Bi-Level Optimal Planning of Voltage Regulator in Distribution Systems Considering Maximization of Incentive-Based Photovoltaic Energy Integration

Xu Xu; Youwei Jia; Chun Sing Lai; Minghao Wang; Zhao Xu

doi:10.17775/CSEEJPES.2020.01230

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Bi-Level Optimal Planning of Voltage Regulator in Distribution Systems Considering Maximization of Incentive-Based Photovoltaic Energy Integration

Regular Papers | 更新时间：2026-10-15

- Bi-Level Optimal Planning of Voltage Regulator in Distribution Systems Considering Maximization of Incentive-Based Photovoltaic Energy Integration
- CSEE Journal of Power and Energy Systems Vol. 9, Issue 6, Pages: 2008-2017(2023)
- 作者机构：
  
  1. Department of Electrical and Electronic Engineering, Southern University of Science and Technology,Shenzhen,China
  2. Department of Electrical Engineering, The Hong Kong Polytechnic University, Hung Hom,Hong Kong SAR,China
  3. Department of Electrical and Electronic Engineering, University Key Laboratory of Advanced Wireless Communications of Guangdong Province, Southern University of Science and Technology,Shenzhen,China
  4. Department of Electronic and Computer Engineering, Brunel Institute of Power Systems, Brunel University London, London, United Kingdom
  5. Department of Electrical Engineering, Shenzhen Research Institute, The Hong Kong Polytechnic University, Hung Hom,Hong Kong SAR,China
- 作者简介：
- 基金信息：
- DOI：10.17775/CSEEJPES.2020.01230
  CLC：
- Published：01 November 2023
- 稿件说明：
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Xu Xu, Youwei Jia, Chun Sing Lai, et al. Bi-Level Optimal Planning of Voltage Regulator in Distribution Systems Considering Maximization of Incentive-Based Photovoltaic Energy Integration[J]. CSEE Journal of Power and Energy Systems, 2023, 9(6): 2008-2017.
DOI：

Xu Xu, Youwei Jia, Chun Sing Lai, et al. Bi-Level Optimal Planning of Voltage Regulator in Distribution Systems Considering Maximization of Incentive-Based Photovoltaic Energy Integration[J]. CSEE Journal of Power and Energy Systems, 2023, 9(6): 2008-2017. DOI： 10.17775/CSEEJPES.2020.01230.

摘要

Abstract

This paper focuses on optimal voltage regulator (VR) planning to maximize the photovoltaic (PV) energy integration in distribution grids. To describe the amount of dynamic PV energy that can be integrated into the power system

the concept of PV accommodation capability (PVAC) is introduced and modeled with optimization. Our proposed planning model is formulated as a Benders decomposition based bi-level stochastic optimization problem. In the upper-level problem

VR planning decisions and PVAC are determined via mixed integer linear programming (MILP) before considering uncertainty. Then in the lower-level problem

the feasibility of first-level results is checked by critical network constraints (e.g. voltage magnitude constraints and line capacity constraints) under uncertainties considered by time-varying loads and PV generations. In this paper

these uncertainties are represented in the form of operational scenarios

which are generated by the Gaussian copula theory and reduced by a well-studied backward-reduction algorithm

The modified IEEE 33-node distribution grid is utilized to verify the effectiveness of the proposed model. The results demonstrate that a PV energy integration can be significantly enhanced after optimal voltage regulator planning.

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