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신명철 연세대학교 대학원 1973 원우론집 Vol.1 No.1
The sparsity of the admittance matrix indicates the both numbers and distribution of zero elements in the sparse matrix. It is shown that the optimally ordered triangular factorization of a sparse matrix is more efficient and offers other important computational advantage in some applications. It is possible to realize very significant reductions in computing time and memory by taking advantage of properties of the sparse admittance matrix which are usually ignored. With this method, direct solutions are computed from sparse matrix factors instead of a full inverse matrix. In addition, It is shown that the solutions can be applied directely to solve the power flow in an electrical power system. The result of this study should lead to many applications including short circuit, transient stability, network reduction, reactive optimization, tower design and others.