考虑开关重构与需求响应的配电网分布鲁棒优化运行

doi:10.12204/j.issn.1000-7229.2023.06.011

摘要/Abstract

摘要：

在高比例分布式光伏接入的背景下,给配电网运行的经济性与安全性带来了新的挑战。建立了考虑开关重构与需求响应的配电网分布鲁棒优化运行模型。首先,以配电网每日运行成本最小为优化目标,同时考虑开关重构与价格型需求响应,得到配电网拓扑结构优化方案与运行方案。其次,利用光伏历史出力数据,通过聚类获取典型场景与其概率分布,采用1-范数与∞-范数约束不确定性概率分布置信区间,建立数据驱动的分布鲁棒两阶段优化模型。最后,通过修改的IEEE 33节点系统,基于列与约束生产算法(column-and-constraint generation, CCG)利用Cplex求解器进行求解,验证了模型的可行性。

关键词: 开关重构, 需求响应, 配电网运行, 分布鲁棒优化

Abstract:

Under the connection of high-penetration distributed photovoltaic generation, new challenges face the economic and safe operation of distribution networks. In this study, a distributionally robust optimization model considering switch reconfiguration and demand response was established to optimize the operation of a distribution network. First, considering switch reconfiguration and price-based demand response, topology optimization and operation schedules of the distribution network were obtained with the optimization objective of minimizing daily operating cost. Second, using the historical photovoltaic (PV) output data, the typical scenarios of PV output and its probability distribution are obtained through clustering, and the 1-norm and ∞-norm are used to constrain the confidence interval of the uncertainty probability distribution, and a data-driven distributionally robust two-stage optimization model is established. Finally, with the modified IEEE 33-node system, the Cplex solver was used based on the column-and-constraint generation algorithm, and the feasibility of the model was verified.

Key words: switch reconfiguration, demand response, operation of distribution network, distributionally robust optimization

中图分类号:

TM74

舒俊霖, 刘俊勇, 高红均, 何鑫, 胡人川. 考虑开关重构与需求响应的配电网分布鲁棒优化运行[J]. 电力建设, 2023, 44(6): 101-111.

SHU Junlin, LIU Junyong, GAO Hongjun, HE Xin, HU Renchuan. Distributionally Robust Optimal Operation of Distribution Network Considering Switch Reconfiguration and Demand Response[J]. ELECTRIC POWER CONSTRUCTION, 2023, 44(6): 101-111.

图/表 14

图1 配电网开关重构示意图

Fig.1 Schematic diagram of switch reconfiguration of distribution network

图2 修改的IEEE 33节点配电系统

Fig.2 Modified IEEE 33 node power distribution system

表1 其他算例相关参数

Table 1 Related parameters

表2 不同用户价格弹性系数

Table 2 Price elasticity coefficients for different users

图3 典型日负荷曲线

Fig.3 Typical daily load curve

图4 光伏出力预测场景

Fig.4 PV output forecast scenario

图5 不同类型负荷实时电价

Fig.5 Real-time electricity prices for different types of loads

图6 需求响应前后负荷有功功率对比

Fig.6 Comparison of load active power before/after demand response

图7 是否计及需求响应时开关状态对比

Fig.7 Comparison of switch states with/without demand response

图8 不同方案下支路有功潮流分布情况

Fig.8 Distribution of branch active power flow under different cases

图9 不同方案下节点电压分布情况

Fig.9 Node voltage distribution under different cases

表3 Operation results and various costs under different cases 美元

Table 3

表4 Comparison between stochastic optimization and distributionally robust optimization methods 美元

Table 4

图10 随机优化方法下的开关状态

Fig.10 Switch states under stochastic optimization method

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