Invasive Harmonic Solution and Analysis of Power System Swing Equation
The invasive analytical harmonic solution of the swing equation is derived. Firstly, aiming at the initial value problem of quadratic differential algebraic systems, a systematic quadratic harmonic balance method is proposed.Secondly, the power grid motion equation is mapped to the decoupled space, extending the high-order block decoupling form of the swing equation, and the invasive harmonic solution of the oscillation equation is given by using the proposed harmonic balance method. Then, the morphological characteristics of the stable motion of the power grid are analyzed based on the harmonic solution, and the transient nonlinear state-output equation is established. Finally, the simulations of the single-machine infinite bus system and IEEE 3-machine 9-bus system verify the effectiveness of the proposed method and theoretical analysis.
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维普
