Power system transient and harmonic studies using wavelet transform

This papcr presents the application of wavclet transform in power system transient and harmonic analyses. Based on the discrete time domain approximation, the system components such as resistor, inductor, and capacitor are modeled respectively in discrete wavelet domain for the purpose of transient and steady state analyses. Since power system is dcscribed by a set of ordinary differential equations, initial value of state variable is considered for the transient analysis, whilc periodic condition is applied to the state variable for the steady state analysis. The wavelet domain impedancc is set up, and the equivalent circuit is thus built for system simulation. This method can be implemcnted by any kind of orthogonal wavelet transform. Numerical results from an arc furnace system are also presented for the transient, harmonic, and time-frequency analyses.