【作者】 林睦纲；

【导师】 罗可； 童小娇；

【作者基本信息】 长沙理工大学 ， 计算机应用技术， 2005， 硕士

【摘要】 最优潮流(Optimal Power Flow—OPF)是一种同时考虑经济性和安全性的电力网络分析优化问题。OPF 在电力系统的安全运行、经济调度、可靠性分析、能量管理以及电力定价等方面得到了广泛的应用。自上世纪六十年代初开始OPF 问题的研究,人们提出了各种计算方法来求解OPF 问题,有些方法已应用到实际系统,并取得较为满意的效果。在各类计算方法中,二十世纪九十年代末期提出的非线性互补问题(Nonlinear Complementarity Problem—NCP)方法受到电力系统分析专家的关注。NCP 方法的突出特点是在非线性不等式约束优化问题中无需识别有效集,而此问题正是OPF 计算中的难点。因此,NCP 方法的提出,为实现OPF 的在线计算提供了新的方法。本文以NCP 方法为基础,提出了一种新的求解OPF 算法——投影渐近半光滑牛顿型算法。针对电力系统的特点,本文的研究工作如下: 1. 建立了与OPF 问题的KKT 系统等价的带界约束的半光滑方程系统。与已有的NCP 方法相比,新的模型由于无需考虑界约束对应的对偶变量(乘子变量),降低了问题的维数,从而适用于解大规模的电力系统问题。2. 基于建立的新模型,本文提出了一类新的Newton 型算法,该算法一方面保持界约束的相容性,另一方面有较好的全局与局部超线性收敛性,同时,算法结构简单,易于实现。3. 考虑到电力系统固有的弱耦合特性,受传统解耦最优潮流方法的启示,在所提出的新Newton 型方法的基础上,本文又设计了一类分解方法。新方法基于解耦——校正的策略实现算法,不仅充分利用了系统的弱耦合特性,同时保证分解算法在理论上的收敛性。4. 根据所提出的两种算法,用标准的IEEE 电力测试系统进行数值实验,并与已有的其他方法进行比较。结果显示新算法具有良好的收敛性和计算效果,在电力系统的规划与运行方面将有广阔的应用前景。更多还原

【Abstract】 Optimal Power Flow (OPF) is an analyzing and optimizing method of power networks, considering economy and security at the same time. It has been widely applied to secure operation, economic dispatch, energy management and pricing of electric power, etc. Various computation methods have been proposed to solve OPF problems since it was presented in the early 1960’s, and some of them make the more satisfied effecting in the applications to actual power systems. In these methods, the nonlinear complementarity problem (NCP) method presented in the last 1990’s attracts power system analysis experts’ attention. The remarkable advantage of this method need not identify active set in nonlinear inequality constraints optimal problems, while it is just the most difficulty in OPF problems. So the NCP method put forward supply a new method for on-line calculation of OPF. Based on the NCP method, this paper presents a new method for solving OPF ? ? a projected asymptotically semismooth Newton algorithm. Aimed at the characteristics of power systems, the main research works of this paper is as follow: 1. The KKT system of the OPF is reformulated equivalently to a system of nonsmooth bounded constrained equations. Comparing with the NCP method being, for not considering the dual variables of the bounded constraints, this new model reduces the dimension of OPF problems. So it will more suit solving large scale power systems problems. 2. Based on the new model, this paper presents a new Newton-type algorithm. This algorithm not only holds the consistent of bounded constraints but also has nice global and local suplinear convergence property. At the same time, this algorithm is easy to realize and its structure is simple. 3. Considering the weak-couple inherent property in power system, according to the thought of the classical decoupled OPF, the paper designs a new decoupled method based on a decomposition-correction strategy. This method combines with the weak-couple property of systems, and also it ensures the convergence of the algorithm in theory. 4. Some standard IEEE systems are used to test the two algorithms. Comparing with that of other methods, Numerical results shows that the proposed algorithms have nice convergent performance and computing effect,and that the algorithms can be widely applied to the areas of power system planning and operation.更多还原