Geodesic
Electric network analysis by the generalized cut-set matrix method
Applications of Mathematics, Tome 16 (1971) no. 1, pp. 24-45
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The article formulates a generalized cut-set method which may be used for the analysis of linear networks containing ideal voltage sources together with ideal current sources; there may also be magnetic coupling between the branches of the network. It appears that this method is a very useful tool for the network analysis. Its application is demonstrated on four examples.
The article formulates a generalized cut-set method which may be used for the analysis of linear networks containing ideal voltage sources together with ideal current sources; there may also be magnetic coupling between the branches of the network. It appears that this method is a very useful tool for the network analysis. Its application is demonstrated on four examples.
DOI : 10.21136/AM.1971.103324
Classification : 94-30 
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Mayer, Daniel. Electric network analysis by the generalized cut-set matrix method. Applications of Mathematics, Tome 16 (1971) no. 1, pp. 24-45. doi: 10.21136/AM.1971.103324

[1] Mayer D.: Analysis of Electric Circuits with Magnetic Coupling by the Node Voltage Method. Acta Technica ČSAV, 15 (1970), No. 1, 16-29.

[2] Mayer D.: The Generalized Node Voltage Matrix Method. Acta Technica ČSAV, 16 (1971) (In print). | MR

[3] Guillemin E. A.: Introductory Circuit Theory. New York, J. Willey and Sons, Inc., 1953.

[4] Whitney H.: Planar Graphs. Fund. Math., Vol. 21 (1933), 73-84. | DOI | Zbl

[5] Seshu S., Reed M. B.: On Cut-Sets of Electric Networks. Proc. 2nd Midwest Symposium on Circuit Theory, Michigan State Univ., 1956, 1.1 - 1.13.

[6] Mayer D.: A Contribution to the Generalized Formulation of the Matrix Methods of Mesh Currents and Node Voltages. Aplikace matematiky, 15 (1970), No. 4, 255 - 270. | MR

[7] Mayer D.: Analýza elektrických obvodů maticovým počtem. (Analysis of Electric Netwroks by Matrix Calculus.) Academia, Praha 1966.

[8] Mayer D.: The State-Variable Method of Electric Network Analysis. Acta Technica ČSAV, 15 (1970), No. 6, 761-789.

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