Abstract: The low voltage common type and the harmonic suppression type split-phase compensation power capacitors were taken as research target.Considering the factors of system impedance and load impedance,the equivalent single-phase mathematical model of the low voltage split-phase power capacitors was established,and then the transient process of switching the capacitors was analyzed.The optimum ideal condition for switching the capacitors was obtained,which provided the theoretical support for the intelligent control of the power capacitors.Finally,the correctness of the above analysis was verified by the calculation examples and simulation.

Key words: low voltage power capacitor, transient analysis, non-homogeneous differential equation, mathematical model