Power System Analysis for Nonsinusoidal Steady State Studies Based on Wavelets

In this paper power system model is represented in a new domain that relates to Multi-Resolution Analysis (MRA) space. By developing mathematical model of elements in this space using Galerkin method, a new alternative method for power system simulation in nonsinusoidal and periodic conditions is developed. The mathematical formulation and characteristics of new proposed space is expressed. Also the relation between this domain and spectral analysis is presented. Transmission line and switching devices modeling in the proposed domain is investigated. To consider frequency dependency of line parameters and to obtain harmonics information, the relationship between this dependency and the new suggested domain is discussed. Then the new algorithm is presented and demonstrated for two case studies.