Modeling method of fast transient for unsymmetrical stray capacitance to ground

Transient characteristic of power system apparatus in a high‐frequency region should be modeled with stray capacitors. Pi‐type circuit is commonly used to represent the stray capacitors between terminals and those to the ground. A modeling method for the pi‐type circuit with unsymmetrical stray capacitances to ground is proposed in this paper. To obtain the unsymmetrical stray capacitances to ground, a couple of differential‐mode measurements are interchangeably applied. The parameters of the pi‐type circuit can be determined by the measurements with a common‐mode measurement. A nonlinear least‐squares method is used to estimate the capacitances. The method is applied to compose an equivalent circuit of a miniature circuit breaker (MCB), which has unsymmetrical stray capacitances to ground. The application is not only for the MCB but also for a scaled model of a high‐voltage circuit breaker. A gas‐filled arrester is used as a voltage sensor for the test because the voltage across the stray capacitor cannot be directly measured due to the input capacitance of a voltage probe. A transient response of the MCB with the gas‐filled arresters is numerically simulated to show the usefulness of the equivalent circuit. © 2015 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.