• DocumentCode
    1428622
  • Title

    2002 IEEE Fellow Nominations

  • Author

    Berkovich, Y. ; Shenkman, A.

  • Author_Institution
    Holon Acad. Inst. of Technol., Israel
  • Volume
    21
  • Issue
    2
  • fYear
    2001
  • Firstpage
    15
  • Lastpage
    15
  • Abstract
    The most common method of analysis and design of AC circuit driven by sinusoidal sources, i.e., the symbolic method, is based on using complex numbers. A system of hypercomplex numbers is created for obtaining a new complex number method. This system expands the concept of numbers and gives meanings to equations and transforms with discontinuous functions and makes it possible to describe various non-Euclidean spaces. The proposed method of analyzing linear electric networks with nonsinusoidal voltages and currents enables numerical calculations to be made for complex circuits by using standard software.
  • Keywords
    linear network analysis; power systems; AC circuit; complex number method; discontinuous functions; electric networks; hypercomplex numbers; hypernion numbers; linear electric networks; non-Euclidean spaces; nonsinusoidal currents; nonsinusoidal sources; nonsinusoidal voltages; symbolic method; Algebra; Circuit analysis; Equations; Impedance; Modules (abstract algebra); Polynomials; Resistors; Software standards; Transforms; Voltage;
  • fLanguage
    English
  • Journal_Title
    Power Engineering Review, IEEE
  • Publisher
    ieee
  • ISSN
    0272-1724
  • Type

    jour

  • DOI
    10.1109/39.896821
  • Filename
    896821