| 引用本文: | 刘琪,王天资,王丽娜,等.基于积分型线性二次最优控制的直流配电网优化控制方法[J].电力系统保护与控制,2026,54(11):61-71. |
| LIU Qi,WANG Tianzi,WANG Lina,et al.Optimal control method for DC distribution networks based on integral linear quadratic optimal control[J].Power System Protection and Control,2026,54(11):61-71 |
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| 摘要: |
| 直流配电系统中换流器数量多，协调控制困难。传统全局优化算法计算速度慢，难以满足换流器实时控制的需求，无法快速应对负荷和新能源出力变化造成的电压偏移与换流器负载不均衡问题。针对直流配电网中多换流器全局优化与实时控制分离的问题，提出一种基于积分型线性二次最优控制的直流配电网多换流器协同优化控制方法，将复杂的全局优化问题转化为快速的实时追踪控制问题。首先，构建了以电压恢复和换流器间负载均衡为目标的多换流器多目标优化模型，应用极小值原理确定系统最优运行工作点。其次，建立了基于线性潮流的积分型线性二次最优控制模型，通过求解代数 Riccati 方程离线获得最优反馈增益与积分增益，并在线进行快速实时控制。最后，在 PSCAD/EMTDC 平台上进行仿真验证。结果表明，所提控制方法通过 2 次控制便能使系统收敛至全局最优工作点，显著降低节点电压偏差与换流器负载不均程度。 |
| 关键词: 直流配电系统 线性二次最优控制 电压恢复 负载均衡 |
| DOI：10.19783/j.cnki.pspc.251194 |
| 分类号: |
| 基金项目:国家自然科学基金项目资助 (52307115)；山东自然科学基金项目资助 (ZR2023QE238) |
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| Optimal control method for DC distribution networks based on integral linear quadratic optimal control |
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LIU Qi1, WANG Tianzi1, WANG Lina2, ZHANG Xiao1, CHEN He3, WANG Shiyou1
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1. College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China; 2. Shengli Inspection Center of Sinopec, Dongying 257000, China; 3. Coal Science (Beijing) Test Technology Co., Ltd., Beijing 102604, China
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| Abstract: |
| In DC distribution networks, a large number of converters lead to significant challenges in coordinated control. Traditional global optimization algorithms suffer from slow computational speeds and cannot meet the real-time converter control requirements, making it difficult to quickly respond to voltage deviations and converter load imbalances caused by fluctuations in load and renewable energy output. To address the decoupling problem between global optimization and real-time control for multiple converters in DC distribution networks, a coordinated optimal control method based on integral linear quadratic optimal control is proposed, which transforms the complex global optimization problem into a fast real-time tracking control task. First, a multi-objective optimization model for DC distribution networks is established, aiming at voltage restoration and load balancing among converters. By applying the principle of minimum, the optimal operating point of the system is determined. Second, an integral linear quadratic optimal control model is established based on the linear power flow of DC distribution networks. By solving the algebraic Riccati equation offline, optimal feedback and integral gains are obtained, enabling fast real-time control online. Finally, it is simulated and verified on the PSCAD/EMTDC platform. The results demonstrate that the proposed control method enables the system to rapidly converge to the globally optimal operating point within two control cycles, significantly reducing node voltage deviations and converter load imbalance. |
| Key words: DC distribution network linear quadratic optimal control voltage recovery power balance |
