Research and Experimental Verification of POD-QDEIM Algorithm for Transient Temperature Rise and Reduced Order of Oil Immersed Transformer Windings With Snapshot Selection Strategy
In order to improve the calculation speed of transient temperature rise simulation of oil immersed power transformer windings using FEM,a POD-QDEIM algorithm with snapshot selection strategy is proposed in this paper.First,based on the least square finite element method(LSFEM)and upwind finite element method(UFEM),the thermal coupling calculation model of winding flow is derived.Then,the proper orthogonal decomposition(POD)is introduced to reduce the dimension of finite element equations and improve the efficiency of equation solving.At the same time,POD adaptive snapshot selection strategy is proposed to reduce the size of snapshot matrix on the premise of ensuring the accuracy of reduced order model.Later,in order to improve the low efficiency of POD method in solving nonlinear problems,the paper combines the QR factorization discrete empirical interpolation method(Q-DEIM)based on column principal component QR decomposition to form nonlinear terms in the equation through interpolation,so as to improve the formation efficiency of nonlinear terms in each step.This method is superior to the traditional discrete empirical interpolation method(DEIM)in accuracy and efficiency.Finally,based on the basic structure of 110 kV oil immersed power transformer windings,this paper establishes an eight-zone and turn-winding heat transfer model to verify the proposed algorithm.At the same time,a winding temperature rise test device is built to discuss its engineering application value.The simulation and experimental results show that:the calculation accuracy of POD-QDEIM reduced order algorithm is acceptable in engineering.Its calculation efficiency is nearly 11.72 times higher than that of full order calculation,and nearly 7.05 times higher than that of single thread calculation of current mainstream simulation software Fluent.This shows the engineering application value of this algorithm in the field of rapid simulation of transient temperature rise of oil immersed power transformer windings.
transient temperature rise of windingsnapshot selection strategyproper orthogonal decomposition(POD)discrete empirical interpolation method(DEIM)temperature rise experiment
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