State-space voltage-behind-reactance modeling of induction machines based on shifted-frequency analysis

Modeling and simulation of power systems for general-purpose transient studies has been receiving significant attention in the literature. Among recently proposed methods, the so-called shifted-frequency analysis (SFA) approach has been shown to facilitate accurate and numerically efficient simulation of electromagnetic and electromechanical transients with the use of dynamic phasors. This paper proposes a SFA-based voltage-behind-reactance (VBR) model of induction machines (IMs), which is shown to permit the use of a large range of step sizes to effectively simulate various types of transients. The proposed VBR-SFA IM model is developed in state-space formulation, which is simple to implement and can be solved with built-in variable-step solvers in MATLAB/Simulink and other programs. Computer studies demonstrate that the proposed VBR-SFA IM model requires significantly fewer time steps and is more efficient than the conventional/existing time-domain models.