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An adaptive sampling technique to correct large passivity violations

Porkar, B ; Sharif University of Technology | 2008

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  1. Type of Document: Article
  2. Publisher: 2008
  3. Abstract:
  4. Rational functions for approximation of the admittance matrix elements of a linear power system/component are used to increase the computational efficiency for the analysis of electromagnetic transients. The challenge in this regard is passivity enforcement of the resultant model to guarantee numerical stability of the analyses. The main cause of passivity violation of the equivalent model of a passive system/ component, in a specific frequency region, is the selection of unsuitable and/or insufficient number of frequency samples for fitting. The more severe the passivity violations are, the more effort is required to enforce passivity. This paper presents an adaptive sampling technique for passivity enforcement as a postprocessing tool. This approach can effectively correct large passivity violations. Based on this method a nonpassive region is identified via a pure algebraic method exploiting the existence of pure imaginary eigenvalues in the Hamiltonian matrix of the system state space equations. A bisection method is employed to determine the adaptive frequency samples which are added to the existing samples in a refitting process. The proposed method is applied to correct passivity violation of the admittance model of a two winding transformer. © 2008 Australasian Universities Power Engineering Conference (AUPEC'08)
  5. Keywords:
  6. Adaptive frequency ; Adaptive sampling ; Adaptive sampling technique ; Admittance matrices ; Algebraic method ; Bisection method ; Eigenvalues ; Electro-magnetic transient ; Equivalent model ; Hamiltonian matrix ; Large passivity violations ; Numerical stabilities ; Passivity enforcement ; Rational function ; Specific frequencies ; System state ; Two winding transformer ; Computational efficiency ; Convergence of numerical methods ; Function evaluation ; Hamiltonians ; Matrix algebra ; Meats ; Transformer windings ; Transients ; Passivation
  7. Source: 2008 Australasian Universities Power Engineering Conference, AUPEC 2008, Sydney, NSW, 14 December 2008 through 17 December 2008 ; 2008 ; 9781424441624 (ISBN)
  8. URL: https://ieeexplore.ieee.org/document/4813086