Monday, October 14, 2013
Introduction
Having understood the fundamental laws of circuit theory (Ohm's Law and Kirchhoff's Law), we are now ready to apply these law to create a new two powerful techniques for circuit analysis: the nodal analysis which is based on a systematic application of Kirchhoff's Current Law (KCL), and mesh analysis which is based on a systematic application of Kirchhoff's Voltage Law (KVL).
NODAL ANALYSIS
Nodal Analysis of electronic circuits is based on
assigning Nodal voltages at various nodes of the
circuit with respect to a reference and then
finding these nodal voltages to analyze the
circuit.
Simple representation of Nodal Voltages shown
in figure:
As shown in Figure, a node is a point
in a circuit where two or more wires
meet. At these nodes one can assign
a nodal voltage with respect to the
reference ground shown.
(Conditions to solve for NODAL)
NODAL ANALYSIS: INDEPENDENT SOURCES ONLY
* First we find the number of KCL equations (These are used to find
the nodal voltages). N -1 = n, here N = number of equations, n =
number of nodes.
* Then we write the KCL equations for the nodes and solve them to
find the respected nodal voltages.
* Once we have these nodal voltages, we can use them to further
analyze the circuit.
* SuperNode: Two Nodes with a independent Voltage source
between them is a Super node and one forms a KVL equation for it.
MESH ANALYSIS
Mesh Analysis involves solving electronic circuits
via finding mesh or loop currents of the circuit.
This is done by forming KVL equations for
respected loops and solving the equations to find
individual mesh currents.
We simply assume clockwise current flow
in All the loops and find them to analyze the circuit. Also any independent current source in a loop. Becomes the loop current as current in series is
Same.
