PROCEDURES FOR ACCELERATING THE CONVERGENCE OF THE HĂNȚILĂ METHOD FOR SOLVING THREE-PHASE CIRCUITS WITH NONLINEAR ELEMENTS – PART I

Authors

  • CLAUDIU TUFAN University Politehnica of Bucharest
  • MIHAI MARICARU University Politehnica of Bucharest
  • IOSIF-VASILE NEMOIANU University Politehnica of Bucharest

Keywords:

Harmonic analysis, Phase separation, Hănțilă method, Nonlinear three-phase circuits with controlled sources, Convergence acceleration

Abstract

The Hănțilă method is a fixed-point method which treats nonlinearity by constructing a Picard-Banach sequence with assured convergence. Sometimes, the contraction factor of the operator building the iteration sequence is very close to the unit value and thus the convergence is rather slow. We propose and analyze several procedures for accelerating the calculation algorithm in case of utilizing the Hănțilă method for solving nonlinear three-phase circuits.

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Published

30.09.2022

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Électrotechnique et électroénergétique / Electrical and Power Engineering