Several theoretical results are presented and simple examples examined in order to determine the suitability of waveform relaxation for transient power system simulation. This examination leads to two practical suggestions that can easily be satisfied for power systems. The first is to break the simulation interval into sections, the first of which should be narrow and be used to kill off errors in the initial guess that activate the stiff modes. The second is to partition the system into subsystems that are stable, as this not only aids convergence but ensures multirate numerical stability.
M. D. Ilić et al., "Convergence Properties of the Waveform Relaxation Method as Applied to Electric Power Systems," Proceedings of the IEEE International Symposium on Circuits and Systems (1989, Portland, OR), vol. 3, pp. 1863-1866, Institute of Electrical and Electronics Engineers (IEEE), May 1989.
The definitive version is available at http://dx.doi.org/10.1109/ISCAS.1989.100731
IEEE International Symposium on Circuits and Systems (1989: May 8-11, Portland, OR)
Electrical and Computer Engineering
Keywords and Phrases
Convergence of Numerical Methods; Convergence Properties; Multirate Numerical Stability; Power System Analysis Computing; Simulation Interval Partitioning; System Partitioning; Theoretical Results; Transient Power System Simulation; Transients; Waveform Relaxation Method
Article - Conference proceedings
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