Principles of Passive Electrical Circuit Modeling

  • François E. Cellier


In this chapter, we shall discuss issues relating to the modeling of simple passive electrical circuits consisting of sources, resistors, capacitors, and inductors only. The traditional approach to this type of system is through either mesh equations or node equations. However, the resulting models are not in a state—space form and they cannot easily be converted into a state—space form thereafter. We shall also discuss another technique that allows us to derive a state—space model directly and we shall see why this approach is not commonly used. Very often, the resulting equations contain either algebraic loops or structural singularities.


Loop Current Node Equation Shunt Resistor Mesh Equation Branch Current 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [3.1]
    P. R. Bélanger, E. L. Adler, and N. C. Rumin (1985), Introduction to Circuits with Electronics: An Integrated Approach, Holt, Rinehart and Winston, New York.Google Scholar
  2. [3.2]
    Leonard S. Bobrow (1981), Elementary Linear Circuit Analysis, Holt, Rinehart and Winston, New York.Google Scholar
  3. [3.3]
    Gene H. Hostetter, Clement J. Savant, Jr., and Raymond T. Stefani (1989), Design of Feedback Control Systems, second edition, Saunders College Publishing, New York.Google Scholar
  4. [3.4]
    Lawrence P. Huelsman (1984), Basic Circuit Theory, second edition, Prentice—Hall, Englewood Cliffs, N.J.zbMATHGoogle Scholar
  5. [3.5]
    David E. Johnson, John L. Hilburn, and John R. Johnson (1978), Basic Electric Circuit Analysis, Prentice—Hall, Englewood Cliffs, N.J.Google Scholar

Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • François E. Cellier
    • 1
  1. 1.Department of Electrical and Computer Engineering and Applied Mathematics ProgramUniversity of ArizonaTucsonUSA

Personalised recommendations