Journal of the Korean Institute of Illuminating and Electrical Installation Engineers (조명전기설비학회논문지)

The Korean Institute of IIIuminating and Electrical Installation Engineers (한국조명전기설비학회)
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On The Optimal Generation Using The Loss Sensitivities Derived by Angle Reference Transposition

손실감도를 이용한 계통손실 최적화에 대하여

  • Published : 2005.01.01
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Abstract

In this article, we apply the standard method of Lagrange multipliers to examine the algorithm in a recent IEEE publication which calculates the optimal generation for minimizing the system loss using loss sensitivities derived by angle reference transposition, and show that the two algorithms are mathematically the same.

전력계통을 효율적으로 운용하려면 관련량을 정확하고 신속히 계산하는 좋은 알고리즘이 필요하다. 최근 IEEE Transaction on Power System에 위상각 이동을 이용한 손실 최적화 알고리즘이 발표되었다. 동일한 손실최적화 문제를 본 논문에서는 Standard method of Lagrange Multiplier 기법을 적용하여 해석하였으며, 그 결과 저자들은 두 가지 방법이 수학적으로 동일함을 증명하였다.

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References

  1. Sang-Joong Lee, 'Calculation of Optimal Generation for System Loss Minimization Using Loss Sensitivities Derived by Angle Reference Transposition', IEEE Transactions on Power Systems, vol.18, no.3, Feb 2003, pp. 1216-1217 https://doi.org/10.1109/TPWRS.2003.814907
  2. Sang-Joong Lee, Kern-Joong Kim, 'Re-construction of Jacobian Matrix by Angle Reference Transposition and Application to New Penalty Factor Calculation', IEEE Power Engineering Review, vol.22, no.2, Feb 2002, pp. 47-50
  3. S. Lang, 'Linear Algebra', Addison Wesley, 2nd ed., U.S.A., 1970
  4. C. Ray Wylie, 'Advanced Engineering Mathematics', Mcgraw-Hill Inc., 4th ed., U.S.A., 1975, pp. 597