Linear Algebra - Incidence Matrix of an RLC Ckt

Click For Summary
SUMMARY

The discussion centers on finding the incidence matrix of an RLC circuit, which includes resistors, inductors, and capacitors. Participants suggest using complex impedances for inductors (jωL) and capacitors (1/jωC) to account for frequency variations. They recommend consulting "Basic Circuit Theory" by Desoer and Kuh for a relevant example. Additionally, the conversation touches on mesh and nodal analysis as potential methods for circuit analysis.

PREREQUISITES
  • Understanding of linear algebra concepts related to incidence matrices
  • Familiarity with electrical circuit components: resistors, inductors, and capacitors
  • Knowledge of complex impedance calculations
  • Basic principles of mesh and nodal analysis in circuit theory
NEXT STEPS
  • Study the incidence matrix formulation for RLC circuits
  • Learn about complex impedance in AC circuit analysis
  • Explore mesh analysis and nodal analysis techniques in detail
  • Read "Basic Circuit Theory" by Desoer and Kuh for practical examples
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing RLC circuits and their incidence matrices.

YoshiMoshi
Messages
233
Reaction score
10
<Moved from a homework forum. Template removed.>

I can't find any documentation on how to do this. I remember in linear algebra how to find the incidence matrix of an electrical network of purely resistors. Put how do I find it of a RLC circuit with resistors, inductors, and capacitors? I can't even find an example. Thanks for any help.
 
Engineering news on Phys.org
I'm not able to open that link
 
YoshiMoshi said:
I'm not able to open that link
The link doesn't open here either. Looking for it in google gives the same link with the same result.

I think you can use complex impedances instead of the resistance. Inductor is jωL, capacitor is 1/jωC. Your matrix will depend on the frequency.
 
Link won't open here either. It is apparently a closed educational network in Sri Lanka:

address: University of Peradeniya
address: Peradeniya (20400)
country: LK
 
Today, I can't open the link either - using a different computer. The computer I used to read the pdf still opens it, but that may be because the pdf is cached on the machine.
 
YoshiMoshi said:
<Moved from a homework forum. Template removed.>

I can't find any documentation on how to do this. I remember in linear algebra how to find the incidence matrix of an electrical network of purely resistors. Put how do I find it of a RLC circuit with resistors, inductors, and capacitors? I can't even find an example. Thanks for any help.
I do not think the nature of the elements matters, as far as the incidence matrix is concerned.
For an example of an RLC circuit and its incidence matrix, you can have a look at p 385 (Section 9.1) of Basic Circuit Theory by Desoer and Kuh, 1969.
 
  • Like
Likes   Reactions: Greg Bernhardt and donpacino

Similar threads

Replies
44
Views
6K
Replies
12
Views
2K
  • · Replies 13 ·
Replies
13
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 7 ·
Replies
7
Views
900
Replies
1
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K