Abstract

Phasors provide a simple way to analyze sinusoidally excited linear circuits. Solutions of those circuits would be undoable otherwise. Besides, measurement units in phasors are a technological resource that powers with precision the observation of the electric power system dynamic state. In the last technological research in electronics, through this units tension phasors and current phasors are obtained in a synchronized way. Since the analysis of complex circuits with resistors, inductors and capacitors for sinusoidal entry types is time consuming, the sinusoidal analysis by phasors is a simple way to analyze such circuits without solving the differential equations. This applies to the case of the sinusoidal entries to a given frequency and once the system is in a stable state. This analysis is shown in this article. Key words: Sinusoidally excited linear circuit analysis, tension phasors, current phasors.

Highlights

  • Phasors from the linear algebra perspective applied to RLC circuitsPhasors provide a simple way to analyze sinusoidally excited linear circuits

  • In the first engineering classes, sometimes linear algebra (Grossman, 2005) is presented without applications in engineering of vector spaces

  • Measurement units in phasors are a technological resource that powers with precision the observation of the electric power system dynamic state

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Summary

Phasors from the linear algebra perspective applied to RLC circuits

Phasors provide a simple way to analyze sinusoidally excited linear circuits. Solutions of those circuits would be undoable otherwise. Since the analysis of complex circuits with resistors, inductors and capacitors for sinusoidal entry types is time consuming, the sinusoidal analysis by phasors is a simple way to analyze such circuits without solving the differential equations. This applies to the case of the sinusoidal entries to a given frequency and once the system is in a stable state.

INTRODUCTION
The diphase coincides with the angle of the vector
The complex plane
Application in RLC circuits
CONCLUSIONS
Full Text
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