Floquet analysis of linear dynamic RLC circuits
Mohamed El-Borhamy, Essam M. Rashad, Ismail Sobhy
Abstract
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.
Topics & Concepts
Floquet theoryRLC circuitHarmonic balanceStability (learning theory)MathematicsElectronic circuitControl theory (sociology)HarmonicMathematical analysisComputer sciencePhysicsNonlinear systemAcousticsCapacitorQuantum mechanicsArtificial intelligenceVoltageMachine learningControl (management)Model Reduction and Neural NetworksNumerical methods for differential equationsMatrix Theory and Algorithms