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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.
Mohamed El-Borhamy; Essam Eddin M. Rashad; Ismail Sobhy. Floquet analysis of linear dynamic RLC circuits. Open Physics 2020, 18, 264 -277.
AMA StyleMohamed El-Borhamy, Essam Eddin M. Rashad, Ismail Sobhy. Floquet analysis of linear dynamic RLC circuits. Open Physics. 2020; 18 (1):264-277.
Chicago/Turabian StyleMohamed El-Borhamy; Essam Eddin M. Rashad; Ismail Sobhy. 2020. "Floquet analysis of linear dynamic RLC circuits." Open Physics 18, no. 1: 264-277.