MODELING AND SIMULATIONS OF A NON-LINEAR COIL

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MODELING AND SIMULATIONS OF A NON-LINEAR COIL

Journal Title: Proceedings of Electrotechnical Institute Prace Instytutu Elektrotechniki - Year 2016, Vol 63, Issue 272

Abstract

Solving rigid differential equations systems should be performed with the application of implicit or semi-explicit methods. As proven in the example given in this paper – the implicit RADAU IIA methods can be successfully applied for the purpose of solving the rigid non-linear systems. The high-order methods up to 11 cause that the application performs relatively large integration steps in pursuit of the steady state that is comparable with the explicit methods. Furthermore, the number of iterations and computation time for a sample non-linear equations formulated for a coil with iron losses is comparable to other methods such as, e.g., multistep Gear method. Also a sample test has proved that the implicit Runge-Kutta methods can be competitive for the purpose of research regarding electrical systems described with the rigid differential equations compared to the multistep Gear method.

Authors and Affiliations

Joanna KOLAŃSKA-PŁUSKA, Barbara GROCHOWICZ

Keywords

implicit Runge-Kutta methods nonlinear coil

EP ID EP78966
DOI 10.5604/00326216.1197321
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