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Stability analysis of a non-Park-transformable electrical machine model

Author

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  • Bhathena, Firdaus
  • Verghese, George C.
  • Poloujadoff, Michel

Abstract

The stability properties of a linear or linearized, periodically-varying model of an electrical machine can be studied as a function of speed via direct computation of the monodromy matrix, from which the characteristic exponents can be determined. The machine used as an example in this paper is the nonsalient-pole damped alternator described in [1], and also used as an example in [2]. The characteristic exponents are obtained in [1] by a completely different method. Although round-off error interferes with the computation of the fast (and hence rather unimportant) exponents at very low speeds, the monodromy computation provides a straightforward method for determining the characteristic exponents of the periodically-varying system. A conjecture in [2] on the asymptotes of the exponents in the low-speed limit is proved and extended here, and results in [2] on the high-speed limit are reformulated in the setting of classical averaging theory.

Suggested Citation

  • Bhathena, Firdaus & Verghese, George C. & Poloujadoff, Michel, 1995. "Stability analysis of a non-Park-transformable electrical machine model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 38(4), pages 453-463.
    • Handle: RePEc:eee:matcom:v:38:y:1995:i:4:p:453-463
    DOI: 10.1016/0378-4754(95)00054-2
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