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3. Floquet analysis of linear dynamic RLC circuits

Author

El-Borhamy Mohamed, Rashad Essam Eddin M., and Sobhy Ismail

Subjects
rlc circuits, linear differential equations, floquet’s theory, stability theory, periodic solutions, Physics, QC1-999
Abstract

In this article, the linear dynamic analysis of AC generators modeled as RLC circuits with periodically time-varying inductances via Floquet’s theory is considered. Necessary conditions for the dynamic stability are derived. The harmonic balance method is employed to predict the transition curves and stability domains. An approximate expression for the Floquet form of solution is constructed using Whittaker’s method in the neighborhood of transition curves. Numerical verifications for the obtained theoretical results are considered. In accordance with the experimental results, a satisfactory agreement is relatively achieved with the closed experimental literature of the problem.

Published
2020
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