode l ba s e d on M a y r's & Ca s s ie s e qua tions out in out 1. 15nF c CB_ARC_a + CB_ARC_a c 1. 6nF + 0. 75nF 0. 5 0. 5 1. 6nF + + Line CVT 200k C13 a 4nF + 200nF 405kVRM SLL / _- 30 + + AC1 + 6 0. 75nF out + CB_ARC_a in + out b DEV4 in 200k b c DEV3 Sim plifie d Arc M ode l ba s e d on M a y r's & Ca s s ie s e qua tions + 25uH 10 + + 30m H + 0. 8 + + + a 65 m + R10 0. 05nF C10 7 7 Network Substation 420 kV Busbar CT Double-break 420 kV SF6 C.-B. 420 kV Busbar CVT Three-phase 420 kV Shunt-Reactor 8 8 Three-Phase 420 kV 100 MVARS Shunt Reactor F= 0.548 Wb, N=1409 turns, L1=5.617 H For mu (50 Hz) = 0.06 H/m: Xac=Xca= 9 Ohms Xba=Xbc=7 Ohms Xab=14 Ohms Xaa= 1741 Ohms Xbb= 1750 Ohms Xcc=1741 Ohms 9 g = 12 mm 2900 mm x x= 710 mm 1 0 9 For mu (700 Hz) = 0.01 H/m: 2x 1 0 Xac=Xca= 54 Ohms Xba=Xbc=42 Ohms Xab=84 Ohms Xaa= 1741 Ohms Xbb= 1750 Ohms Xcc=1741 Ohms A B C D E F G H I J K L M N O P 40 M W Out AVR_Gov _5 av r_gov ernor_pu Out AVR&Gov (pu) IN AVR&Gov (pu) IN CP M W,M X,PF + CP + Out SM ?m 2 + AVR&Gov (pu) 1 3 .8 k V 2 0 0 M VA + 1 Va ,Vb ,Vc 3 80 SM ?i Np, Nq Kp, Kq 80 IN R3 ?m Ou t 1 DEV4 SM 9 1 3 .8 /2 3 0 AVR_ Go v _ 9 5 /5 .1 /0 5 /5 .1 /0 1 E1 5 /1 e 1 5 /0 2 60 Hz only BUS1 290 + 240 M W 8250 M W 1 4 4 .8 Z Dist 1 Kp, Kq 60 9000 M W 230k V 1 2 0 0 0 M VA + + SM 1 0 + 0.13 2.2Ohm s c ope P_ Va r_ s p e e d 3 Yg Yg _ n p 5 1 2 + 9 6 .5 Np, Nq CP 1 E1 5 /1 E1 5 /0 1 E1 5 /1 E1 5 /0 1 E1 5 /1 E1 5 /0 Z Dist M W,M X,PF 45 M W BUS5 M W,M X,PF 2 3 0 /2 6 .4 C1 2 2 DEV1 CP2 0 .2 5 u F Q P p7 AVR&Gov (pu) ?m ?m 1 2 2 1 + C8 Q_ Va r_ s p e e d s c ope IN SM SM ?m 60 Hz only 60 Hz only 0 .2 5 u F 0 .1 ,0 .5 Oh m 69/0.69 132 M W DEV3 + v AVR_ Go v _ 1 0 Va ,Vb ,Vc BUS7 2 3 0 /7 1 Sq Ca g e _ 4 162 M W + CP2 3 x 1M W Doubly-fed with PWM controller (Variable speed) 1 3 .8 k V 2 0 0 M VA BUS9 p6 1 6 9 /3 .3 Large Gen.-Load Center SM 5 1 2 2 ASM S 2 0 .2 ,1 Oh m 6 9 /3 .3 M Z Dist + + Q ? ASM S 1 3 .8 /2 3 0 Yg Yg _ n p 4 P RL 1 + 77 M W WIND IM GENERATION (Constant speed) SM 6 Va,Vb,Vc R4 + 0 .0 4 ,0 .2 Oh m 1 1 3 .8 /2 3 0 Qt_ Wi n d Ge n s c ope 50 2 L Np, Nq Kp, Kq 1 3 .8 /2 3 0 1 6 9 /3 .3 1 3 .8 k V 5 5 0 M VA VM + 2 K ? v /? v /? v 0 .1 ,0 .5 Oh m Pt_ wi n d Ge n s c ope 2 ASM S J CP2 + + 520 M W SM 7 m _ 6 9 k V_ wi n d 1 6 9 /3 .3 1 3 .8 k V 5 0 M VA 1 2 ASM S I 1 P p4 Q Sq Ca g e _ 1 4 x (10 X 2 MW) induc. machine pf 0.85 Q_ Sta t_ 3 0 s c ope H AVR_Gov _6 +/- 30 MVARS STATCOM 1 G SM F Out E DEV6 AVR_Gov _7 D AVR&Gov (pu) C IN B + -1/1E15/0 A 50 + CP + 1 v R5 + 1 Z Dist Va ,Vb ,Vc m _ Su b s _ B_ 2 3 0 k V + VM CP2 + 3 2 2 3 5 5 0 0 /2 3 0 /5 0 1 1 3 .8 /2 3 0 1 5 0 0 /2 3 0 /5 0 ?m SM 8 2 x 240 M W 76 M W SM 1 1 p2 Q P 2 3 0 /2 6 .4 0 .0 1 3 0 .2 2 Oh m ? 2 1 + 3 5 0 0 /2 3 0 /5 0 + 1 R1 ?i 1600 M W 240 M X 7 P P_ L o a d s c ope Q_ L o a d s c ope Q + 2000uF p3 pF=88% + + + 0 .0 5 u F 6 96uF +/- 400 M vars STATCOM in Substation B + 0 .3 u F 200 M W P_ Ex c h + 1 220 km Se r_ C_ 2 SM 4 s c ope 96uF Ou t2 + ?m 40% Q_ Ex c h s c ope + 1 E1 5 /1 E1 5 /0 1 E1 5 /1 E1 5 /0 1 E1 5 /1 E1 5 /0 3 SM IN AVR&Gov (pu) ?v 15uF 2 140 km + 3 Ou t1 In 2 + AVR_ Go v _ 4 VM Su b s ta ti o n _ C Su b s ta ti o n _ B Ou t2 140 km 2 SM 3 In 1 Ou t1 Su b s ta ti o n _ A In 2 ?m Ou t + 1 + Se r_ C_ 1 In 1 SM 2 SM IN AVR&Gov (pu) 7 + 3 SM IN AVR&Gov (pu) Ou t m _Load_230k V 5 0 0 /2 3 0 /5 0 2 220 km -1 /1 E1 5 /0 ?m AVR_ Go v _ 2 AVR_ Go v _ 3 40% + Ou t 280 km 1 + 2 + 5 0 0 /1 3 .8 /1 3 .8 + ?m SM P p1 s c ope Qt Q Ou t IN AVR&Gov (pu) s c ope Pt 1 3 .8 k V 4 0 0 M VA 6 110 48uF + AVR_ Go v _ 8 AVR_ Go v _ 1 L +/- 150 M X SVC 2 SM 1300 M W C 60 Hz only 48uF 1 Ou t Np, Nq Kp, Kq 900 M W ? v /? v /? v 1 3 .8 k V 1 2 5 M VA AVR&Gov (pu) IN Z Dist DEV5 M W,M X,PF Kp, Kq Np, Nq Va,Vb,Vc SW6 + -1/1E15/0 60 Hz only DEV2 5 4 M W,M X,PF CP 6 9 /2 2 5 SVC_1 2 180 M W 193.1 ?i 4 2 5 .5 /1 2 ASM + Va ,Vb ,Vc Va ,Vb ,Vc Np, Nq Kp, Kq M W,M X,PF 60 Hz only Va ,Vb ,Vc Np, Nq Kp, Kq S 6 .6 k V 7 7 0 .M VA ?m 3700uF ASM + M W,M X,PF 2 2 12k V 3 8 5 .M VA S Si m u l a ti o n o p ti o n s 1 4 1 0 .u F M W,M X,PF 2 5 .5 /6 .6 60 Hz only Np, Nq Kp, Kq 2 .2 6 3 + I/O FIL ES 1 8 1 8 60 Hz only ?m Fl u o _ l i g h t 9 L a rg e _ i n d 15% Sm a l l _ i n d 30% 20% In c a n _ l i g h t 10% Co l o r_ Tv 5% 9 R2 20% 1560 M W Res.-Com.-Ind. Load A B C D E F G H I J K L M A B C D E - Windmill Power Generation In a weak Power System 1 12 x 2 M VA Doubly-fed with PWM controller (Variable Speed) 2 Realistic Realistic Realistic Realistic Dynamic F Wind Data; DFIG Modeling; Network & Load Models Harmonic Distorsions & Performances 20 MW 1 2 WIND2 P_Gr2 v scope Q_Gr_2 scope Delay !h P 11 MW Np,Nq Kp,Kq 69/0.69 2 LL-g 6 cycles fault Va,Vb,Vc VLOADg1 SW1 + MW,MX,PF P p1 + p2 + 40nF 5nF Q P DFIG_1 5nF m1 1 Y gD_2 69/13.8 Weak Local 69 kV Network (150 MVA) + + + 40nF 1uF scope Y gD_3 1 + Q + VM 2 C4 C3 MPLOT ?v 1 Y gD_1 69/6.6 4 ?m 2 8 MW SM 6.5 MW SM1 ASM1 S in + Va,Vb,Vc ASM out MW,MX,PF AVR_SM1 170uF ?m 5 0.1 1Ohm 13.8kV 10MVA AVR 6.6kV 5000hp VLOAD2 Np,Nq Kp,Kq 5 50/60 Hz Small Industrial load I/O FILES A 3 v scope P_Gr1 69/0.69 + 30 + + Q_Gr1 32Ohm 69kV /_0 4 WIND1 ?i 100 0.4k 8 MW Y gD_4 1 5/5.1/0 5/5.1/0 1E15/1E15/0 + + + + 1 P_netw scope Q_netw scope 5 x 2 M VA Doubly-fed with PWM controller (Variable Speed) p3 DFIG_2 Z Dist 4 Q + 3 50/60 Hz 2 15 MW B C D E F A B C D E F G H Insulation Coordination of a 150 kV GIS 1 1 + 0.1nF T25 + 0.1nF T15 BB1 + + CP + CP 1.1 + CP 1.1 + CP 1.1 + CP 1.1 CP 1.1 1.1 BB2 Q1 Q2 Q1 Q2 2 + CB + m6 +VM ?v + CP 2.3 + Q2 + Q1 + + + + + CP 1.1 + Q1 + Q2 2 + CP 1.1 + Q1 + CP 1.1 + + CP 1.1 + Q2 + Q1 + + Q2 + Q1 + CP 1.1 + + CP 1.1 + + CP CB 1.75 CP 1.75 1.75 + CP CB CB + + + 1.6 + + + 2nF CP + + CP 3000 m3 +VM ?v + CP 3850 CP 3850 + CP 30 17.4 + + + 10.6 CP ZnO + ?i ZnO + 280000 + ?i ZnO3 MCOV=112 kV TRANS2 2nF TRANS3 TRANS1 2nF 4 m5 +VM ?v GW 1.6 CP 1.6 CP CP 1.6 T5 MCOV=112 kV Tower 4 + T5 + 3uH + 11.1 CP ZnO2 m1 +VM ?v T1 0.1nF + m2 +VM ?v + 3uH DEV6 T1 3 L2 + T5 R2 T1 0.1nF + + L1 + 20 T1 + 1.6 CP T1 T1 + 0.1nF 1.6 T1 CP Backflashover at 300 m from the substation on the 4th connected 150 kV line 3 1.6 CP CP + + + + + CP CP 1.75 CB 1.75 CP 1.75 CP 1.75 Q2 CB CB CABLE1 CABLE3 CABLE2 GW 300 CP g1 + 170kVRMSLL /_180 ZnO1 AC1 L3 3uH R1 + 150 5 m4 +VM ?v + CP reference ZnO + 300 MCOV=112 kV m 1 . 1 2.9335cm m 1 . 1 m 1 . 1 5 2.6225cm ?i + 280000 R4 + 450 + + ?vi>S R3 + 450 1.254cm three 150 kV lines 0.25m 0.50m 6 A B C D E 6 F G H A B C D E F G H I J K L M N TRV STUDY AT A 345 kV SUBSTATION 1 1 P=-491.5MW Q=37.4MVAR Vsine_z:VwZ3 LF LF3 Phase:0 0.99/_-1.0 + UNIT 1 806.5 MVA + + + 0.00119 61 55' + s184 LV 0.02975Ohm HV 1.00/_3.5 CCPD 0.1nF + + + 25nF + 30 CCPD + R5-7 7.5nF R6-7 + + (3) 3 7.5nF 3 150' + + + + 33' + 33' 33' CB_2DISC CB_2DISC R1-5 1.00/_3.5 150' 150' (4) + Phase:0 110' + 25nF + 50nF 450' f=8.77 kHz 25nF 25nF R24 55' + + DEV3 + 0.02975Ohm 2 + 22.8 kV Delta 345/1.732 kV Yn 279171.940927 /_-5 279171.940927 /_-125 279171.940927 /_115 PQbus:LF3 0.1nF + 29.75 + + 0.02975Ohm LF LF6 P=676MW V=23.712kVRMSLL s184a Vsine_z:VwZ6 788 29.75 + + 0.02975Ohm VwZ6 2500 29.75 + VwZ3 900 150' 29.75 + R8 + FD + + 20136 /_-12 20136 /_-132 20136 /_108 PVbus:LF6 2 + View Steady -State R1-11 R6-11 4 4 + 33' + 33' 33' + 33' CB_2DISC + + 33' 33' CB_2DISC CB_2DISC 110' + + + 450' + C15 R6-12 113 5 + + 0.1nF + R2A-12 R2A-5 5 75' 2nF 150' 300' + + Start & Standby Xformers 90' + 75' + 0.1nF + + + 33' 33' + + 33' 33' 33' + 33' + + 450' 90' 6 + CCPD + 1 + 25nF + + 150' + + 7 + 33' CB_2DISC CB_2DISC ?v m1VM VM + 33' ?v m2 0.1uF 1.nF + 33' (1) 2.5nF + + 7 327.5/161/13.8 7.5nF 0.3nF R2G-5 R2G-6 1.03/_0.8 CP FD (2) 8 1.nF P=-204.9MW Q=-29MVAR Vsine_z:VwZ4 + + 1.nF + 8 17.85 25nF Inductiv e VT 0.1nF CP VM + + + + 25nF + 55' + + 2 HV 450' ?v m3 + 25nF + 300' LV 23.9 kV Delta 346.4/1.732 kV Yn 15.81 s155 0.0281Ohm + + 0.0281Ohm + + 0.0281Ohm 110' + 0.0281Ohm + 0.001124 + + + + + 19707 /_-12 19707 /_-132 19707 /_108 PVbus:LF2 345/161 kV Autotransformer 1.nF + + DEV19 VwZ2 R17 90' 0.1nF LF2 Phase:0 2500 55' C13 3 + 2nF 28.1 220' + LF 28.1 CB_2DISC + 28.1 CB_2DISC + 220' 28.1 + + UNIT 2 1110 MVA P=850MW V=23.712kVRMSLL s155a Vsine_z:VwZ2 6 + 110' CB_2DISC Start & Standby Xformers LF + 2 LF4 Phase:0 1.01/_0.3 1 0.99/_0.0 3 345/161/15 Slack: 343.27kVRMSLL/_0 Vsine_z:VwZ5 + R5 LF 450 + R6 345/161 kV Autotransformer 9 + VwZ5 1.3e+5 /_-12 1.3e+5 /_-132 1.3e+5 /_108 PQbus:LF4 2.8e+5 /_-7 2.8e+5 /_-127 2.8e+5 /_113 Slack:LF5 50nF + 30 VwZ4 0.1uF 30 2.5nF LF LF5 Phase:0 + R9 + 1020 + R10 + + 9 Three-Phase-to Ground Fault Location 27.39MW 11.01MVAR + 50nF 1 0 A B C D E F G H I J K L M N 1 0 A B C D E F G H I Wind 1 1 200 MW Wind Farm Integration Study DYg_10 2 1 0.69/34.5 + RL PI9 DEV2 Wind v DYg_7 2 1 2 2 PI8 Wind RL +/- 80 MVars SVC + 0.69/34.5 DYg_8 2 1 SVC_1 Unique top 50/60 Hz 0.69/34.5 Np,Nq Kp,Kq 3x 1x + 2 1 138 kV Network 3 Wind VLOAD1 PI7 Va,Vb,Vc RL 3 DYg_1 2 1 MW,MX,PF + SW1 + -1|1.1|0 3 138/34.5/13.8 ? Wind PI4 C2 4 DYg_2 2 1 + SW2 + 1.6|1.7|0 SW4 + 1.6|1.7|0 PI1 50.00 CP m1 +VM ?v 1 RL SW3 + -1|1.1|0 CP RL DEV1 v + Wind RL 0.69/34.5 PI2 + Wind DYg_4 1 2 RL SW5 + 1|1E15|0 1|1E15|0 1e15|1E15|0 PI10 4 + 50.00 + + 140kVRMSLL /_0 + RL1 + 0.69/34.5 2 AC1 DYg_3 2 1 0.69/34.5 DEV3 + PI3 Wind RL RL DYg_5 1 2 DYg_9 2 1 RL 0.69/34.5 PI5 + 0.69/34.5 Wind 5 0.69/34.5 PI6 Wind + v 5 6 6 DYg_6 1 2 0.69/34.5 A B C D E F G H I A B C D E F Ferroresonance Study 1 1 P scope + 3.4nF + i P Q p1 Tr0_2 + 0.721,54.06Ohm 303.12kV + RL2 + + + HV V1 1.15nF + Tr0 Y 66 303.11kVRMS /_0 2 1.227nF 132.79 + I + 0.054,2.68Ohm + Y I Hyst2 ?i + m2 ?v 0.1uF + VM + + AC1 LV 0.0001,0.0001Ohm + -1|50ms|5 RL1 m1 +A ?i + 0.5,10Ohm i jacobson_siemens_170mva_3.dat model in: jacobson_siemens_170mva_2.hys + 200 + 2 hfit1 Ydyn Q scope 5nF 4.025nF Tertiary ?vipf + V2 4.025nF Dynamic Resistance Controller Modeling Eddy losses scope V1 p2 v(t) + loss1 1 + - V2 scope scp3 sum1 3 Int1 Fm2 1 scope 3 scp10 Fm1 1 297.2 p3 v(t) Ydyn scp9 Gain1 Ftb1 ABS RECIP 110000 Modeled Hysteresis Characteristic at 1.0 &1.4 pu 4 4 Obtained HV Hysteresis Characteristic at 1.0 & 1.4pu (including Cap & Eddy losses) 5 5 6 6 Simulated Saturation Characteristic (Air reactance of 45.8%) Xm@1.0 pu = 300 kOhms Air reactance=44.3%@ 170 M VA Vm2 rms in pu of 303.11 kV 1.2 1.3 1.4 Im1 (rms) in pu of 170 MVA 0.021 0.180 0.406 7 7 A B C D E F A B C D E F G H I J K L M N O P 1 1 Switching of A 420 kV Three-Phase Shunt-Reactor I/O FILES State of the art simulation introducing: - A realistic model of a three-phase shunt reactor taking into account the asymetrical couplings of the magnetic circuit; - A realistic circuit-breaker model based on the well-known Cassie - Mayr modified arc equations; 2 3 2 3 4 4 + + 0 .5 0 .5 1 .6 n F + + + 1uH 1uH out + C8 + + + in Sim plified Ar c Model based on Mayr 's & Cassies equations out b + CB_ ARC_ a C9 1 .1 5 n F Line CVT + 0 .5 + + + 1uH 1uH 4nF Sim plified Ar c Model based on Mayr 's & Cassies equations c C1 1 DEV6 in Sim plified Ar c Model based on Mayr 's & Cassies equations out in 1 .1 5 n F out c CB_ ARC_ a + CB_ ARC_ a 6 + DEV5 + + + C1 3 0 .5 1 .6 n F a b c 4nF 4 0 5 k VRM SL L /_ -3 0 + + 1 .6 n F + 200nF + AC1 + 6 + + 0 .0 5 n F + out + CB_ ARC_ a in 0 .7 5 n F + b ?v 200k + 25uH 10 20 m DEV4 Sim plified Ar c Model based on Mayr 's & Cassies equations + 30m H m1 + VM + + + 0 .8 1uH DEV3 65 m + R1 0 + 5 + + + 1uH 3000 0 .7 5 n F + 0 .5 1 .6 n F b + Line 0 .5 c 1 .6 n F + R1 2 a 350 0 .3 7 5 n F 0 .0 5 n F a CB_ ARC_ a + CB_ ARC_ a 5 BUS2 4 in 0 .7 5 n F out + in Sim plified Ar c Model based on Mayr 's & Cassies equations 0 .3 7 5 n F a DEV2 Sim plified Ar c Model based on Mayr 's & Cassies equations 200k DEV1 BUS2 3 0 .7 5 n F 1 .6 n F + 0 .0 5 n F C1 0 7 7 Network Substation 420 kV Busbar CT Double-break 420 kV SF6 C.-B. 420 kV Busbar CVT Three-phase 420 kV Shunt-Reactor 8 8 Three-Phase 420 kV 100 MVARS Shunt Reactor F= 0.548 Wb, N=1409 turns, L1=5.617 H For mu (50 Hz) = 0.06 H/m: Xac =Xc a= 9 Ohms Xba=Xbc =7 Ohms Xab=14 Ohms Xaa= 1741 Ohms Xbb= 1750 Ohms Xc c =1741 Ohms 9 g = 12 mm 9 2900 mm For mu (700 Hz) = 0.01 H/m: x x= 710 mm 1 0 2x 1 0 Xac =Xc a= 54 Ohms Xba=Xbc =42 Ohms Xab=84 Ohms Xaa= 1741 Ohms Xbb= 1750 Ohms Xc c =1741 Ohms A B C D E F G H I J K L M N O P A B C D E F G H 1 1 6 Validation of the Air gap leader Model with CIGRE equation PLOT x 10 Vleader_3MV@vn@1 breakdown time 0 -0.5 The applied surge varies between -3 and -5M V y -1 m2 -1.5 2 VM + 2 ?v R 100 -2 + The leader length varies between 3 and 6m + 2 3 4 t (ms) 5 6 7 + AG 1 Leader -2.5 -3 x 10 Vsurge ?v -3060kV/-14000/-4166666 breakdown time definition 3 3 6 0 PLOT x 10 Vleader@vn@1 Vsurge2@vb@1 -0.5 Length (m) Voltage(MV) -1 3 4 5 y -1.5 -2 3 Equation 1.2516 0.6944 0.4622 Model 1.69 0.95 0.69 4 Equation 2.568 1.2516 0.7867 Model 2.9 1.58 1.1 5 Equation 5.4155 2.1491 1.2516 6 Model Equation Model 4.8 2.15 3.6902 3.1 1.3 1.9316 1.8 breakdown time comparison in us -2.5 4 4 -3 -3.5 -4 0 0.01 0.02 0.03 0.04 0.05 t (ms) 0.06 0.07 0.08 0.09 0.1 A typical leader breakdown voltage compared to the applied surge voltage Ref: 1- Shindo, Takatoshi; Suzuki, Toshio (CRIEPI) " New Calculation Method of Breakdown Voltage-Time Characteristics of Long Air Gaps", IEEE Transactions on Power Apparatus and Systems, Vol. PAS-104, No. 6, June 1985, pp 1556-1563. 5 2- DARVENIZA(M.); POPOLANSKY (F.); WHITEHEAD (E.R.) "Lightning protection of UHV transmission lines", CIGRE report 1975-41. I/O FILES A B C 5 D E F G H A B C D E F G C4 sum3 Imin C5 + 0.3 Imax C1 VDCL Iref Iref c 1.0 f max=f o+df sum2 s40 Imin 1 + + DEV3 1.2 C2 fo 1 -0.15 c Current Controller w ith VDCL PI Controller 0.35 Kp=0.35 Ki=0.35 V.K.Sood f req limits set here C3 c id_rec 1 id_rec_pu Scaling of Id DEV6 freq_order PLL osc 1 vdcl_input freq_order 2 Fault/Test Sequence Generator: Enter: amplitude and timing sequence -0.2 pu 300-500 ms 1.0 pu 300-500 ms 1.0 pu 300-500 ms 1.0 pu 300-350 ms 0.75 pu 325-375ms 0.75 pu 300-400ms 1.0 pu 300-400ms 1.0 pu 300-400ms 25 Hz 300-400ms Step Io VDCL BLOCK DCFault Apply FR ACFault3 ACFault1 FR Step Frequency pulse_train V.K.Sood AC Filters Step_Io fa_in fb_in fc_in v (t) p1 v_pri_rec_a v_pri_rec_b v_pri_rec_c C6 4.573uF RLC8 + + FR 3 L3 82.6 f(s) MAX pulse_train deblock vd_rec_pu Fm1 fs1 vac_rec vac_rec deblock vd_out Vdetector R4 3.846mH sg8 DEV1 vd_rec 1 2 vd_out AC-DC Voltage Measurement Circuit This is necessary f or f ast initialisation V.K.Sood Fm8 Startup scp1 scope Bridge_star F1 F2 F3 F4 F5 F6 F7 F8 F9 F10 F11 F12 Bridge_delta f_out Frequency Measurement Circuit + RLC + RLC + 0.63,27.83mH,3.009uF 0.63,19.52mH,3.009uF RLC7 Forced Retard Rectif ier Tests possible: 1. Step change in Io 2. Voltage Dependent Current Limit (VDCL) 3. Block/Deblock of firing pulses 4. DC Line fault with protection & recovery sequence 5. Three phase ac bus fault, with recovery sequence 6. Single phase ac bus fault, high impedance, no protection 7. Forced retard of rectifier firing pulses 8. Step change in oscillator frequency rec_bus F1 2 3 4 5 6 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 F1 3 rec_bus2 + sg2 rec_star_firing 1 2 3 4 5 6 scp2 scope rec_delta_pulses Fm9 RL1 2 rec_star_pulses V.K.Sood sg6 Purpose: Teaching/Training of personnel on HVDC systems Firing_Generator f_m easure 1 Prepared by: V.K.Sood, sood.vijay@ireq.ca Date: May 2003 DEV5 vd_rec_pu DEV4 Step changes in Io Timing pulse_train freq_meas freq_meas sg5 3 Amplitude 1. 2. 3. 4. 5. 6. 7. 8. 0.35 1600 Description lim1 f min=f o-df PI Vd_static Model of HVDC Rectifier operating with weak ac system and bipolar 6-p dc system Suggested Test Sequences 0.15 DEV2 u out Kp Ki error + - Io_lim Vd_dynamic H DOUBLE CLICK HERE FOR MORE INFO Io_limit + c Imax c 0.25,45mH + 230kV /_60 AC2 4 R3 + s158 DCf ilter m1 s123 + VM ?v Rectifier To Bipolar DC system 220kV sg1 1k,0,0.1uF RLC 5 YgD_2 1 2 RLC4 ACFault1 rec_delta_bus 6-pulse bridge + 1 a GND + 3-phase R1 + Inv erter 230/205.45 cSW5 1,0.2814,1uF + sg4 L4 Recov ery f rom a dc f ault will require FR to be coordinated 1 Ph f ault - gates 250mH + RLC + ACFault3 RLC5 220kV R8 + + 350mH 2.5 DCFault A B C D E F G RLC3 c RLC + b H DC1 DC2 RLC6 1 + cSW2 + cSW3 D1 1000,0,0.1uF 1 R7 + DC Fault RLC2 id_rec + vd_rec - gates RLC 3 Ph f ault sg7 230/205.45 a cSW1 R6 + D2 1000,0,0.1uF + 1 4 + R2 R5 + NOR 3 0.1 Fm3 2 i(t)p2 1,0.2814,1uF RLC1 v (t) RLC + 2.5 1000,0,0.1uF + 350mH + + 3-phase rec_star_bus 1 VDCL 6-pulse bridge 2 0.050 cSW4 YY2 1 Delay sg3 + ?vi dly1 RLC BLOCK 4 5 A B C D E F G H 1 1 Field Recording (10-08-1986) Validation of the Secondary Arc Model with IREQ Laboratory Tests EM TP-RV Simulation (05-22-2005) 2 2 R2 + 300 ?i RL1 + 0.7,13Ohm C3 1.60uF + 3 4 DEV1 3 Sec_ARC_a + 66.4kVRMS /_0 + + 1.05uF Secondary arc + C2 + SW1 + 100ms/200ms/0 AC1 0.2 R3 0.2 R1 4 Primary Arc: 5 kA eff Secondary Arc: 40 A Wind Speed: 9.7 km/h Secondary Arc Duration: 1.04 sec. 315 kV insulator string, l=2.3 m I/O FILES Ref.: Kizilcay M ., Bán G., Prikler L., Handl P.: "Interaction of the Secondary Arc with the Transmission System during Single-Phase Autoreclosure" IEEE Bologna PowerTech Conference, June 23-26, 2003 Bologna, Italy, Paper 471 5 A B C D E F G H 5 A B C D E F G H 1 1 Example of Synchronous/Asynchronous Machine Modeling - Starting an 11000 hp motor at 1s with 5 induction machines already in steady-state - LL-g fault on the 120 kV bus with system islanding at 9 s - System recovery by the governor system of the large SM until 30 s - Case showing the good numerical stability of large number of machines in EMTP-RV - Ref. (Motor): G. J. Rogers, IEEE Trans. on Energy Conversion, Vol. EC2, No 4 Dec. 1987, pp. 622-628. - Using variable output rate after 15 s of simulation. 2 2 3 ?v 13.8kV 500MVA Tm ASM1 YgYg_np2 2 1 ?i + 120kV /_17 3 9/9.15/0 9/9.15/0 1E15/1E15/0 0.2uF 4 Equivalent 120 kV Network + S 0.1 1Ohm 25.5/6.6 1 + 40uF 25.5/12 C4 YgYg_np1 + 6.6kV 11000hp ? SW_ASM1 1/1E15/0 ?m 2 ASM P 1 C3 YgD_1 Q 0.2uF Network + + 1 120/26.4 1uF Q_net Q + + 1 13.8/122 SM2 + T S AVR&Gov (pu) P ?i + Speed 4 P_ASM1 scope Q_ASM1 ASM1_control SM IN scope Starting motor at 1 s SW_Network + + AVR_Gov_SM2 P_net -1/9.15/0 DYg_SM2 1 2 ?m SW_Fault Out + Simulation options I/O FILES + 2 MPLOT scope Vnet VM scope Fault & System Islanding at 9 s 3 380uF C7 Induction motors in steady-state ?m P SM SM_load Q Load1 420 MW Load 5 Pm f(u) 1 SM_load_control 6.6kV 11000hp Omega_1 6.6kV 11000hp ASM2 S ASM3 ASM4 ASM S ?m 6.6kV 11000hp ?m 6.6kV 11000hp ASM S ASM ASM ASM6 ASM5 ?m 6.6kV 11000hp ?m ?m ASM S 240uF S + 5 12kV 40MVA 32 MW Synchronous Motor Load A B C D E F G H A B C D E F G H 1 1 Operation of Tap Changers During a Voltage Dip 2 2 loss1 1 loss2 1 V_230_pu scope V_26kV_pu scope 21555 187771 3 3 +/- 10% of 230 kV in 6 taps of 1.667% Initial Tap at -2 Td0=10 s, Td inverse Deadband of 1% +/- 15% of 26.4 kV in 8 taps of 1.875% Initial Tap at -2 Td0=15 s, Td inverse Deadband of 1.5% OLT C_Control2 4 OLT C_Control1 Vmeas Tap Slack: 500kVRMSLL/_0 Vsine_z:VwZ1 Tap Vmeas 4 rad mag V1 LF LF1 YD_1 YgYgD_np1 2 VwZ1 + 1.02/_-3.4 1 2 1.01/_-44.9 PI + 508kVRMSLL /_2 508kVRMSLL /_-118 508kVRMSLL /_122 Slack:LF1 230/26.4 ? Transmission Line 3 0.013 0.22Ohm + 500/230/50 C1 MW,MX,PF MW,MX,PF SW1 + 0.1uF 5/50/0 1 PI1 rad mag V1 Z Dist I/O FILES Z Dist + 50 5 VLOADg2 Creating a 5% Voltage Dip Duration of 45 sec. A B VLOADg1 Va,Vb,Vc R1 C Va,Vb,Vc Np,Nq Kp,Kq 5 Np,Nq Kp,Kq 50/60 Hz 50/60 Hz MPLOT D E F G H A B C D ZnO Arrester model based on IEEE Surge Protective Device Working Group 1 1 Simulation options - L1 (uH) = 15 d/n; R1 (Ohm) = 65 d/n - L0 (uH) = 0.2 d/n; R0 (Ohm) = 100 d/n - C0 (pF) = 100 n/d I/O FILES d is the Height of the arrester and n is the number of parallel columns 2 2 Example of Modeling of an Ohio-Brass Zno Arrester for a 330 kV Network MCOV= 209 kV d=1.8 m, n=1 3 A0 & A1 Characteristics adjusted to get 516 kV for a 2 kA 45 us Switching Surge then L1 adjusted to get 604 kV for a 10 kA 8/20 us Lightning surge then checking for 10 kA 0.5 us front of wave 664.5 kV vs 665 kV from Ohio-Brass FANTASTIC!! 3 m1 + VM ?v L0 L1 + 0.36uH + 117 R1 180 R0 ?i 0.0555nF 516000 C1 516000 ZnO2 10.7kA/-70000/-4755000 ZnO + + + ?i Isurge1 42uH ZnO + Isurge2 + + Isurge3 ?i 4 0.5 us 8 us + 45 us + 4 ZnO1 24.9kA/-55000/-175000 2.95kA/-5000/-46500 model in: A0_1_Char.pun ZnO Data function model in: A1_1_Char.pun ZnO Data function A1_1_Char.dat 5 5 A B C D New example New example New example New example New example Contacts Technical Support: support@emtp.com Sales Team: sales@emtp.com www.emtp.com POWERSYS Corporate headquarters Les Jardins de l'Entreprise 13610 Le Puy-Sainte-Réparade FRANCE POWERSYS German Office Verbindungsbüro Deutschland Walter-Kolb-Str. 9-11 60594 Francfurt/Main DEUTSCHLAND POWERSYS Inc. 8401 Greenway Blvd. Suite 210. 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