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A1262432863GNqOB

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... the reference node: typically the one with the most branches. Step 2 ... Write down equations using KCL for every non-reference node in terms of node voltages ... – PowerPoint PPT presentation

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Title: A1262432863GNqOB


1
SUMMARY ON NODAL AND MESH ANALYSIS
2
  • Both techniques provide systematic steps in
    solving electric circuit
  • Nodal applicable to all circuits, Mesh only
    applicable to planar circuit
  • NOT ALL circuits require nodal or mesh analysis
    to solve them.
  • If nodal or mesh analysis is required, choose the
    one which will give the fastest or simplest steps

3
Nodal versus Mesh Analysis
  • To select the method that results in the smaller
    number of equations. For example
  • Choose nodal analysis for circuit with fewer
    nodes than meshes.
  • Choose mesh analysis for circuit with fewer
    meshes than nodes.
  • Networks that contain many series connected
    elements, voltage sources, or supermeshes are
    more suitable for mesh analysis.
  • Networks with parallel-connected elements,
    current sources, or supernodes are more suitable
    for nodal analysis.
  • If node voltages are required, it may be
    expedient to apply nodal analysis
  • If branch or mesh currents are required, it
    may be better to use mesh analysis.

4
NODAL ANALYSIS
Step 1
Determine the reference node typically the one
with the most branches
Step 2
Assign the rest of the nodes with node voltages
(referred to the reference node)
Step 3
Write down equations using KCL for every
non-reference node in terms of node voltages
Step 4
Obtain the node voltages by solving the
simultaneous equations in step 3
5
NODAL ANALYSIS
va
vb
6
NODAL ANALYSIS
7
NODAL ANALYSIS
va
8
NODAL ANALYSIS
9
NODAL ANALYSIS
10
NODAL ANALYSIS
11
NODAL ANALYSIS
12
NODAL ANALYSIS
13
NODAL ANALYSIS
Constraint equation
14
MESH ANALYSIS
Step 1
Assign mesh currents to the meshes
Step 2
For every mesh, apply KVL Using Ohms law,
write down the equations in terms of mesh currents
Step 3
Solve mesh currents in equations obtained in step
2, simultaneously
15
MESH ANALYSIS
Mesh 1 -Vs R1(i1 i2) R2(i1 i3) 0
16
MESH ANALYSIS
Mesh 2 i2 Is
17
MESH ANALYSIS
Is
Mesh 2 i2 Is
18
MESH ANALYSIS
Constraint equation i1 i3 Is
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