蒙特卡羅方法在電磁場(chǎng)分析中的應(yīng)用研究.pdf

1、華北電力大學(xué)（保定）碩士學(xué)位論文蒙特卡羅方法在電磁場(chǎng)分析中的應(yīng)用研究姓名：武衛(wèi)革申請(qǐng)學(xué)位級(jí)別：碩士專(zhuān)業(yè)：電工理論與新技術(shù)指導(dǎo)教師：劉建新20071218華北電力人學(xué)碩十學(xué)位論文摘要摘要蒙特卡羅法(MonteCarloMethod，簡(jiǎn)稱(chēng)MCM)是概率論學(xué)科中重要分支之一，該方法既可以解決隨機(jī)性問(wèn)題，也可以解決確定性問(wèn)題：隨著電子計(jì)算機(jī)的飛速發(fā)展，其應(yīng)用范圍越來(lái)越廣泛，對(duì)MCM研究具有一定的理論和實(shí)際應(yīng)用價(jià)值。本文應(yīng)用MCM解決靜態(tài)電磁邊值

2、問(wèn)題為主要目的，重點(diǎn)解決了三維場(chǎng)和多媒質(zhì)場(chǎng)邊值問(wèn)題的MCM，填補(bǔ)了國(guó)內(nèi)在這方面的空白。筆者在MATLAB環(huán)境下，自行設(shè)計(jì)編寫(xiě)了求解靜態(tài)電磁場(chǎng)邊值問(wèn)的MCM程序。通過(guò)典型算例驗(yàn)證了算法和程序的正確性，并對(duì)離散型和連續(xù)型MCM進(jìn)行了比較。最后分析了影響MCM的主要因素，得出了非常有用的結(jié)論。關(guān)鍵詞：電磁場(chǎng)，數(shù)值分析，蒙特卡羅法，隨機(jī)游動(dòng)ABSTRACTMonteCarlomethod(MCM)isanimportantbranchofpro

3、babilitytheoryItcansolvenotonlytherandomproblems，butalsothedefiniteproblemsAlongwiththerapiddevelopmentofelectroniccomputers，theapplicationscopeofMCMismoreandmorewidespreadSoithassometheoreticalandpracticalapplicationval

4、uetostudyMCMThemainpurposeofthispaperistosolveboundaryvalueproblemsofthestaticelectromagneticfield，focusingonthethree—dimensionalfieldandmulti—mediafield，whichhasfilleddomesticblankinthisareaTheprojectofMCMsolvingstatice

5、lectromagneticfieldisdesignedandtheprogramisdevelopedinMATLABenvironmentInaddition，theaccuracyofMCMandtheprogramisconfirmedthroughtypicalexamples，andthefixedrandomwalkiscomparedwiththefloatingrandomwalkFinallythemainfact

6、orswhichmayaffectMCMarediscussedandsomeusefulconclusionsaredrawnWuWeige(TheoryandAdvancedTechnologyofElectricalEngineering)DirectedbyProfLiuJianxinKEYWORDS：electromagneticfield，numericalanalysis，MonteCarlomethod，randomwa