Purpose : Learn to analyse basic electrical circuits: basic laws, 1st order circuits, linear and non linear operation of ideal AOP.
Understand the various quantities involved in a system: quantities which actuate the system (inputs) and quantities which characterize the system status (outputs or responses of the system).
Establish the relationships between these inputs and outputs; to deduce properties of the system: frequency and time behavior, dominant modes, ...
Understand the study of an electric circuit as a system represented by the combination of quadrupoles, discover the concept of adaptation.
Content : The fundamental laws of electrical circuits are presented and applied to first order circuits, basic circuits with ideal op-amp in linear and non linear operation.
After some generalities on physical systems, we focus on the notion of transmittance or transfer function of linear systems. The study of the frequency response is used to introduce harmonic BODE representation, widely used in electronics. Using the Laplace transform, presented in mathematics, then allows to generalize the notion of transmittance and to use it to study the transient response in time domain (pulse, step and ramp responses). Aspects of knowledge or behavior models are introduced. The concept of stability is barely touched, opening the way for feed-back system control studied later (S6).
This presentation of linear systems is complemented by an introduction to the study of quadrupole, addressing a presentation of the main representative matrices (impedance, admittance, hybrid, transfer), their properties (symmetries, associations), characteristics quantities: input/output impedances, gains, iterative impedance, to finish on the concept of power adaptation which will be detailed in the following semester.
I / Fundamentals on basic linear circuits
Linear ideal op-amp operation
Non linear ideal op-amp operation
II / Linear Systems Analysis
Concepts of system, generalized transfer function or transmittance
Harmonic response and BODE representation
Transfer function and Laplace Transform
Transient response time
III / Quadrupole
Properties: symmetries, associations
Characteristic quantities: input/output impedances, gains, iterative impedance, concept of power adaptation
Circuits - Ideal Op-Amp - Systems - Modeling - Transfer functions - Bode - Frequency response - Transient response - Quadrupoles - Matrices - Adaptation
http://moodle.ipb.fr/course/view.php?id=890, cours E1 EA118 Circuits Systèmes I