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# Derivation and Application of a New Transmission Loss Formula for Power System Economic Dispatch

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Department of Industrial Education and Technology, National Changhua University of Education, No. 2, Shida Rd., Changhua 500, Taiwan
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The Institute of Nuclear Energy Research, 1000 Wenhua Rd., Jiaan Village, Longtan Dist., Taoyuan City 325, Taiwan
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Authors to whom correspondence should be addressed.
Energies 2018, 11(2), 417; https://doi.org/10.3390/en11020417
Received: 31 December 2017 / Revised: 29 January 2018 / Accepted: 7 February 2018 / Published: 11 February 2018
(This article belongs to the Section A: Electrical Engineering)
The expression and calculation of transmission loss (TL) play key roles for solving the power system economic dispatch (ED) problem. ED including TL must compute the total TL and incremental transmission loss (ITL) by executing power flow equations. However, solving the power flow equations is time-consuming and may result in divergence by the iteration procedure. This approach is unsuitable for real-time ED in practical power systems. To avoid solving nonlinear power flow equations, most power companies continue to adopt the TL formula in ED. Traditional loss formulas are composed of network parameters and in terms of the generator’s real power outputs. These formulas are derived by several assumptions, but these basic assumptions sacrifice accuracy. In this study, a new expression for the loss formula is proposed to improve the shortcomings of traditional loss formulas. The coefficients in the new loss formula can be obtained by recording the power losses according to varying real and reactive power outputs without any assumptions. The simultaneous equations of the second-order expansion of the Taylor series are then established. Finally, the corresponding coefficients can be calculated by solving the simultaneous equations. These new coefficients can be used in optimal real and reactive power dispatch problems. The proposed approach is tested by IEEE 14-bus and 30-bus systems, and the results are compared with those obtained from the traditional B coefficient method and the load flow method. The numerical results show that the proposed new loss formula for ED can hold high accuracy for different loading conditions and is very suitable for real-time applications. View Full-Text
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MDPI and ACS Style

Huang, W.-T.; Yao, K.-C.; Chen, M.-K.; Wang, F.-Y.; Zhu, C.-H.; Chang, Y.-R.; Lee, Y.-D.; Ho, Y.-H. Derivation and Application of a New Transmission Loss Formula for Power System Economic Dispatch. Energies 2018, 11, 417. https://doi.org/10.3390/en11020417

AMA Style

Huang W-T, Yao K-C, Chen M-K, Wang F-Y, Zhu C-H, Chang Y-R, Lee Y-D, Ho Y-H. Derivation and Application of a New Transmission Loss Formula for Power System Economic Dispatch. Energies. 2018; 11(2):417. https://doi.org/10.3390/en11020417

Chicago/Turabian Style

Huang, Wei-Tzer, Kai-Chao Yao, Ming-Ku Chen, Feng-Ying Wang, Cang-Hui Zhu, Yung-Ruei Chang, Yih-Der Lee, and Yuan-Hsiang Ho. 2018. "Derivation and Application of a New Transmission Loss Formula for Power System Economic Dispatch" Energies 11, no. 2: 417. https://doi.org/10.3390/en11020417

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