triangular decomposition of the admittance matrix, gauss elimination method and the general star-mesh transformation
نویسندگان
چکیده
the star-mesh transformation allows the reduction of nodes in an electrical circuit. the gauss elimination method allows the reduction of unknowns in a system of linear equations . triangular decomposition can be used to find the inverse of a matrix. in this paper the coherence between these methods are discussed. it is shown that the gauss elimination method gives the same formula for star-mesh transformation. it is further shown that the element b of the upper triangular matrix b obtained by triangular decomposition of the admittance matrix g is the admittance between the nodes 2 and k if the node i is eliminated. and the element b is the admittance 1j between the nodes i and j if the nodes 1 through i-1are eliminated . similarly the element b of the upper triangular matrix b obtained by decomposition of the inductance matrix is the mutual inductance of the coils i and j if the coils 1 through i-1 are short circuited. the element c of the corresponding lower triangular matrix, is the noload voltage ratio of the coils i and k if the coils 1 through i-1 are short circuited.
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عنوان ژورنال:
نشریه دانشکده فنیجلد ۵۱، شماره ۰۹، صفحات ۰-۰
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