Abstract：To obtain the capacitance for buildup of loaded self-excited induction generators (SEIGs) analytically, firstly, this paper established the space-vector transient equivalent circuit and the mathematic model in the stationary two-phase orthogonal reference frame. Thereafter, an equivalent transformation analysis approach for system stability was proposed, and the critical condition of quasi-limit cycle representing energy equilibrium and motion stability was obtained. Thirdly, the analytical calculation of the critical condition of quasi-limit cycle is obtained for loaded buildup under a given rotor speed and resistance. It was easier to obtain the critical rotor speeds of loaded buildup under a given capacitance and resistance. Moreover, the necessary conditions for ensuring self- excitation were calculated, i.e. the analytic limit values of the resistance and capacitance. Finally, compared with other methods and model simulations under different operating modes, the proposed approach has good agreement of the calculated results, simplicity of calculation and applicability of analytic formulas, which is applicable to more complex systems. The analytic formulas are helpful for system configuration optimization and performance evaluation.
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2020, Vol. 35 
