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模糊概率理論的研究及其在電能質(zhì)量評(píng)估改進(jìn)與優(yōu)化中的應(yīng)用

發(fā)布時(shí)間:2018-04-18 07:33

  本文選題:Fuzzy概率 + 模糊綜合評(píng)價(jià)。 參考:《哈爾濱理工大學(xué)》2017年碩士論文


【摘要】:自從模糊數(shù)學(xué)理論誕生以來(lái),該理論已經(jīng)吸引了眾多學(xué)者的關(guān)注,模糊數(shù)學(xué)的理論和方法越來(lái)越多的深入到科學(xué)和工程領(lǐng)域。模糊概率是模糊數(shù)學(xué)理論中的一個(gè)重要內(nèi)容,也是最近很長(zhǎng)時(shí)間以來(lái)眾多學(xué)者研究的熱點(diǎn)。模糊概率是由傳統(tǒng)概率論和模糊數(shù)學(xué)理論交叉形成的具有很強(qiáng)實(shí)際應(yīng)用的理論和方法。本論文對(duì)模糊數(shù)學(xué)理論中的模糊事件的概率進(jìn)行了分析和研究,并希望通過(guò)此研究來(lái)探討電能質(zhì)量評(píng)估,通過(guò)分析得到了一些創(chuàng)新性的理論和實(shí)際應(yīng)用的結(jié)論。首先,給出了概率和算子與概率積算子,通過(guò)兩個(gè)算子研究了模糊事件概率的運(yùn)算方法,得出了一些有意義的結(jié)論,并證明了模糊事件的概率中的加法定理和乘法定理,同時(shí)比較了四種模糊算子下的概率計(jì)算的不同形態(tài),確認(rèn)了相對(duì)較優(yōu)的概率和算子。其次,研究影響電能質(zhì)量評(píng)估的主要因素,并根據(jù)相關(guān)數(shù)據(jù)系統(tǒng)地分析各個(gè)因素,并討論電能質(zhì)量評(píng)估系統(tǒng)的特點(diǎn)和因素之間的相互作用,為構(gòu)建模糊數(shù)學(xué)模型奠定基礎(chǔ)。最后,將模糊概率原理引入現(xiàn)有的電能質(zhì)量系統(tǒng)優(yōu)化與評(píng)價(jià)理論,結(jié)合模糊事件概率在本文中的研究成果,實(shí)現(xiàn)了模糊數(shù)學(xué)理論在電能質(zhì)量評(píng)價(jià)中的應(yīng)用。并與模糊綜合評(píng)判法進(jìn)行比較,從多角度確認(rèn)了該結(jié)論的合理性。本實(shí)際應(yīng)用為電力質(zhì)量保證體系在缺乏樣本信息的條件下進(jìn)行評(píng)估提供了新的思路和方法,為工業(yè)生產(chǎn)、電氣工程師改進(jìn)設(shè)備、提高效率提供了理論依據(jù)。
[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.
【學(xué)位授予單位】:哈爾濱理工大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2017
【分類號(hào)】:O159

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