A Robust and Efficient Iterative Scheme for the EMT Simulations of Nonlinear Circuits

This paper presents a robust and efficient iterative scheme for solving nonlinear circuits as a solution method for electromagnetic transient (EMT) simulations. In most EMT simulations, the characteristics of nonlinear components can be represented by piece-wise linear curves. With this assumption,...

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Bibliographic Details
Published in:IEEE transactions on power delivery 2011-04, Vol.26 (2), p.1030-1038
Main Authors: Noda, T, Kikuma, T
Format: Article
Language:English
Subjects:
Applied sciences
Circuit transient analysis
Circuits
Computer simulation
Convergence
Disturbances. Regulation. Protection
Electrical engineering. Electrical power engineering
Electrical power engineering
electromagnetic transient analysis
Exact sciences and technology
Integrated circuit modeling
Iterative methods
Mathematical analysis
Mathematical models
Newton Raphson methods
Newton-Raphson method
Nonlinear circuits
Nonlinearity
power electronics
Power electronics, power supplies
Power networks and lines
Power system dynamics
power system transients
Resistors
Robustness
Studies
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Summary:This paper presents a robust and efficient iterative scheme for solving nonlinear circuits as a solution method for electromagnetic transient (EMT) simulations. In most EMT simulations, the characteristics of nonlinear components can be represented by piece-wise linear curves. With this assumption, the Newton-Raphson (NR) method shows high efficiency, but it is prone to get into an infinite loop, resulting in nonconvergence. First, the NR method is extended to utilize the information of both axes of the nonlinear characteristics, and this modified method is called a biaxial NR method. The biaxial NR method shows a significantly improved convergence performance with additional computation. Next, an iterative scheme, which combines the standard NR, the biaxial NR, and the Katzenelson method is proposed. It first tries the standard NR that is the most efficient but the least convergent. If it fails to converge, the biaxial NR, which is more convergent but less efficient, is employed. Just in case when the biaxial NR does not converge, finally, the Katzenelson method, whose convergence is mathematically guaranteed but least efficient, is used. In this way, the proposed scheme always converges with a relatively small number of iterations. Illustrative and practical examples are shown to validate the proposed scheme.
ISSN:0885-8977
1937-4208
DOI:10.1109/TPWRD.2010.2091288