omG8HI9LSKFW6lhCj8prTs0Z6lUhdOT9Jhi1Sf4m

Iklan Atas Artikel

Iklan Tengah Artikel 1

Iklan Tengah Artikel 2

Iklan Bawah Artikel

How to Use Nodal Analysis for AC Circuit Analysis

The basic of nodal analysis of ac circuit steady state condition is Kirchhoff's current law. Since KCL is valid for phasors, we can analyze ac circuit by nodal analysis.
nodal analysis ac circuit

Nodal Analysis of AC Circuit

You will not find the basic theory of the nodal analysis here. We will only cover the step-by-step analyzing the ac circuit using this technique. If you have not learned about the its basic principle, make sure to read Nodal Analysis first.
The following nodal analysis ac circuit examples illustrate this.

Find the ix in the circuit of Figure.(1) using nodal analysis.
nodal analysis ac circuit
Figure 1. Example of nodal ac circuit analysis
Solution :
We first convert the circuit to the frequency domain :
nodal analysis ac circuit
Hence, the frequency domain equivalent circuit is as drawn in Figure.(2).
nodal analysis ac circuit
Figure 2. Frequency domain equivalent of the circuit in Figure.(1)
Applying KCL at node 1,
nodal analysis ac circuit
or
nodal analysis ac circuit
(1.1)
At node 2,
nodal analysis ac circuit
But Ix = V1/-j2.5. Substituting this gives
nodal analysis ac circuit
By simplifying, we obtain
nodal analysis ac circuit
(1.2)
Equations.(1.1) and (1.2) can be rewrite in matrix form to
nodal analysis ac circuit
We get the determinants as
nodal analysis ac circuit
The current Ix is given by
nodal analysis ac circuit
Transforming this to the time domain,
nodal analysis ac circuit

Supernode Analysis of AC Circuit

Next we will analyze an ac circuit containing a supernode in the circuit. Like before, we will not cover the basic principle of supernode used in ac circuit. You need to read Supernode Analysis first in order to understand the following example.

Compute V1 and V2 in the circuit of Figure.(3).
nodal analysis ac circuit
Figure 3. Example of supernode ac circuit analysis
Solution :
Nodes 1 and 2 form a supernode as drawn in Figure.(4).
nodal analysis ac circuit
Figure 4. Supernode in the circuit
Applying KCL at the supernode gives
nodal analysis ac circuit
or
nodal analysis ac circuit
(2.1)
But a voltage source is connected between nodes 1 and 2, so that
nodal analysis ac circuit
(2.2)
Substituting Equations.(2.2) to (2.1) results
nodal analysis ac circuit
From Equation.(2.2),
nodal analysis ac circuit

Untuk Bahasa Indonesia baca Analisis Node Rangkaian AC
Related Posts
SHARE

Related Posts

Subscribe to get free updates

Post a Comment

Language