METHODS OF ANALYSIS Nodal analysis Mesh Analysis Nodal
- Slides: 9
METHODS OF ANALYSIS • Nodal analysis • Mesh Analysis
Nodal Analysis An analysis technique to solve electrical circuit where the node voltages are used as the circuit variables It involves systematic steps with an objective to solve the node voltages With node voltages known, current in every branch can be calculated 6 v 1 1 A 2 v 1, v 2 : node voltages v 2 7 4 A Reference node If v 1 and v 2 are known, current in all branches can be calculated
Nodal Analysis Example 1 6 1 A 2 7 4 A
Nodal Analysis Example 1 6 v 1 2 1 A v 2 7 4 A Step 1 Determine the reference node: typically the one with the most branches bottom node Step 2 Assign the rest of the nodes with node voltages (referred to the reference node)
Nodal Analysis Example 1 6 v 1 2 1 A v 2 7 4 A Step 3 Write down equations using KCL for every non-reference node in terms of node voltages if there are N nodes, there should be (N-1) equations Step 4 Obtain the node voltages by solving the simultaneous equations in step 3
Nodal Analysis Example 2 Determine the current in every branch 9 k v 1 3 k v 2 9 k 12 V + 6 k 4 k Step 1 Determine the reference node : bottom node Step 2 Assign the rest of the nodes with nodal voltages Note: only nodes with 3 or more branches are assigned 3 k
Nodal Analysis Example 2 Determine the current in every branch 9 k v 1 3 k v 2 9 k 12 V + 6 k 4 k 3 k 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
Nodal Analysis Example 3 Circuit containing dependent current source 6 k v 1 v 2 2 io 12 k 3 k 2 m. A io Step 1 Determine the reference node Step 2 Assign the rest of the nodes with node voltages
Nodal Analysis Example 3 Circuit containing dependent current source 6 k v 1 v 2 2 io 12 k 3 k 2 m. A io 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
