断面安全约束下发电可行域解析建模研究Analytical modeling study of feasible regions for power generation under crosssection safety constraints
章昊,王正风,周星宇,潘学萍,苏乐
ZHANG Hao,WANG Zhengfeng,ZHOU Xingyu,PAN Xueping,SU Le
摘要(Abstract):
针对现有发电可行域逐点搜索方法存在计算量大、耗时长等问题,提出了发电可行域的解析建模新方法。首先,分析了现有断面安全约束下发电可行域的构建流程,研究了发电可行域的边界特性。其次,基于数学推导,发现发电可行域边界敏感机群出力与系统负荷之间存在的线性关系。接着,根据该线性关系提出了发电可行域边界的解析建模方法。然后,针对平衡机群出力越限的场景,提出发电可行域边界分段线性化建模的方法。最后,以某省级电网为例,计算了不同关键断面安全约束下发电可行域的边界,并与现有逐点搜索方法进行对比,验证了所提方法的有效性。
Given the huge calculation burden and long-time consumption of the existing point-to-point feasible region search method,a new analytical modeling method of feasible regions for power generation is proposed in this paper. Firstly,the construction process of feasible regions for power generation under cross-section safety constraints is introduced,and the boundary characteristics of the feasible regions are analyzed. Secondly,it is deduced mathematically that there is a linear relationship between the output of sensitive generators and the system load at the boundary of the feasible region. An analytical modeling method for the feasible region boundary is proposed based on the linear relationship. Afterwards,when the output power of balanced generators exceeds their limits,a piecewise linear modeling method for the feasible region boundary is introduced. Finally,with a provincial power grid as an example,the feasible region boundary under different cross-section safety constraints is calculated,and the effectiveness of the proposed method is verified through comparison with the existing point-by-point search method.
关键词(KeyWords):
月度安全校核;关键断面;灵敏度;发电可行域边界;解析建模
monthly security check;key cross-section;sensitivity;feasible region boundary for generation;analytical modeling
基金项目(Foundation): 国家自然科学基金项目(52077061)
作者(Author):
章昊,王正风,周星宇,潘学萍,苏乐
ZHANG Hao,WANG Zhengfeng,ZHOU Xingyu,PAN Xueping,SU Le
DOI: 10.19585/j.zjdl.202210007
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- 月度安全校核
- 关键断面
- 灵敏度
- 发电可行域边界
- 解析建模
monthly security check - key cross-section
- sensitivity
- feasible region boundary for generation
- analytical modeling