Matrix therory - Electrical Circuits

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SUMMARY

The discussion centers on the feasibility of constructing impedance or admittance matrices based solely on circuit connections. Participants agree that testing the z (impedance) and y (admittance) matrices is essential to determine if the element values are finite. Additionally, once a valid matrix is established, conversion to h, A, or s parameters can be performed using established conversion formulas. The importance of topological analysis in electrical networks is also highlighted as a key area for further exploration.

PREREQUISITES
  • Understanding of impedance and admittance matrices
  • Familiarity with z and y matrix formulations
  • Knowledge of conversion formulas for h, A, and s parameters
  • Basic concepts of topological analysis in electrical circuits
NEXT STEPS
  • Research the process of constructing z and y matrices in electrical circuits
  • Study the conversion formulas for h, A, and s parameters
  • Explore topological analysis techniques for electrical networks
  • Review case studies on the application of impedance/admittance matrices in circuit design
USEFUL FOR

Electrical engineers, circuit designers, and students studying electrical circuit theory who are interested in matrix analysis and network topology.

erezb84
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Theoretic question:
is there a way to know if it is no possible to write impedance/admitance matrix (depend on which method we want - volage or currents) just from the circuite connections?

Thanks!
 
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I think you just have to try the z and y matrices to see if the element values are finite or not. I'm sure there is a rule but is it worth memorizing?

Once you have found a valid matrix you can convert to some other one, like h, A or s parameters, with the conversion formulas.
 
You should research topological analysis of networks. See:

http://en.wikipedia.org/wiki/Topology_(electrical_circuits )

https://www.worldscibooks.com/engineering/2446.html
 
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