基于互补理论的电力系统机组组合优化  

Unit commitment and optimization based on complementarity theory in power system

作　　者：丁林军 陈璟华[1] 梁丽丽[1] 邱明晋 唐俊杰[1] 

机构地区：[1]广东工业大学自动化学院,广东广州510006

出　　处：《宁夏电力》2017年第1期16-21,38,共7页Ningxia Electric Power

基　　金：广东省自然科学基金资助项目(S2013040013776)

摘　　要：针对同时具有离散和连续变量,非线性等特点的火电机组组合问题,在分析一般机组组合优化数学模型的基础上,尝试用连续化的方法建立连续变量和离散变量之间的关系,利用互补约束和最优化极值理论,构建了电力系统机组组合的互补约束优化模型。采用光滑NCP函数对建立的互补约束优化模型进行光滑处理,将其转化为一般的非线性规划问题,并用原对偶内点法进行求解。仿真结果表明:所提算法能有效处理含离散和连续变量的混合优化问题,具有很好的实际应用前景。Aiming at the problems of thermal power generating unit commitment containing the characteristics of discrete variables and continuous variables, non-linear and so on, on the basis of analyzing mathematical model of general unit commitment and optimization, tries to build relationship between continuous variables and discrete variables by continuous way, and according to complementarity constraints and optimization extreme value theory builds a complementary constraint optimization model of power system unit commitment. And then using the smooth NCP function makes smoothing treatment on the established complementarity constraint optimization model, and transforms it into a general nonlinear programming problem, and get the solution by the original dual interior point method. The simulation result shows that this algorithm can effectively deal with mixed optimization problems containing discrete and continuous variables, has good practical application prospects.

关 键 词：机组组合 互补约束 光滑函数 非线性规划 

分 类 号：TM711[电气工程—电力系统及自动化]