Project memo AN 01.12.40 Modelling of generator trains in PSCAD/EMTDC SINTEF Energy Research 1 Objectives Test and describe models of generator trains such that these are easily available for future studies in the project Study of generator train modelling in general Study and test of PSCAD / EMTDC simulation software models in particular Focus on models suitable for studies of: weak, possible autonomous, power systems Diesel or gas-turbine generator trains connected to large power electronic converter loads or connected to other converters connected power sources. SINTEF Energy Research 2 Models described in memo Generator models Exciter models Diesel engine models Gas turbine models Speed governor models Dynamic shaft models SINTEF Energy Research 3 Simple exciter model Alternative to the standard IEEE based models in PSCAD/EMTDC Transparent (no hidden details) SINTEF Energy Research 4 Diesel engine (Level 1 model) z (fuel command) KD Tm (Torque) 1 BD + sJ D SINTEF Energy Research wm (mech. angluar veloc.) 5 Diesel engine (Level 4 model) 1 1 + sTT Minimum z (fuel command) NT ”Turbo charger speed” look-up table zmax = f (NT) 1 1 + sTFI zmax (Max. usable fuel injection) * Tm (Torque) 1 B D + sJ D wm (mech. angluar veloc.) look-up table KD = f (Pm) Pm (Power) * SINTEF Energy Research 6 Inclusion of torque ripple in diesel engine model (level 1 model) wm (p.u.) Kw,pu wm (rad/s) z (fuel command) 1 s θm (rad) Look-up table TR = f(z, θm) TR + KD Tm (Torque) + 1 BD + sJ D wm (mech. angluar veloc.) SINTEF Energy Research 7 Speed governor model with droop wmeasure wref (speed ref.) + - Kdroop Time lag / filter PID Max: 1.0 Min: 0.0 d/dt limiter z (fuel command) Pout,gen (Output power of generator) SINTEF Energy Research 8 Gas turbine models Focused only on generators without cogeneration (i.e. exhaust is not used for electric power generation) Sub-systems included in model: Speed governor Temperature limit controller Fuel injection system and turbine time constants Mechanical system (inertia and mechanical damping) Acceleration control SINTEF Energy Research 9 Gas turbine model (excl. mechanical inertia and mechanical damping) w (turbine speed) 1.0 + - From acceleration controller + - wref (speed ref.) Low value select PID Max: 1.0 Min: -1.0 + + Load limit controller * 0.5 Gain * Fuel command Time lag (fuel sys.) Time lag (turbine) VMax VMin + + Tturb (turbine mech. torque) Texhaust Time lag (thermal) + Tmax SINTEF Energy Research 10 Possible realisation and modelling of acceleration controller Acceleration limit (typ.: 0.1p.u / sec) w (speed) s 1 + Tds - + + 1 Ts To low value select block Max: >1.0 Min: 0 Typical: T = 0.01 SINTEF Energy Research 11 Example: Untitled no name +1.015 w +1.009 +1.003 Dieselgenerator train +0.997 +0.991 +0.985 3 6 9 12 15 18 12 15 18 12 15 18 15 18 no name +0.45 PGen (p.u.) QGen (p.u) +0.35 +0.25 +0.15 +0.05 -0.05 3 6 9 no name +1.4 If +1.12 +0.84 +0.56 +0.28 - Speed - Power (P , Q) - Field current - Load current +0 3 6 9 no name +1 Ib Ia Ic +0.6 +0.2 -0.2 -0.6 -1 3 6 9 12 Time (sec) SINTEF Energy Research 12 Untitled Example: no name +1.04 w +1.022 +1.004 +0.986 +0.968 Gas turbine generator train +0.95 4 9.2 14.4 19.6 24.8 30 19.6 24.8 30 19.6 24.8 30 24.8 30 no name +0.45 PGen (p.u.) QGen (p.u) +0.35 +0.25 +0.15 +0.05 -0.05 4 9.2 14.4 no name +1.4 If +1.12 +0.84 +0.56 +0.28 - Speed - Power (P, Q) - Field current - Load current +0 4 9.2 14.4 no name +1 Ia Ib Ic +0.6 +0.2 -0.2 -0.6 -1 4 9.2 14.4 19.6 Time (sec) SINTEF Energy Research 13 Shaft dynamics can be included SINTEF Energy Research 14 Conclusions The presented models and the simulation software PSCAD/EMTDC are suited for studies of interaction phenomena between generator trains and converters The generator train models are also considered suited in simulation analysis for optimal design of power converter control. The conclusion is however (as usual): More problems to obtain relevant data (parameters) for the system, than to implement these data in accurate models. SINTEF Energy Research 15 PROJECT MEMO MEMO CONCERNS Energy Research SINTEF Energy Research Address: Reception: Telephone: Telefax: N-7465 Trondheim, NORWAY Sem Sælands vei 11 +47 73 59 72 00 +47 73 59 72 50 http://www.energy.sintef.no Modelling of generator trains in PSCAD/EMTDC DISTRIBUTION Magnar Hernes (SINTEF Energiforskning) Nils Arild Ringheim (SINTEF Energiforskning) Kjell Ljøkelsøy (SINTEF Energiforskning) Olve Mo (SINTEF Energiforskning) Enterprise No.: NO 939 350 675 MVA AN NO. CLASSIFICATION REVIEWED BY AN 01.12.40 Åpen Magnar Hernes ELECTRONIC FILE CODE AUTHOR(S) DATE 010808Mo143726 Olve Mo 2001-08-08 PROJECT NO. NO. OF PAGES 12X12702 Olve.Mo@energy.sintef.no 59 DIVISION LOCATION LOCAL FAX Energy Systems Sem Sælands Vei 11 +47 73597250 SUMMARY This memo presents the results of a study of generator train modelling in general and particularly implementation of generator train models in the PSCAD/EMTDC simulation software. The scope is generator train models suitable for studies of weak, possible autonomous, power systems, where typically a diesel or gas-turbine generator trains is connected to large power electronic converter loads or to other power sources connected to the power system via converters. The models will be especially suited in studies of interaction phenomena between generator trains and converters, and also as a tool for optimal design of power converter control. Presented in this memo are: · · · · · · Generator models Exciter models Diesel engine models Gas turbine models Speed governor models Dynamic shaft models The intention has not been to establish new models of these system components, but rather to collect and test models presented in literature and in the PSCAD/EMTDC manuals, making them easily available for further investigation of studies like the one outlined above. This study has shown that generally the problem is more to obtain relevant data for the system, than to implement these data in accurate models in PSCAD/EMTDC. 12X12702 AN 01.12.40 2 Energy Research TABLE OF CONTENTS Page SUMMARY ............................................................................................................................... 1 1 INTRODUCTION ............................................................................................................ 4 2 GENERATOR .................................................................................................................. 5 2.1 Generator model.................................................................................................... 5 2.2 Exciter ................................................................................................................... 7 2.2.1 Exciter models in PSCAD / EMTDC ..................................................... 7 2.2.2 Initialisation of the PSCAD/EMTDC exciter models........................... 12 2.2.3 Alternative exciter model...................................................................... 13 2.3 Power system stabilizers ..................................................................................... 14 2.4 Parallel operation of generators .......................................................................... 14 2.5 V/f – control ........................................................................................................ 15 3 DIESEL ENGINES......................................................................................................... 16 3.1 Diesel engine....................................................................................................... 16 3.1.1 Characteristics of diesel engines ........................................................... 16 3.1.2 Level 1 model of diesel engine ............................................................. 16 3.1.3 Level 2 model of diesel engine ............................................................. 17 3.1.4 Level 3 model of diesel engine ............................................................. 18 3.1.5 Level 4 model of diesel engine ............................................................. 20 3.1.6 Inclusion of constant friction torque ..................................................... 23 3.1.7 Inclusion of torque ripple...................................................................... 23 3.2 Speed governor.................................................................................................... 26 3.3 Modifications of speed governor for parallel operation...................................... 26 4 GAS TURBINE .............................................................................................................. 29 4.1 Gas turbine .......................................................................................................... 29 4.2 Modifications of speed governor for parallel operation...................................... 32 4.3 Model parameter extraction from measurements................................................ 32 5 COMPLETE PSCAD / EMTDC MODEL OF A DIESEL GENERATOR TRAIN ..... 33 5.1 Modelling ............................................................................................................ 33 5.1.1 Generator............................................................................................... 33 5.1.2 Exciter ................................................................................................... 33 5.1.3 Diesel engine......................................................................................... 33 5.1.4 Speed governor ..................................................................................... 33 5.1.5 Generator load....................................................................................... 33 5.1.6 The model ............................................................................................. 34 5.2 Parameters used in the model.............................................................................. 36 5.3 Simulated examples for illustration of correct behaviour ................................... 36 5.3.1 Step loading and load rejection............................................................. 36 5.3.2 Terminal short circuit............................................................................ 37 6 COMPLETE MODEL OF A GAS TURBINE GENERATOR TRAIN ........................ 40 6.1 Modelling ............................................................................................................ 40 6.1.1 Generator............................................................................................... 40 6.1.2 Exciter ................................................................................................... 40 12X12702 AN 01.12.40 3 Energy Research 6.2 6.3 6.1.3 Gas turbine and speed governor............................................................ 40 6.1.4 Generator load....................................................................................... 40 6.1.5 The model ............................................................................................. 40 Parameters used in the model.............................................................................. 45 Simulated examples for illustration of correct behaviour ................................... 45 6.3.1 Step loading and load rejection............................................................. 45 7 INCLUSION OF SHAFT DYNAMICS ......................................................................... 47 7.1 Modelling of shaft dynamics............................................................................... 47 7.2 Example of simulation including shaft dynamics ............................................... 48 7.3 Parameters used in the model.............................................................................. 51 8 CONCLUDING REMARKS.......................................................................................... 52 REFERENCES ......................................................................................................................... 53 APPENDIX A 12X12702 PARAMETERS FOR THE EXAMPLES ............................................ 54 AN 01.12.40