Electric Power ›› 2025, Vol. 58 ›› Issue (10): 82-96.DOI: 10.11930/j.issn.1004-9649.202507034
• Flexible Operation and Planning of Low-Carbon and High-Reliability Distribution Networks • Previous Articles Next Articles
LIAO Jian(
), ZHANG Yao(
), ZHANG Beixi, DONG Haomiao, LI Jiaxing, SUN Qianhao
Received:2025-07-20
Online:2025-10-23
Published:2025-10-28
Supported by:LIAO Jian, ZHANG Yao, ZHANG Beixi, DONG Haomiao, LI Jiaxing, SUN Qianhao. A Robust Joint Planning Method for Soft Open Points and Energy Storage Systems in AC/DC Hybrid Distribution Networks Considering Electric Vehicle Demand Response[J]. Electric Power, 2025, 58(10): 82-96.
| 安装设备 | 安装位置 | 安装容量/kW | ||
| 风电机组 | 34, 35, 67 | |||
| 光伏机组 | 32, 45, 46, 65 | |||
| 电动汽车充电站 | 15, 25, 27, 63 | 150, 500, 900, 900 |
Table 1 Parameters of distributed generation and charging stations
| 安装设备 | 安装位置 | 安装容量/kW | ||
| 风电机组 | 34, 35, 67 | |||
| 光伏机组 | 32, 45, 46, 65 | |||
| 电动汽车充电站 | 15, 25, 27, 63 | 150, 500, 900, 900 |
| 方 案 | 年综合 收益 | 售电 收入 | 安装投 资成本 | 运维 成本 | 购电 费用 | 切负荷 费用 | 弃风弃 光费用 | 损耗 费用 | ||||||||
| 1 | 0 | 0 | 409.29 | 329.50 | 2.07 | 63.33 | ||||||||||
| 2 | 11.41 | 12.26 | 426.59 | 0 | 3.18 | 23.98 | ||||||||||
| 3 | 65.60 | 13.30 | 347.02 | 220.15 | 0 | 66.93 | ||||||||||
| 4 | 63.86 | 21.32 | 355.63 | 0 | 0 | 26.82 | ||||||||||
| 5 | 61.81 | 20.96 | 372.29 | 0 | 0 | 28.45 |
Table 2 Economic benefits of five different planning schemes 单位:万元
| 方 案 | 年综合 收益 | 售电 收入 | 安装投 资成本 | 运维 成本 | 购电 费用 | 切负荷 费用 | 弃风弃 光费用 | 损耗 费用 | ||||||||
| 1 | 0 | 0 | 409.29 | 329.50 | 2.07 | 63.33 | ||||||||||
| 2 | 11.41 | 12.26 | 426.59 | 0 | 3.18 | 23.98 | ||||||||||
| 3 | 65.60 | 13.30 | 347.02 | 220.15 | 0 | 66.93 | ||||||||||
| 4 | 63.86 | 21.32 | 355.63 | 0 | 0 | 26.82 | ||||||||||
| 5 | 61.81 | 20.96 | 372.29 | 0 | 0 | 28.45 |
| 方 案 | DESS安装结果 | SOP安装结果 | ||||||||
| 安装节 点位置 | 安装容量/ (MW·h) | 安装功率/ MW | 安装线 路位置 | 安装容量/ (MV·A) | ||||||
| 2 | (2, 19) (35, 61) (46, 60) | 0.32, 0.64, 0.16 | ||||||||
| 3 | 2, 3, 20, 46, 64, 65 | 2.7, 2.4, 0.3, 2.7, 0.9, 0.3 | 0.5, 0.5, 0.2, 0.5, 0.25, 0.1 | |||||||
| 4 | 2, 46, 64 | 2.7, 2.7, 2.4 | 0.5, 0.5, 0.5 | (46, 19), (35, 61) | 0.32, 0.64 | |||||
| 5 | 2, 46, 65 | 2.7, 2.7, 2.1 | 0.5, 0.5, 0.45 | (46, 19), (35, 61) | 0.32, 0.64 | |||||
Table 3 Installation results of DESS and SOP
| 方 案 | DESS安装结果 | SOP安装结果 | ||||||||
| 安装节 点位置 | 安装容量/ (MW·h) | 安装功率/ MW | 安装线 路位置 | 安装容量/ (MV·A) | ||||||
| 2 | (2, 19) (35, 61) (46, 60) | 0.32, 0.64, 0.16 | ||||||||
| 3 | 2, 3, 20, 46, 64, 65 | 2.7, 2.4, 0.3, 2.7, 0.9, 0.3 | 0.5, 0.5, 0.2, 0.5, 0.25, 0.1 | |||||||
| 4 | 2, 46, 64 | 2.7, 2.7, 2.4 | 0.5, 0.5, 0.5 | (46, 19), (35, 61) | 0.32, 0.64 | |||||
| 5 | 2, 46, 65 | 2.7, 2.7, 2.1 | 0.5, 0.5, 0.45 | (46, 19), (35, 61) | 0.32, 0.64 | |||||
| 0.200 | ||||||
| 0.500 | ||||||
| 0.999 |
Table 4 Annual income under different disturbance radii 单位:万元
| 0.200 | ||||||
| 0.500 | ||||||
| 0.999 |
| 模型 | 年综合 收益 | 售电 收入 | 安装投 资成本 | 运维 成本 | 购电 费用 | 切负荷 费用 | 弃电 费用 | 损耗 费用 | ||||||||
| 所提模型 | 63.86 | 21.32 | 355.63 | 0 | 0 | 26.82 | ||||||||||
| 随机规划 | 55.46 | 19.90 | 373.14 | 0 | 0 | 29.62 | ||||||||||
| 传统鲁棒 | 66.71 | 27.95 | 434.78 | 0 | 0 | 19.73 |
Table 5 Economic benefits of different schemes 单位:万元
| 模型 | 年综合 收益 | 售电 收入 | 安装投 资成本 | 运维 成本 | 购电 费用 | 切负荷 费用 | 弃电 费用 | 损耗 费用 | ||||||||
| 所提模型 | 63.86 | 21.32 | 355.63 | 0 | 0 | 26.82 | ||||||||||
| 随机规划 | 55.46 | 19.90 | 373.14 | 0 | 0 | 29.62 | ||||||||||
| 传统鲁棒 | 66.71 | 27.95 | 434.78 | 0 | 0 | 19.73 |
| 模型 | 典型场景 | 极端场景 | ||||||
| 年综合收益/ 万元 | 日弃电量/ (MW·h) | 年综合收益/ 万元 | 日弃电量/ (MW·h) | |||||
| 所提模型 | ||||||||
| 随机规划 | ||||||||
| 传统鲁棒 | ||||||||
Table 6 Comparison of economic performance and renewable energy curtailment among various models
| 模型 | 典型场景 | 极端场景 | ||||||
| 年综合收益/ 万元 | 日弃电量/ (MW·h) | 年综合收益/ 万元 | 日弃电量/ (MW·h) | |||||
| 所提模型 | ||||||||
| 随机规划 | ||||||||
| 传统鲁棒 | ||||||||
| 测试系统 | 所提模型耗时/s | 分布鲁棒模型耗时/s | ||||
| 15节点系统 | 主问题 | 8、16、25 | 182、 | |||
| 子问题 | 7、7、7 | 4、4 | ||||
| 33节点系统 | 主问题 | 14、541、106 | 316、 | |||
| 子问题 | 16、16、16 | 9、9 | ||||
| 69节点系统 | 主问题 | 297、377、839 | ||||
| 子问题 | 54、66、47 | 13、NaN | ||||
Table 7 Comparison of solution time between two models
| 测试系统 | 所提模型耗时/s | 分布鲁棒模型耗时/s | ||||
| 15节点系统 | 主问题 | 8、16、25 | 182、 | |||
| 子问题 | 7、7、7 | 4、4 | ||||
| 33节点系统 | 主问题 | 14、541、106 | 316、 | |||
| 子问题 | 16、16、16 | 9、9 | ||||
| 69节点系统 | 主问题 | 297、377、839 | ||||
| 子问题 | 54、66、47 | 13、NaN | ||||
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