Nodal analysis writes an equation at each electrical node, requiring that the branch currents incident at a node must sum to zero.
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When elements do not have admittance representations, a more general extension of nodal analysis, modified nodal analysis, can be used.
13.
When elements do not have admittance representations, a more general extension of nodal analysis, modified nodal analysis, can be used.
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A circuit simulation software, such as SPICE . Kirchhoff's current law combined with Ohm's Law is used in nodal analysis.
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Nodal analysis produces a compact set of equations for the network, which can be solved by hand if small, or can be quickly solved using linear algebra by computer.
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It can be proved that such a DAE coming from the Modified Nodal Analysis will have differentiation index less or equal than two as long as only passive RLC components are used.
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To increase the efficiency of the procedure, the circuit may be partitioned into its linear and nonlinear parts, since the linear part is readily described and calculated using nodal analysis directly in the frequency domain.
18.
In analyzing a circuit using Kirchhoff's circuit laws, one can either do nodal analysis using Kirchhoff's current law ( KCL ) or mesh analysis using Kirchhoff's voltage law ( KVL ).
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Unlike SPICE, which used Modified nodal analysis ( MNA ) to form the system of circuit equations, ASTAP instead used " sparse tableau formulation " ( STA ) to construct and solve a sparse matrix.
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Such developments were based on the application of concepts and methods from graph theory, for example minimum spanning trees to depict individual tracks in a more rigorous way, clique analysis to identify standard tracks, and nodal analysis to determine the precise location of panbiogeographic nodes.