| 引用本文: | 肖峻,蔡仲伟.配电网的最小供电能力：定义、模型、求解和应用[J].电力自动化设备,2024,44(2):34-41. |
| XIAO Jun,CAI Zhongwei.Minimum total supply capability for distribution network: definition, model, solution and application[J].Electric Power Automation Equipment,2024,44(2):34-41. |
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| 摘要: |
| 最小供电能力是最大供电能力的对偶指标，它们分别位于供电能力曲线的最低点和最高点。提出最小供电能力的定义、数学模型、求解方法和应用方法。建立最小供电能力的数学模型，它是严格安全边界上以总负荷最小为目标函数的线性规划模型；提出基于最大冗余方程的求解方法，以得到达到最小供电能力时的工作点，针对每个取得最小供电能力的边界，该方法将冗余量等于最大冗余的约束添加到边界约束中，形成最大冗余方程，通过求解该方程得到边界上最小供电能力点的表达式；对所有的最小供电能力点表达式取并集得到最终结果。算例结果验证了所提模型和方法的正确性。 |
| 关键词: 最小供电能力 最大供电能力 供电能力曲线 数学模型 求解方法 配电网 |
| DOI：10.16081/j.epae.202307008 |
| 分类号: |
| 基金项目:国家自然科学基金资助项目(51877144) |
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| Minimum total supply capability for distribution network: definition, model, solution and application |
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XIAO Jun, CAI Zhongwei
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Key Laboratory of Smart Grid of Ministry of Education, Tianjin University, Tianjin 300072, China
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| Abstract: |
| The minimum total supply capability is the dual index of the maximum total supply capability, they are respectively located at the lowest point and the highest point of total supply capability curve. The definition, mathematical model, solution method, and application method of minimum total supply capability are proposed. The mathematical model of minimum total supply capability is established, which is a linear programming model with the minimum total load on the strict security boundary as the objective function. A solution method based on the maximum redundancy equation is proposed for obtaining the working points with the minimum total supply capability. Aiming at each boundary with minimum total supply capability, the method adds the constraints that the redundancy equals to the maximum redundancy into the boundary constraints for forming the maximum redundancy equation, and the expressions of minimum total supply capability points on each boundary are obtained by solving the equation. The final result is obtained by the union of all the expressions of minimum total supply capability points. The correctness of the proposed model and method is verified by the example results. |
| Key words: minimum total supply capability maximum total supply capability total supply capability curve mathematical model solution method distribution network |
