考虑复杂振动区特性的梯级水火电低碳机组组合模型与算法研究  

Research on the Model and Algorithm for the Hydro-thermal Low-carbon Unit Commitment Problem Considering Forbidden Zone Constraints

作　　者：谢敏[1,2] 何润泉 刘明波[1,2] 何知纯 赵翔宇 代江 XIE Min;HE Runquan;LIU Mingbo;HE Zhichun;ZHAO Xiangyu;DAI Jiang(School of Electric Power,South China University of Technology,Guangzhou 510640,Guangdong Province,China;Guangdong Key Laboratory of Clean Energy Technology,South China University of Technology,Guangzhou 510640,Guangdong Province,China;Power Dispatching Control Center of Guizhou Power Grid Co.,Ltd.,Guiyang 550002,Guizhou Province,China)

机构地区：[1]华南理工大学电力学院,广东省广州市510640 [2]华南理工大学广东省绿色能源技术重点实验室,广东省广州市510640 [3]贵州电网有限责任公司电力调度控制中心,贵州省贵阳市550002

出　　处：《电网技术》2023年第2期645-657,共13页Power System Technology

基　　金：广东省自然科学基金项目(2021A1515012245);中央高校基本科研业务费重大产学研合作扶持专项(x2dl D2201280)。

摘　　要：该文建立了考虑电力系统低碳运行和水电复杂振动区特性的梯级水火电系统中长期机组组合模型。以传统水火电机组组合模型为基础,引入并数学证明了根轴法构建梯级水电出力的多项式函数来模拟梯级水电厂振动区特性约束的可行性和正确性,并采用最大熵原理和凝聚函数理论实现集成化表征;接着,基于对水电振动区凝聚函数值“0-1-∞-1-0”变化特性的分析和数学证明,提出一种变换求解算法,利用多组类阶跃函数去逼近高维非线性的凝聚函数约束,提高求解效率。模型求解过程中不仅兼顾了稳定运行区和振动区的信息,而且避免了“维数灾”问题。最后以改进IEEE39节点系统和某省实际电网算例对所提模型和算法予以验证。This paper presents a hydro-thermal unit commitment model that fully considers the influence of the forbidden zone and the low-carbon operation of the power system. Furthermore, on the basis of the model, a computationally efficient mixed-integer linear programming(MILP) algorithm is established. First, inspired by the relationship between the roots of a function and its coefficients, high dimensional polynomial functions are used to simulate the forbidden zone constraints of hydropower plants. Meanwhile, coherent function(CF) is put forward to uniformly represent multiple forbidden zone constraints simulated by high dimensional polynomial functions. Then, by using groups of step functions, a transformation algorithm is proposed to approximate the high dimensional nonlinear coherent function constraints, which transforms the problem into a mixed-integer linear programming(MILP) problem and extremely improves the solve efficiency. Finally, the proposed model and algorithm are verified by the improved IEEE39 node system and a practical large-scale case.

关 键 词：梯级水火电系统 水电振动区 中长期低碳机组组合 凝聚函数 变换算法 

分 类 号：TM721[电气工程—电力系统及自动化]