Modified nodal analysis

In electrical engineering, modified nodal analysis^[1] or MNA is an extension of nodal analysis which not only determines the circuit's node voltages (as in classical nodal analysis), but also some branch currents. Modified nodal analysis was developed as a formalism to mitigate the difficulty of representing voltage-defined components in nodal analysis (e.g. voltage-controlled voltage sources). It is one such formalism. Others, such as sparse tableau formulation,^[2] are equally general and related via matrix transformations.

^ Ho, Ruehli, and Brennan (April 1974). "The Modified Nodal Approach to Network Analysis". Proc. 1974 Int. Symposium on Circuits and Systems, San Francisco. pp. 505–509. doi:10.1109/TCS.1975.1084079.{{cite conference}}: CS1 maint: multiple names: authors list (link)
^ Hachtel, G., Brayton, R, and Gustavson, F. (January 1971). "The Sparse Tableau Approach to Network Analysis and Design". IEEE Transactions on Circuit Theory. 18 (1): 101–113. doi:10.1109/TCT.1971.1083223.{{cite journal}}: CS1 maint: multiple names: authors list (link)

[1] Ho, Ruehli, and Brennan (April 1974). "The Modified Nodal Approach to Network Analysis". Proc. 1974 Int. Symposium on Circuits and Systems, San Francisco. pp. 505–509. doi:10.1109/TCS.1975.1084079.{{cite conference}}: CS1 maint: multiple names: authors list (link)

[2] Hachtel, G., Brayton, R, and Gustavson, F. (January 1971). "The Sparse Tableau Approach to Network Analysis and Design". IEEE Transactions on Circuit Theory. 18 (1): 101–113. doi:10.1109/TCT.1971.1083223.{{cite journal}}: CS1 maint: multiple names: authors list (link)

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