为解决规模化光伏电站内部引发的电压越限问题,提出一种基于增强型双层交替方向乘子法的系统电压分布式非凸优化方法。首先,该方法建立包含非线性Distflow潮流约束的规模化光伏电站系统电压非凸优化模型;其次,在传统交替方向乘子法的基础上,提出内、外层嵌套循环的增强型双层交替方向乘子法,用于分布式求解电压非凸优化模型。增强型双层交替方向乘子法克服了传统交替方向乘子法求解非凸优化问题时存在的收敛性差和精度不足问题,能够为规模化光伏电站提供更优的系统电压调控结果。基于典型规模化光伏电站系统算例的验证表明：在求解系统非凸优化问题时,增强型双层交替方向乘子法的最优性显著优于传统交替方向乘子法,平均误差降低幅度达0.17%以上;其在高精度残差阈值条件下的收敛性也具有明显优势,所得电压优化结果可有效保障光伏电站系统电压安全。
Abstract
To address voltage limit violations caused internally in large-scale photovoltaic （PV） power stations, this paper proposes a distributed non-convex optimization method for system voltage based on an enhanced two-level alternating direction method of multipliers （E-TL-ADMM）. First, the method establishes a non-convex voltage optimization model for large-scale PV systems, incorporating nonlinear Distflow power flow constraints. Second, by introducing a nested inner and outer loop structure, the E-TL-ADMM overcomes the limitations of traditional ADMM, such as poor convergence and insufficient accuracy, to achieve superior voltage control results. Validation based on a typical large-scale PV power station case demonstrates that： when solving the system non-convex optimization problem, the E-TL-ADMM significantly outperforms the traditional ADMM in optimality with average error reduction exceeding 0.17%; it also exhibits clear convergence advantages under high-accuracy residual threshold conditions, with optimized voltage results effectively ensuring PV station system voltage safety.
关键词
光伏发电 /
电压控制 /
非线性系统 /
增强型双层交替方向乘子法
Key words
photovoltaic power /
voltage control /
nonlinear systems /
enhanced two-level alternating direction method of multipliers
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参考文献
[1] 栗峰, 丁杰, 周才期, 等. 新型电力系统下分布式光伏规模化并网运行关键技术探讨[J]. 电网技术, 2024, 48(1): 184-196.
Li F, Ding J, Zhou C Q, et al.Key technologies of large-scale grid-connected operation of distributed photovoltaic under new-type power system[J]. Power System Technology, 2024, 48(1): 184-196.
[2] 张建坡, 柴欣茹, 高本锋, 等. 光伏汇集系统电压不平衡影响因素及机理分析[J]. 太阳能学报, 2024, 45(12): 67-76.
Zhang J P, Chai X R, Gao B F, et al.Analysis of influencing factors and mechanism of photovoltaic collection system voltage imbalance[J]. Acta Energiae Solaris Sinica, 2024, 45(12): 67-76.
[3] 陈泽雄, 张新民, 王雪锋, 等. 分布式光伏电站接入配电网的分布鲁棒优化配置方法[J]. 电力系统保护与控制, 2021, 49(13): 30-42.
Chen Z X, Zhang X M, Wang X F, et al.A distributionally robust optimal allocation method for distributed photovoltaic generation stations integrated into a distribution network[J]. Power System Protection and Control, 2021, 49(13): 30-42.
[4] 欧奕昊, 姜彤, 张一航, 等. 考虑变流器无功调节特性的含高比例分布式光伏配电网电压控制方法[J]. 电力系统保护与控制, 2024, 52(20): 105-118.
Ou Y H, Jiang T, Zhang Y H, et al.Voltage regulation method for a distribution network with high-penetration of distributed photovoltaic energy considering a converter’s reactive power regulation characteristics[J]. Power System Protection and Control, 2024, 52(20): 105-118.
[5] 邹文斌, 韩松, 荣娜, 等. 基于分布式共识协同的光伏逆变器电压控制策略研究[J]. 电力系统保护与控制, 2024, 52(1): 166-173.
Zou W B, Han S, Rong N, et al.Voltage control strategy for a PV inverter based on distributed consensus collaboration[J]. Power System Protection and Control, 2024, 52(1): 166-173.
[6] 陈众, 徐翼, 吴辅朝, 等. 基于光伏消纳能力模拟评估的配电网最优消纳方案规划选择[J]. 电网技术, 2023, 47(3): 1179-1187.
Chen Z, Xu Y, Wu F C, et al.Selection of optimal distribution planning based on simulation of photovoltaic absorption capacity[J]. Power System Technology, 2023, 47(3): 1179-1187.
[7] Babu K R, Khatod D K.Smart inverter-based distributed volt/var control for voltage violation mitigation of unbalanced distribution networks[J]. IEEE Transactions on Power Delivery, 2024, 39(3): 1481-1490.
[8] Guo Q L, Sun H B, Wang B, et al.Hierarchical automatic voltage control for integration of large-scale wind power: Design and implementation[J]. Electric Power Systems Research, 2015, 120: 234-241.
[9] Li H X, Zhou L, Mao M X, et al.Three-layer voltage/var control strategy for PV cluster considering steady-state voltage stability[J]. Journal of Cleaner Production, 2019, 217: 56-68.
[10] 李宗隆, 柏舸, 胡剑, 等. 考虑光热光伏混合电站内外双重电压安全的两阶段无功优化控制[J]. 电力系统保护与控制, 2023, 51(20): 170-179.
Li Z L, Bai G, Hu J, et al.Two-stage optimal reactive power control considering internal-external dual voltage security of a PV-CSP hybrid power station[J]. Power System Protection and Control, 2023, 51(20): 170-179.
[11] 王渝红, 廖逸犇, 宋雨妍, 等. 风电场内部分散式无功电压优化控制策略[J]. 高电压技术, 2022, 48(12): 5047-5056.
Wang Y H, Liao Y B, Song Y Y, et al.Distributed optimal control strategy of reactive power and voltage in wind farm[J]. High Voltage Engineering, 2022, 48(12): 5047-5056.
[12] Huang S, Wu Q W, Zhao J, et al.Distributed optimal voltage control for VSC-HVDC connected large-scale wind farm cluster based on analytical target cascading method[J]. IEEE Transactions on Sustainable Energy, 2020, 11(4): 2152-2161.
[13] Li H X, Guo K, Hao G F, et al.Decentralized communication based two-tier volt-var control strategy for large-scale centralized photovoltaic power plant[J]. IEEE Transactions on Sustainable Energy, 2022, 13(1): 592-606.
[14] Huang J B, Li Z G, Wu Q H.Fully decentralized multiarea reactive power optimization considering practical regulation constraints of devices[J]. International Journal of Electrical Power & Energy Systems, 2019, 105: 351-364.
[15] Sun K Z, Sun X A.A two-level ADMM algorithm for AC OPF with global convergence guarantees[J]. IEEE Transactions on Power Systems, 2021, 36(6): 5271-5281.
[16] Makhdoumi A, Ozdaglar A.Convergence rate of distributed ADMM over networks[J]. IEEE Transactions on Automatic Control, 2017, 62(10): 5082-5095.
[17] Sun X Z, Qiu J, Tao Y C, et al.Distributed optimal voltage control and berth allocation of all-electric ships in seaport microgrids[J]. IEEE Transactions on Smart Grid, 2022, 13(4): 2664-2674.
[18] Niu L, Tan L F, Tao X H, et al.Deep image harmonization with globally guided feature transformation and relation distillation[C]//2023 IEEE/CVF International Conference on Computer Vision (ICCV). Paris, France, 2024: 7689-7698.
基金
重庆市自然科学基金面上项目（CSTB2022NSCQ-MSX0997）; 重庆市教委基础研究青年项目（KJQN202201153）
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