Polynomial matrix based models of power system dynamics

作者: J.E. Van Ness , F.M. Brasch

DOI: 10.1109/T-PAS.1976.32242

关键词: Differential equationState variableControl theoryMatrix differential equationEigenvalues and eigenvectorsPolynomial matrixMathematicsElectric power systemMatrix polynomialApplied mathematicsDefective matrix

摘要: The linearized differential equations describing the dynamics of an electrical power system are developed in polynomial matrix form. This reduces number variables from state variable form equations, keeping only those appearing at interface between generating units and transmission system. Algorithms described which allow eigenvalues to be assigned a this form, eigenvectors approximate desired set eigenvectors. An example problem forming reduced order model is given.

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