NDLI: Newton methods for the fast computation of the periodic steady-state solution of systems with nonlinear and time-varying components

Content Provider	IEEE Xplore Digital Library
Author	Medina, A. Garcia, N.
Copyright Year	1999
Description	Author affiliation: Fac. de Ingenieria Electrica, Ciudad Univ. Morelia, Michoacan, Mexico (Medina, A.)
Abstract	The periodic steady-state solution of electric networks with nonlinear and time-varying components is efficiently solved in the time domain with the use of novel Newton methods for the acceleration of the convergence of state variables to the limit cycle. The Newton techniques are based on the direct approach and the numerical differentiation procedures, respectively. Electric networks having linear transmission lines, nonlinear loads and time-varying components such as electric arc furnaces and TCR components are analyzed. Comparisons are made between case studies of systems solved in the time domain with the conventional brute force approach and with two Newton methods of natural quadratic convergence, in terms of the number of full periods of time and CPU time required by the different algorithms, code implementation and computer platform used.
Starting Page	664
Ending Page	669
File Size	476500
Page Count	6
File Format	PDF
ISBN	0780355695
DOI	10.1109/PESS.1999.787396
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1999-07-18
Publisher Place	Canada
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Steady-state Power system harmonics Acceleration Newton method Limit-cycles Differential equations Furnaces Convergence Time varying systems Transmission lines
Content Type	Text
Resource Type	Article

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