Time-Periodic Nonlinear Steady Field Analysis

Chapter
Part of the Mathematics for Industry book series (MFI, volume 5)

Abstract

Error correction Time interval Flexible (ETF) method is presented to fastly obtain time-periodic nonlinear fields in the presence of extremely slow decay fields. The analysis variables are corrected by using the steady-state condition with respect of time variations of the fundamental components. The ETF method is classified into Self ETF and Mutual ETF methods. The time interval of error corrections is flexibly selected, and then step-by-step continuous error corrections are available by using the Mutual ETF method. The ETF method improves the convergence properties of the conventional method like the simplified Time-Periodic Explicit Error Correction (TP-EEC) and the simplified polyphase TP-EEC methods. The presented methods were verified in three-variable simultaneous equations as a simple linear example problem and a nonlinear magnetic field simulation of a synchronous motor by the finite element method as a multivariable problem.

Keywords

Time-periodic solution Steady field Correction Transient field Magnetic field 

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Copyright information

© Springer Japan 2014

Authors and Affiliations

  1. 1.Hitachi Research LaboratoryHitachi, Ltd.HitachiJapan

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