Power Flow Solution by Newton's Method

Power Flow Solution by Newton's Method
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DOI:
10.1109/tpas.1967.291823
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发表时间:
1967-11
期刊:
IEEE Transactions on Power Apparatus and Systems
影响因子:
--
通讯作者:
W. Tinney;Clifford E. Hart
W. Tinney;Clifford E. Hart
中科院分区:
其他
文献类型:
--
作者:
W. Tinney;Clifford E. Hart

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用牛顿法可以有效地解决交流潮流问题。只需要五次迭代,每次迭代大约相当于广泛使用的Gauss-Seidel方法的七次,就可以得到精确的解。与问题相关的内存和时间要求与问题大小大致成正比。在32K核心内存的计算机上,可以解决500到1000个节点的问题。该方法于1961年引入,通过最优有序高斯消去法和特殊编程技术而变得实用。文中给出了方程、编程细节和大型问题的求解实例。
The ac power flow problem can be solved efficiently by Newton's method. Only five iterations, each equivalent to about seven of the widely used Gauss-Seidel method, are required for an exact solution. Problem dependent memory and time requirements vary approximately in direct proportion to problem size. Problems of 500 to 1000 nodes can be solved on computers with 32K core memory. The method, introduced in 1961, has been made practical by optimally ordered Gaussian elimination and special programming techniques. Equations, programming details, and examples of solutions of large problems are given.