Determination of minimum and maximum capacitances of an isolated SEIG using eigenvalue sensitivity approach

This paper presents a simple and direct approach based on first-order eigenvalue sensitivity method to determine both maximum and minimum values of capacitance required for an isolated self-excited induction generator (SEIG) under different loading conditions. Traditionally, the minimum and maximum capacitances required for a SEIG were solved by a high-order nonlinear polynomial equation based on a per-phase equivalent-circuit model. The proposed eigenvalue sensitivity method is a simple method based on a linearized d-q axis dynamic model to find both minimum and maximum values of the capacitance for a SEIG. The capacitance values obtained by using the proposed method are compared with the ones obtained by the conventional method in order to demonstrate the correctness and feasibility of the proposed method