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The modified loop approach is advantageous if (1) a network has much more nodes than loops, (2) the branch currents are mostly of interest and (3) in the tearing of large networks.
English (United States)
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Modified Loop Approach To Network Analysis
The modified loop approach is advantageous if (1) a network has much more
nodes than loops, (2) the branch currents are mostly of interest and (3) in the
tearing of large networks.
The modified loop analysis approach is complementary to the modified nodal
analysis published in reference (1). The advantage of the modified loop analysis
over the loop analysis is in the way current sources are handled in the loop
analysis and in the way the capacitor voltages are handled if they are desired as
output in the network analysis. The principle of the method, which may also be
applied to other elements having the same properties like impedance networks or
transmission lines, is disclosed herein.
Due to the flexibility of the approach the circuit equations
are set forth in a general form as follows:
is the circuit matrix, X a vector of currents and voltages, and R the
right-hand side vector. The modified loop matrix set forth below is
for a specific example of the single transistor circuit with current
source, illustrated in the figure. This formulation eliminates the
problem encountered with current sources in a loop analysis. A set
of stamps is specified in the table for the modified loop analysis
similar to the modified nodal analysis in reference (1). As
mentioned above, the combination of the two analysis methods leads to
a way to tear both current sources and also voltage sources. The
modified loop an...