• DocumentCode
    1549788
  • Title

    Using the superposition method to formulate the state variable matrix for linear networks

  • Author

    Skaar, Donald L.

  • Author_Institution
    San Diego State Univ., CA, USA
  • Volume
    44
  • Issue
    4
  • fYear
    2001
  • fDate
    11/1/2001 12:00:00 AM
  • Firstpage
    311
  • Lastpage
    314
  • Abstract
    This paper proposes a systematic method for writing the state variable matrix for nondegenerate linear electrical networks by using the superposition principle and also extends the procedure to cover degenerate networks. To use the proposed method, all inductances and capacitances in a network are replaced by ideal independent sources; the state variable equations are then written, often by inspection with nondegenerate networks, utilizing the superposition principle in conjunction with the resulting simplified electrical network
  • Keywords
    capacitance; inductance; linear network analysis; matrix algebra; capacitances; degenerate networks; ideal independent sources; independent cutsets; independent loops; inductances; linear networks; nondegenerate linear electrical networks; state equations; state variable equations; state variable matrix; superposition method; Capacitance; Capacitors; Equations; Helium; Inductance; Inductors; Inspection; Matrices; Voltage; Writing;
  • fLanguage
    English
  • Journal_Title
    Education, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9359
  • Type

    jour

  • DOI
    10.1109/13.965777
  • Filename
    965777