模糊概率理论的研究及其在电能质量评估改进与优化中的应用

发布时间：2018-04-18 07:33

本文选题：Fuzzy概率 + 模糊综合评价　；参考：《哈尔滨理工大学》2017年硕士论文

【摘要】：自从模糊数学理论诞生以来,该理论已经吸引了众多学者的关注,模糊数学的理论和方法越来越多的深入到科学和工程领域。模糊概率是模糊数学理论中的一个重要内容,也是最近很长时间以来众多学者研究的热点。模糊概率是由传统概率论和模糊数学理论交叉形成的具有很强实际应用的理论和方法。本论文对模糊数学理论中的模糊事件的概率进行了分析和研究,并希望通过此研究来探讨电能质量评估,通过分析得到了一些创新性的理论和实际应用的结论。首先,给出了概率和算子与概率积算子,通过两个算子研究了模糊事件概率的运算方法,得出了一些有意义的结论,并证明了模糊事件的概率中的加法定理和乘法定理,同时比较了四种模糊算子下的概率计算的不同形态,确认了相对较优的概率和算子。其次,研究影响电能质量评估的主要因素,并根据相关数据系统地分析各个因素,并讨论电能质量评估系统的特点和因素之间的相互作用,为构建模糊数学模型奠定基础。最后,将模糊概率原理引入现有的电能质量系统优化与评价理论,结合模糊事件概率在本文中的研究成果,实现了模糊数学理论在电能质量评价中的应用。并与模糊综合评判法进行比较,从多角度确认了该结论的合理性。本实际应用为电力质量保证体系在缺乏样本信息的条件下进行评估提供了新的思路和方法,为工业生产、电气工程师改进设备、提高效率提供了理论依据。
[Abstract]:Since the birth of the theory of fuzzy mathematics, the theory has attracted the attention of many scholars. The theory and method of fuzzy mathematics are more and more deep into the field of science and engineering.Fuzzy probability is an important part of fuzzy mathematics theory.Fuzzy probability is a theory and method with strong practical application, which is formed by the intersection of traditional probability theory and fuzzy mathematics theory.In this paper, the probability of fuzzy events in fuzzy mathematics theory is analyzed and studied, and it is hoped that the power quality assessment can be discussed through this study, and some innovative theoretical and practical application conclusions are obtained through the analysis.Firstly, the probabilistic sum operator and probabilistic product operator are given. The operation method of fuzzy event probability is studied by two operators, and some meaningful conclusions are obtained, and the addition theorem and multiplication theorem in the probability of fuzzy event are proved.At the same time, the different forms of probability calculation under four fuzzy operators are compared, and the relative optimal probability and operator are confirmed.Secondly, the main factors influencing the power quality assessment are studied, and the factors are analyzed systematically according to the relevant data, and the characteristics of the power quality assessment system and the interaction between the factors are discussed, which lays the foundation for the construction of fuzzy mathematical model.Finally, the fuzzy probability principle is introduced into the existing theory of power quality system optimization and evaluation, and the application of fuzzy mathematics theory in power quality evaluation is realized by combining the research results of fuzzy event probability in this paper.Compared with the fuzzy comprehensive evaluation method, the rationality of the conclusion is confirmed from many angles.This practical application provides a new idea and method for power quality assurance system to evaluate under the condition of lack of sample information, and provides a theoretical basis for industrial production, electrical engineers to improve equipment and improve efficiency.
【学位授予单位】：哈尔滨理工大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O159

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