Floquet analysis of linear dynamic RLC circuits

Autor: El-Borhamy Mohamed, Rashad Essam Eddin M., Sobhy Ismail
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Open Physics, Vol 18, Iss 1, Pp 264-277 (2020)
Druh dokumentu: article
ISSN: 2391-5471
DOI: 10.1515/phys-2020-0136
Popis: 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.
Databáze: Directory of Open Access Journals