Overview
ABSTRACT
This article focuses on the various methods of analyzing linear circuits. Study methods in the Laplace space approach or sinusoidal modes are discussed. In the case of simple circuits, the resolution is carried out using "divider bridge" results and/or the theorem of Millman. Matrix methods are given for the study of more complex circuits. In the case of the study of the circuit in the space of time, the method of temporal analysis by state variables is described and illustrated. The concept of transfer function is defined as well as related topics: form, stability, frequency response, and finally, energy considerations in the case of sinusoidal mode are set out.
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André PACAUD: SUPELEC engineer
INTRODUCTION
In the most general case, the analysis of an electrical circuit involves determining the currents flowing in all the branches (or the voltages across all the branches) of the circuit in response to one or more given actions.
Depending on the complexity of the circuit on the one hand, and the nature of the action(s) on the other, we have to choose between different analysis methods (use of the Laplace transform, analysis in time, use of a matrix method that can easily be implemented on a computer...). This E102v2 article attempts to answer these questions.
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Linear electrical circuits
Different methods
