Transposing phasor equation into instantaneous values equations using Hilbert transform

Author

Muntean, Oana

Author_Institution

Tech. Univ. of Cluj-Napoca, Cluj-Napoca, Romania

fYear

2014

fDate

2-5 Sept. 2014

Firstpage

1

Lastpage

5

Abstract

This paper presents an approach to electrical circuits using Hilbert transform. By applying Hilbert transform to linear circuit equations under sinusoidal form, (-π/2) phase shifting occurs. This method can be extended to complex form circuits analysis. Applications refer strictly to sampled signals, discrete signals. The input signal is a signal under the harmonic form. An application that determines the analysis of two RLC circuits - series respectively series - parallel - powered by a constant sinusoidal current is developed.

Keywords

Hilbert transforms; linear network analysis; Hilbert transform; RLC circuits; complex form circuits analysis; constant sinusoidal current; discrete signals; electrical circuits; harmonic form; instantaneous values equations; linear circuit equations; phase shifting; phasor equation; sampled signals; sinusoidal form; Circuit analysis; Equations; Fourier transforms; Linear circuits; Mathematical model; RLC circuits; Fourier transform; Hilbert transform; harmonic signal;

fLanguage

English

Publisher

ieee

Conference_Titel

Power Engineering Conference (UPEC), 2014 49th International Universities

Conference_Location

Cluj-Napoca

Print_ISBN

978-1-4799-6556-4

Type

conf

DOI

10.1109/UPEC.2014.6934825

Filename

6934825