【正文】 t, ―An efficient heuristic ordering algorithm for partial matrix refactorization,‖ IEEE Transactions on Power Systems, Vol. 3, No. 3, pp. 11811187, August 1988. [7] A. Gomez and . Franquelo. ―An efficient ordering algorithm to improve sparse vector methods,‖ IEEE Transactions on Power Systems, Vol. 3, No. 4, pp. 15381544, November 1988. [8] B. Stott, ―Review of loadflow calculation methods,‖ Proceedings of the IEEE, Vol. 62, No. 7, pp. 916929, July 1974. [9] X. W. Chang and C. C. Paige, ―On the sensitivity of the LU factorization,‖ BIT, Vol. 38, No. 3, pp. 486501, 1998. [10] . Businger, ―Monitoring the numerical stability of Gaussian elimination,‖ Numer. Math, Vol. 16, pp. 360361, 1971. [11] Paola Favati, Mauro Leoncini, and Angeles Martinez, ―On the robustness of gaussian elimination with partial pivoting,‖ BIT, Vol. 40, , , 2021 VII. BIOGRAPHIES Wenbo Li was born in Shandong Province in P. R. China, 1984. He received his B. S. from Electrical Engineering Institute of Shandong University, China, in 2021. He is currently pursuing the . degree at Shandong University. His main interest is in power system analysis and control. 外文翻譯 （原 文） 13 Xueshan Han was born in Liaoning Province in P. R. China, 1959. He received B. S. and M .S. degree from Electrical Engineering Department of Northeast Institute of electrical Power, Jilin In 1990 and PhD from Harbin Institute of Technology, Harbin in 1994. Now he is a Professor of the School of Electrical Engineering, Shandong University, China. His interests focus on power system analysis and control. Bo Zhang was born in Shandong Province, China, 1963. Now he is a Professor of the School of Electrical Engineering, Shandong University, China. His interests focus on power system analysis and control. 外文翻譯（譯文） 14 潮流 不同排序方案的比較 李文博，韓學(xué)山，張波 山東大學(xué)電氣工程學(xué)院 濟(jì)南，中國 郵箱： 摘 要： 今天 被廣泛應(yīng)用的節(jié)點(diǎn) 排序算法，旨在 盡可能地保證電力系統(tǒng)的稀疏性 。 本文列舉出了三種不同目的的排序方案，旨在比較潮流計(jì)算的形式，并且以一個(gè)六節(jié)點(diǎn)網(wǎng)絡(luò)為例進(jìn)行具體討論。 然 而隨著現(xiàn)代電力系統(tǒng)的發(fā)展，這個(gè)問題會(huì)變得 更加嚴(yán)重，并且在節(jié)點(diǎn)排序過程中 必須要 把 計(jì)數(shù)精度 考慮在內(nèi) 。 c) Determine the new number of the node according to the positong of node in the end of the factorization。 nodes 24 are load nodes. Following the original node number, the DC power flow equation is: To simulate puter numerical calculation operations, four significant figures will be used to solve the problem. Executing GEM without pivoting on (1) yields the solution[ θ2,θ3,θ4]T=[,]T, whose ponents differ from that of the exact solution [θ2, θ3,θ4]T=[,]T. A more exact solution could be obtained by plete pivoting: [θ2,θ3, θ4]T=[,]T, and the order of the node after row and column interchanges is 3,2,4. So this is a more reasonable ordering scheme for the purpose of getting more high accuracy. 外文翻譯 （原 文） 6 IV. THE INFLUENCE OF NODE REODERING ON THE PERFORMANCE OF NEWTONRAPHSON POWER FLOW METHOD Sample 6node work On the basis of the abovementioned analysis, the scheme for node reordering will not only affect memory requirement but also the accuracy of the solution in solving linear simultaneous equations. So performance of NewtonRaphson power flow method will be different with various node ordering. In this section three schemes of ordering for different purpose will be applied to a sample 6node work shown in Fig 2 to pare the influence of them on the accuracy of the solution, the convergence rate, the calculated amount and the memory needed in power flow putation. The detail of the performance is shown in table IV. A. Puropse 1 Saving Memory as far as possible At present, there are various schemes widely used for node numbering in nearoptimal order to reduce fillins and save memory. The only information needed by the schemes is a table describing the nodebranch connection pattern of the works. An order that would be optimal for the reduction of the admittance matrix of the work is also optimal for the table of factors related Jacobian matrix. Different schemes reach different promise between programming plexity and optimality. In this paper, what we concern about is how the result of the numbering 外文翻譯 （原 文） 7 affects t