General hybrid orthogonal functions-a new tool for the analysis of power electronic systems

A set of general hybrid orthogonal functions (GHOFs) is introduced to meet the needs of any problem of spectral analysis. The completeness of the set of GHOFs is established, and its flexibility and use for efficient representation of signals in typical practical problems is discussed. The GHOF spectral analysis of linear time-invariant dynamical systems in state space is presented. The technique is applied to two illustrative silicon-controlled-rectifier-controlled DC motor drive simulations, which clearly demonstrates the power of the GHOF in simulating such systems. Some aspects of programming necessary for the related software development are presented.<
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