A Voltage-Behind-Reactance Induction Machine Model for the EMTP-Type Solution

Recently, there has been renewed interest in modeling of electrical machines for the electro-magnetic transient program (EMTP)-type programs, with the goal of improving the machine- network interface. In this paper, we present a new voltage-behind- reactance induction machine model for the EMTP-type solution and power system transients. In the proposed model, the stator circuit is represented in abc phase coordinates and the rotor subsystem is expressed in qd arbitrary reference frame. Similar to the recently proposed synchronous-machine voltage-behind-reactance model and the established phase-domain model, simultaneous solution of the machine-network electrical variables is achieved. Efficient numerical implementation of the proposed model is presented, in which one time-step requires as little as 108 flops, taking 1.6 mus of CPU time. Case studies of induction machine start-up transients demonstrate that the proposed model is more accurate and efficient than several existing EMTP machine models.

[1]  Oleg Wasynczuk,et al.  An efficient and accurate model for the simulation and analysis of synchronous machine/converter systems , 1998 .

[2]  Paul C. Krause,et al.  Simulation of Symmetrical Induction Machinery , 1965 .

[3]  W. Gautschi Numerical analysis: an introduction , 1997 .

[4]  Junji Tamura,et al.  Derivation of phase-domain model of an induction generator in terms of instantaneous values , 2000, 2000 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.00CH37077).

[5]  Jose R. Marti,et al.  Latency techniques for time-domain power system transients simulation , 2005 .

[6]  J. Jatskevich,et al.  Re-examination of Synchronous Machine Modeling Techniques for Electromagnetic Transient Simulations , 2007, IEEE Transactions on Power Systems.

[7]  G. Joos,et al.  Simultaneous solution of control system equations in EMTP , 2006, IEEE Transactions on Power Systems.

[8]  Eric Walters,et al.  An efficient multirate Simulation technique for power-electronic-based systems , 2004 .

[9]  Hermann W. Dommel,et al.  Synchronous machine models for simulation of induction motor transients , 1996 .

[10]  Juri Jatskevich,et al.  A Voltage-Behind-Reactance Synchronous Machine Model for the EMTP-Type Solution , 2006 .

[11]  Stephen P. Boyd,et al.  Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.

[12]  B. Khodabakhchian,et al.  Induction Machine Modeling for Distribution System Analysis using Initialization and Time-Domain Methods , 2006, 2005/2006 IEEE/PES Transmission and Distribution Conference and Exhibition.

[13]  Junji Tamura,et al.  Model Derivation of an Adjustable Speed Generator and its Excitation Control System , 2004 .

[14]  W. Scott Meyer,et al.  Universal Machine Modeling for the Representation of Rotating Electric Machinery in an Electromagnetic Transients Program , 1982, IEEE Transactions on Power Apparatus and Systems.

[15]  Takashi Ito,et al.  Inaccuracies of trigonometric functions in computer mathematical libraries , 2005 .

[16]  Jean Mahseredjian,et al.  On a new approach for the simulation of transients in power systems , 2007 .

[17]  Uri M. Ascher,et al.  Computer methods for ordinary differential equations and differential-algebraic equations , 1998 .

[18]  Yasuyuki Tada,et al.  Improvements of numerical stability of electromagnetic transient simulation by use of phase-domain synchronous machine models , 1999 .

[19]  J.R. Marti,et al.  Phase-domain induction motor model for power system simulators , 1995, IEEE WESCANEX 95. Communications, Power, and Computing. Conference Proceedings.

[20]  R.A. Dougal,et al.  Symbolically aided model development for an induction machine in virtual test bed , 2004, IEEE Transactions on Energy Conversion.

[21]  J. Jatskevich,et al.  Modeling of Induction Machines Using a Voltage-Behind-Reactance Formulation , 2008, IEEE Transactions on Energy Conversion.

[22]  O. Wasynczuk,et al.  A model-in-the-loop interface to emulate source dynamics in a zonal DC distribution system , 2005, IEEE Transactions on Power Electronics.

[23]  R. A. DeCarlo Linear Systems: A State Variable Approach With Numerical Implementation , 1989 .