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基于有记忆的模拟退火算法的放射性配电网络并联电容器的优化配置
Optimal Capacitor Placement in Radial Distribution System Based on Simulated Annealing with Memory
【作者】 孙毅;
【导师】 刘俊勇;
【作者基本信息】 四川大学 , 电力系统及其自动化, 2003, 硕士
【摘要】 我国输配电系统的线损率长期以来居高不下,其中尤以配电系统最为突出。因此,配电网的节能降损问题显得尤为重要。在配电系统中加装无功补偿设备,可达到降低网损的效果,此外还可以提高电网输送能力和改善电压质量。本文主要研究电容器优化配置问题——通过确定放射性配电网络中并联电容器的安装数量、位置、容量和类型以及在各负荷水平下的控制策略,从而在满足负荷和运行条件下达到系统能量损耗成本和电容器投资成本之和最小的目的。本文在总结前人研究工作的基础上,建立了较为实际的优化模型,并采用一种改进的有记忆的模拟退火算法来解决该优化问题,与传统的模拟退火算法相比能有效的提高优化解的质量。 首先,介绍了配电网络的特点,提出了研究配电网电容器优化配置的意义和内容,重点回顾了国内外在该问题上的发展动态。 第二章分析了无功补偿的原理及优势,并建立了较符合实际的配电网并联电容器优化配置模型。 第三章介绍了基于支路网损的配电网前推回推潮流算法,该算法编程简单,数值稳定性好,占用内存小,计算速度快,并且收敛性和收敛速度均优于牛顿法。 第四章引用网损微增率的概念,介绍了阻抗矩阵法求解网损微增率的方法。为减轻后续章节的模拟退火算法计算负担提供了理论依据。 第五章着重介绍了模拟退火算法的数学背景、理论基础和实现形式,并针对其存在的问题提出了改进算法——有记忆的模拟退火算法。 第六章研究并解决了将改进的有记忆的模拟退火算法应用于配电网络电容器的优化配置问题,以IEEE69和IEEE33标准测试系统为算例获得了满意的结果,并与传统模拟退火算法相比较,论证了改进算法在提高解质量上的优势所在。
【Abstract】 The line loss ratio of transmission and distribution system in our country has maintained a high value over a long period of time, and distribution system has played an important role in it. Placing facilities for reactive power compensation can reduce network loss effectively as well as improve transmission capacity and regulate voltage profile. This dissertation works over the problem of optimal capacitor placement, which is to determine the number, locations, types and sizes of capacitors to be installed in a radial distribution system, and the control schemes of the capacitor at different load levels so as to minimize the energy cost plus the cost of capacitors installed in the system while the load constraints and operational constraints at different load levels are satisfied. Based on the summarizatin of previous work, this dissertation sets up a practical mathematic model and presents a improved simulated annealing with memory, which can achieve better solution than traditional simulated annealing.The characters of distribution system, the necessity and the content of research of optimal capacitor placement in distribution system is introduced and the background of this thesis at home and abroad is summarized in first chapter.In chapter two, the theory and superiority of reactive power compensation is analyzed and a practical mathematic model of optimal capacitor placement is set up.In chapter three, a back/forward sweeps based on branch loss for power flow is presents, which is credited with simple program, good numerical value stability, small EMS memory and rapid calculation.The conception of network loss sensitivity and is introduced in chapter four, which provides theoretical reference to reduce calculation amount for simulated annealing. How to achieve network loss sensitivity is also included in this chapter.In chapter five, the fundamental theory of simulated annealing is introduced andits improved algorithm--simulated annealing with memory is presents fordrawback of conditional algorithm.In chapter six, simulated annealing with memory is applied to the problem of optimal capacitor placement successfully. Improve algorithm is tested in IEEE 69 bus and IEEE 33 bus system and achieved satisfied solution. Furthermore, compared with conditional simulated annealing, improved algorithm can win better solution.
- 【网络出版投稿人】 四川大学 【网络出版年期】2004年 01期
- 【分类号】TM732
- 【被引频次】7
- 【下载频次】209