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基于改进差分进化算法的火电厂负荷分配问题研究

The Research of Economic Dispatch of Thermal Power Plant Based on Improved Differential Algorithm

【作者】 赵斌;

【导师】 吴勇;

【作者基本信息】 武汉理工大学 , 电力电子与电力传动, 2013, 硕士

【摘要】 电力系统的经济负荷分配是电力系统的一种典型的优化问题。近年来,随着人们对环境问题的日益关注,火力发电中煤炭等燃烧所产生的S02和NOX等排放造成的环境污染问题越来越受到重视,因此,对电力系统负荷分配问题的研究不仅仅要考虑发电成本,还需要考虑环境污染的成本。这就是所谓的电力系统环境经济负荷分配问题,采用多目标优化方法对其进行研究具有重要意义。差分进化算法是一种解决复杂优化问题的智能算法,其基本思想是利用当前种群的个体之间的差异进行扰动而产生新的中间种群,再通过重组和选择操作来产生新一代种群,通过多次迭代最终找到适应值最优的个体。总之,差分进化算法结构简单,操作容易,具有很好的优化能力,并在许多领域获得了运用。本文在国内外电力系统负荷分配研究现状的基础上,对火电厂负荷分配问题及其经典数学模型进行了阐述。在差分进化算法研究的基础上,针对其缺乏局部收敛能力,后期收敛速度较慢的缺点,提出一种改进的差分进化算法——均值导向差分进化算法(Mean Guiding Differential Evolution, MGDE)。通过标准测试函数验证性能后,对单目标经济负荷分配问题的三机组、13机组、40机组的算例进行了仿真优化,结果表明所提算法性能较优。提出了一种结合差分进化算法、非支配排序机制以及新颖的拥挤距离排序机制的多目标优化算法——多目标差分进化/无量纲欧氏排序算法(Multi-objective Differential Evolution/Non-dimensional Euclidean Sorting, MODE/ND),并通过一组测试函数对其性能进行了测试,与现今较为先进的NSGA-Ⅱ算法进行了比较,证明了所提算法的有效性和正确性。最后运用所提算法对三机组的两目标优化问题、三机组的三目标优化问题以及六机组的两目标优化问题进行了优化,仿真表明本文所提算法的有效性和实际应用价值。

【Abstract】 The Economic load dispatch of the power system is considered as a typical optimization of the power system. Recently, as people are increasingly concerned about the environmental issues, the environmental pollution caused by the emissions of SO2and NOx in thermal power is more and more taken seriously. Therefore, the study of the load dispatch of the power system needs to not only consider the power generation cost, but also the cost of the environmental pollution, which is so-called the environmental economic load dispatch problem in power system. As a result, the adoption of the multi-objective optimization methods is of great significance in the study.Differential evolution algorithm is an intelligent algorithm to solve complex optimization problems, of which the basic thought is firstly using the disturbance of the differences between the individuals of the current population to produce new intermediate population, then through restructure and selection producing a new population, and finally after many iterations finding the best individual. In brief, differential evolution algorithm has simple structure, easy operation and excellent optimization ability, which has been applied in many fields.Based on the domestic and foreign researches of the power system load dispatch, the load dispatch of the power plant operation, the mathematical models of the single objective economic load dispatch problem and the multi-objective environmental economic load dispatch problem have been described. Based on the study of the differential evolution, an improved differential evolution algorithm, Mean Guiding Differential Evolution, has been presented contraposing DE’s disadvantages of lack of local convergence ability and slow convergence rate in later period. After the performance of MGDE is validated by the standard test functions, the single-objective economic load dispatch examples of3units,13units and40units have been adopted simulating optimization methods, the results of which show that the proposed algorithm has better performance.A multi-objective optimization algorithm, Multi-objective Differential Evolution or Non-dimensional Euclidean Sorting, has been proposed, which is a combination of differential evolution algorithm, the non-dominated sorting mechanism and the innovative crowded distance sorting mechanism. It has been tested through a set of test functions and compared with the more advanced NSGA-II algorithm, the validity and correctness of the proposed algorithm has been proved. Finally, three units of two objectives optimization problem, three units of the three objectives optimization problem and six units of the two objectives optimization problem have been optimized by using the proposed algorithm. And the simulation results show that the proposed algorithm is of effectiveness and practical application value.

  • 【分类号】TM621;TM714
  • 【被引频次】14
  • 【下载频次】226
  • 攻读期成果
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