基于本征正交分解的換流變壓器極性反轉(zhuǎn)電場降階模型
發(fā)布時(shí)間:2018-04-24 04:42
本文選題:換流變壓器 + 本征正交分解; 參考:《中國電機(jī)工程學(xué)報(bào)》2016年23期
【摘要】:為了解決在求解換流變壓器極性反轉(zhuǎn)瞬態(tài)電場過程中計(jì)算時(shí)間過長,占用存儲空間過大的問題,該文基于本征正交分解(proper orthogonal decomposition,POD)方法構(gòu)建了求解換流變壓器極性反轉(zhuǎn)瞬態(tài)電場的低階有限元模型。首先,應(yīng)用傳統(tǒng)伽遼金有限元法計(jì)算部分時(shí)刻的場域電位組成樣本數(shù)據(jù),并對樣本數(shù)據(jù)組成的矩陣進(jìn)行特征值分解得到一組POD正交基,最后通過生成的POD正交基構(gòu)建準(zhǔn)靜態(tài)電場方程的降階模型。應(yīng)用所提出的POD降階模型,分析了一臺?500k V換流變壓器在極性反轉(zhuǎn)情況下繞組端部電場隨時(shí)間的變化情況。計(jì)算結(jié)果表明:POD降階模型的計(jì)算結(jié)果與全階模型(傳統(tǒng)伽遼金有限元模型)的計(jì)算結(jié)果較吻合,驗(yàn)證了POD降階模型的準(zhǔn)確性。同時(shí),應(yīng)用降階模型計(jì)算換流變壓器瞬態(tài)電場的計(jì)算時(shí)間遠(yuǎn)小于全階模型的計(jì)算時(shí)間,說明了降階模型的高效性。
[Abstract]:In order to solve the problem that the calculation time is too long and the storage space is too large in the process of solving the transient electric field of polarity reversal of converter transformer, In this paper, a low-order finite element model for the transient electric field of polarity reversal of converter transformers is constructed based on the eigenorthogonal decomposition proper orthogonal decompositionPoD method. Firstly, the traditional Galerkin finite element method is used to calculate the field potential component sample data at some times, and a set of POD orthogonal bases are obtained by eigenvalue decomposition of the matrix composed of the sample data. Finally, the reduced order model of quasi static electric field equation is constructed by generating POD orthogonal basis. Based on the POD reduced order model proposed in this paper, the variation of the electric field at the end of the winding of a 500kV converter transformer with time under the condition of reversal of polarity is analyzed. The results show that the calculation results of the reduced order model of POD are in good agreement with those of the full-order model (the traditional Galerkin finite element model), and the accuracy of the reduced order model of POD is verified. At the same time, the time of calculating the transient electric field of converter transformer by using the reduced order model is much shorter than that of the full-order model, which shows the high efficiency of the reduced order model.
【作者單位】: 新能源電力系統(tǒng)國家重點(diǎn)實(shí)驗(yàn)室(華北電力大學(xué));
【基金】:國家自然科學(xué)基金項(xiàng)目(51277064) 中央高;究蒲袠I(yè)務(wù)費(fèi)專項(xiàng)資金資助(JB2015131)~~
【分類號】:TM41
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