电力系统优化经典算法的研究

发布时间：2018-03-16 12:52

本文选题：经典法　切入点：电力系统　出处：《南昌大学》2015年硕士论文　论文类型：学位论文

【摘要】：如今,电网系统发展的越来越迅速,电网规模也越来越大,随之也出现了很多电力浪费和损耗的现象,因此使得电力系统运行的经济性达到最优也是至关重要的环节。本文主要针对电力系统优化中的经典法进行深入研究。在电力系统计算中,线性方程组、节点阻抗矩阵也是其中的一个重要组成部分。故本文也涉及到了线性方程组解法的研究、求解节点阻抗矩阵的多种方法的研究与比较分析,本文提出了三种新的求解节点阻抗矩阵的方法,并对这三种方法的计算原理和计算时间进行比较;还针对电力系统潮流计算的PQ分解法还提出了一种可以加快求解速度的基于高斯-约当消元法的新型因子表法,并与传统的基于高斯消元法的因子表法进行对比分析;在牛拉法中,雅可比矩阵的形成与消元是必不可少的环节,故本文也在雅可比矩阵的形成方式上做了改进,提出了一种新的形成雅可比矩阵的方法,并加入了稀疏矩阵技术,使得计算时间加快很多;另外本文分析了潮流计算的几种基本算法,高斯-赛德尔法,牛拉法等,包括其意义、原理、基本方程等,还会对高斯-赛德尔潮流算法和牛顿-拉夫逊潮流算法的两种坐标形式的方法进行对比研究,总结各自的优缺点,并从其中选择一种求解网损微增率的方法进行后续优化的计算;同时会针对电力系统优化经典法的网损微增率的几种求解方法的原理和求解公式做个详细的介绍,分析这几种方法的优缺点,之后介绍经典法有功优化和经典法无功优化的基础模型、约束条件和计算流程,本文会用牛拉法求解潮流,接着根据经典法的计算流程用算例的形式将经典法有功优化完整的表示出来,也会探索出一些加快系统潮流和优化求解的方法。
[Abstract]:Nowadays, the power grid system is developing more and more rapidly, and the scale of the power network is becoming larger and larger. Therefore, it is also very important to optimize the operation economy of power system. In this paper, the classical method of power system optimization is studied deeply. The nodal impedance matrix is also an important part of it. Therefore, this paper also involves the study of solving linear equations, the study and comparison of various methods for solving node impedance matrix. In this paper, three new methods to solve the node impedance matrix are proposed, and the calculation principle and calculation time of the three methods are compared. A new factor table method based on Gao Si-Jordan elimination method is also proposed for power flow calculation. It is compared with the traditional factor table method based on Gao Si elimination method. The formation and elimination of Jacobian matrix is an essential link in the Bullard method, so this paper also improves the formation of Jacobian matrix, proposes a new method to form Jacobian matrix, and adds the sparse matrix technique. In addition, this paper analyzes several basic algorithms for power flow calculation, such as Gauss Seidel method, Niulla method, etc., including its meaning, principle, basic equations, etc. We will also compare the two coordinate forms of Gauss-Seidel power flow algorithm and Newton-Raphson power flow algorithm, and summarize their advantages and disadvantages. From this method, a method to solve the differential increment rate of network loss is selected to carry out the subsequent optimization calculation, and the principle and formula of several methods for solving the power system optimization method of the power system optimization method are introduced in detail. After analyzing the advantages and disadvantages of these methods, this paper introduces the basic models, constraints and calculation flow of classical active power optimization and classical reactive power optimization. Then, according to the calculation flow of classical method, the optimization of active power of classical method is presented in the form of an example, and some methods to speed up the system power flow and optimize the solution will be explored.
【学位授予单位】：南昌大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：TM744

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