Estimation and Allocation of Reactive Power Loss in Interconnected Power Systems Through Network Structural Characterist
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RESEARCH ARTICLE-ELECTRICAL ENGINEERING
Estimation and Allocation of Reactive Power Loss in Interconnected Power Systems Through Network Structural Characteristics Theory A. S. Alayande1
· I. K. Okakwu2 · O. E. Olabode3 · C. C. Ike4 · A. A. Makinde1
Received: 29 December 2019 / Accepted: 17 September 2020 © King Fahd University of Petroleum & Minerals 2020
Abstract The mathematical formulations for estimating and allocating reactive power loss to network participants are highly nonlinear and mathematically complex. Consequently, the well-known solution based on traditional techniques could only be obtained through iterative procedures. An alternative computational algorithm based on network structural characteristics theory (NSCT), which provides an efficient solution to estimation of reactive power loss contributions from various network sources and the allocation of the estimated losses in pool-based markets, is proposed in this paper. The theoretical background and mathematical formulations of the approach, which solely based on basic circuit theory laws, are presented. From the first principle, the problem is formulated as a linear combination of the network parameters, which eliminates the challenges encountered in the traditional iterative-based approaches. Based on NSCT, a constant coefficient matrix termed Network Structure Coefficient Matrix (NSCM) is then introduced. The reactive power loss contributions, by each source toward individual sink, are then determined based on the NSCM developed. Total reactive power loss for the network based on the developed NSCM is also estimated. The effectiveness of the technique is verified using a simple 3-bus system, a 5-bus network and the standard IEEE 57-bus network. The results obtained using various traditional AC power-flow-based methods and that of the proposed approach are compared. The comparison of results clearly demonstrated that the efficient solution to reactive power loss estimation and allocation can be easily obtained based on the topological properties of the network without carrying out the repetitive and time-consuming power-flow analysis. Keywords Power-flow · Network structural characteristics theory · Network structure coefficient matrix · Reactive power loss estimation · Reactive power loss allocation · Sparsity characteristics
1 Introduction The restructuring of electric power grids around the globe has brought about new challenges in the operation of power systems [1–3]. In a deregulated economy, a call for the support of ancillary services is highly required for efficient power system operation [4, 5]. The major challenge is therefore how
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A. S. Alayande [email protected]
1
Department of Electrical and Electronics Engineering, University of Lagos, Lagos, Nigeria
2
Department of Electrical and Electronics Engineering, Olabisi Onabanjo University, Ago-Iwoye, Nigeria
3
Department of Electrical, Electronic and Computer Engineering, Bells University of Technology, Ota, Nigeria
4
Department of Electrical and Electron
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