Title :
2002 IEEE Fellow Nominations
Author :
Berkovich, Y. ; Shenkman, A.
Author_Institution :
Holon Acad. Inst. of Technol., Israel
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;
Journal_Title :
Power Engineering Review, IEEE