A method of constructing orthogonal operator projectors for expanding a vector-function (for example, the voltages and currents of a multiphase electromagnetic system) into orthogonal components, symmetrical with respect to one of the elements of a finite multiplicative cyclic group of linear operators, is proposed. This method is a mathematical generalization of the method of current and voltage symmetrical components.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
C. L. Fortescue, Trans. AIEE, 37, 1027 (1918).
L. R. Neiman and P. L. Kalantarov, Theoretical Principles of Electrical Engineering. Pt. 2. Theory of AC Circuits [in Russian], Gosenergoizdat, Moscow–Leningrad (1954).
O. G. Grib, Izmer. Tekh., No. 10, 45 (1987); Measur. Techn., 30, No. 10, 1007 (1987).
V. V. Voevodin and Yu. A. Kuznetsov, Matrices and Computations [in Russian], Nauka, Moscow (1984).
A. I. Mal’tsev, Principles of Linear Algebra [in Russian], Nauka, Moscow (1970).
A. I. Kostrikin, Introduction to Algebra [in Russian], Nauka, Moscow (1977).
R. Edwards, Fourier Series in a Modern Form. Vol. 2 [Russian translation], Mir, Moscow (1985).
L. A. Vainshtein and D. E. Vakman, Frequency Separation in the Theory of Oscillations and Waves [in Russian], Nauka, Moscow (1983).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izmeritel’naya Tekhnika, No. 1, pp. 42–47, January, 2009.
Rights and permissions
About this article
Cite this article
Kazakov, O.A. Orthogonal projectors and the method of symmetrical components for multiphase electromagnetic systems. Meas Tech 52, 65–73 (2009). https://doi.org/10.1007/s11018-009-9228-0
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11018-009-9228-0