An efficient multirate Simulation technique for power-electronic-based systems

A novel multirate method of simulating power-electronic-based systems containing a wide range of time scales is presented. In this method, any suitable integration algorithm, with fixed or variable time-step, can be applied to the fast and/or slow subsystems. The subsystems exchange coupling variables at a communication interval that can be fixed or varied dynamically depending upon the state of the system variables. The proposed multirate method is applied to two example power systems that include power-electronic subsystems. Increases in simulation speed of 183-281% over established single-rate integration algorithms are demonstrated.

[1]  A. Bihain,et al.  The mixed Adams-BDF variable step size algorithm to simulate transient and long term phenomena in power systems , 1994 .

[2]  J. J. Sanchez-Gasca,et al.  Application of long-term simulation programs for analysis of system islanding , 1997 .

[3]  Nicolas Lechevin,et al.  Distributed Real-time Simulation of Power Systems Using Off-the-shelf Software , 2001 .

[4]  M. Stubbe,et al.  STAG-A New Unified Software Program for the Study of the Dynamic Behaviour of Electrical Power Systems , 1989, IEEE Power Engineering Review.

[5]  D. Kraft.  Nonlinear system analysis by direct collocation , 1987 .

[6]  Patrick Panciatici,et al.  High fidelity simulation of power system dynamics , 1995 .

[7]  Kevin Burrage,et al.  Parallel and sequential methods for ordinary differential equations , 1995, Numerical analysis and scientific computation.

[8]  N. P. Zhidkov.  Numerical analysis: an introduction: J. Walsh, (Ed.), London-New York, Academic Press, XIV + 212 pp., 60 s. 1966 , 1968 .

[9]  P. Kundur,et al.  Simulation of the Non-Linear Dynamic Response of Interconnected Synchronous Machines Part I-Machine Modelling and Machine-Network Interconnection Equations , 1972 .

[10]  Lawrence F. Shampine,et al.  The MATLAB ODE Suite , 1997, SIAM J. Sci. Comput..

[11]  Mariesa L. Crow,et al.  The multirate method for simulation of power system dynamics , 1994 .

[12]  M. Jerosolimski,et al.  A new method for fast calculation of Jacobian matrices: automatic differentiation for power system simulation , 1993, Conference Proceedings Power Industry Computer Application Conference.

[13]  Toshiji Kato,et al.  Computer-aided analysis of a power electronic circuit by a new multirate method , 1998, PESC 98 Record. 29th Annual IEEE Power Electronics Specialists Conference (Cat. No.98CH36196).

[14]  M. Crow,et al.  The multirate simulation of FACTS devices in power system dynamics , 1995, Proceedings of Power Industry Computer Applications Conference.

[15]  Oleg Wasynczuk,et al.  Automated state model generation algorithm for power circuits and systems , 1996 .

[16]  E. Hairer,et al.  Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems , 2010 .

[17]  Leon O. Chua,et al.  Computer-Aided Analysis Of Electronic Circuits , 1975 .

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