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

Wei-Tzer Huang, Kai-Chao Yao, Ming-Ku Chen, Feng-Ying Wang, Cang-Hui Zhu, Yung-Ruei Chang, Yih- Der Lee and Yuan-Hsiang Ho
Additional contact information
Wei-Tzer Huang: Department of Industrial Education and Technology, National Changhua University of Education, No. 2, Shida Rd., Changhua 500, Taiwan
Kai-Chao Yao: Department of Industrial Education and Technology, National Changhua University of Education, No. 2, Shida Rd., Changhua 500, Taiwan
Ming-Ku Chen: Department of Industrial Education and Technology, National Changhua University of Education, No. 2, Shida Rd., Changhua 500, Taiwan
Feng-Ying Wang: Department of Industrial Education and Technology, National Changhua University of Education, No. 2, Shida Rd., Changhua 500, Taiwan
Cang-Hui Zhu: Department of Industrial Education and Technology, National Changhua University of Education, No. 2, Shida Rd., Changhua 500, Taiwan
Yung-Ruei Chang: The Institute of Nuclear Energy Research, 1000 Wenhua Rd., Jiaan Village, Longtan Dist., Taoyuan City 325, Taiwan
Yih- Der Lee: The Institute of Nuclear Energy Research, 1000 Wenhua Rd., Jiaan Village, Longtan Dist., Taoyuan City 325, Taiwan
Yuan-Hsiang Ho: The Institute of Nuclear Energy Research, 1000 Wenhua Rd., Jiaan Village, Longtan Dist., Taoyuan City 325, Taiwan

Energies, 2018, vol. 11, issue 2, 1-19

Abstract: 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.

Keywords: transmission loss; incremental transmission loss; economic dispatch; loss formula; B -coefficient method; power flow (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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