Description

• Quadrupole: voltage, current and power amplifiers. Input and output impedances, amplifications and gains factors.Impedance adapter amplifier (follower amplifier).
• Complex model of electrical system and circuits: First order R,C,L circuits, complex impedance, harmonic response (both temporal and complex forms),magnitude and phase. Transfer functions (simple and combined). Circuit and system computation with complex model. Relationships between complex and temporal forms. Low-pass and high-pass filters. Bode diagram: computation, measure and utilities. Second order filters. Band-pass filters, Cut-off frequency,damping factor. Simulation with spice and scilab.

Compétences visées

The student must demonstrate its ability to use the methodologies learned on circuits and systems which are different from those used during the course and exercises sessions (with the same order of complexity). He is able to verify the results he gets with a simulator.
At the end of this subject the student will be able to: For complex modeling, use the superposition theorem in order to compute a voltage or current in case of a single source which included the sum of different sinusoidal components (amplitudes, frequencies) or different sources; computes modulus and argument as a ω function from a given transfer function; compute the temporal expression of the output from a given transfer function and the temporal sinusoidal input expression; compute the output for a sum of sinusoidal inputs at different frequencies(superposition theorem); compute and draw the asymptotic gain and phase Bode diagrams from the transfer function equation; draw the look of the real Bode diagrams started with asymptotic drawing; compute the remarkable points of a Bode diagram; compute transfer function for a cascade of functional blocks or and additive one; use the Bode diagram to compute the temporal response to an additive combinaison of sinusoidal inputs; write and recognize the canonical transfer function of the second order filters (low,high, band-pass); find real poles of a second order denominator (place them on a Bode diagram), find frequency and gain for max gain point of the second order low-passfilter; compute the bandwidth as a function of Q and ω0 (band-pass); compute the slope on the gain asymptotic diagrams, limits on phase diagram For quadrupoles, draw or recognize a quadrupole model and identify its components ; compute (simple cases) and measure the different elements value of a quadrupole (DC and complex mode) ; compute voltage, current and power amplifications ; use of dB, dBv and dBmV ; understand and recognize an impedance adaptation problem ; Understand the model of an ideal follo wer amplifier ; understand the filter block representation ; transform a component circuit in a filter block representation.

Modalités d'organisation et de suivi

Didier Demigny (Uni. Rennes 1) is in charge of this teaching unit and he will teach the 12 hrs lecture courses
This course covers 2 parts: on the one hand, the measurement of the characteristics and performance of quadrupole amplifier chains, possibly including filters, and on the other hand, the use of complex modelling to study the frequency behavior of electrical circuits or filter functional blocks. The construction and operation of Bode diagrams, the functional study of 1st and 2nd order filters are at the heart of this second part. The exercises are coupled with practical exercises (preparation, interpretation) and also functional simulation (scilab) to reinforce learning.
 

Bibliographie

Fundamentals of Electrical Engineering by Giorgio Rizzoni which can be free-loaded on the net.
Before the course, read Appendix C, particularly Parts C1 and C2.
Chap.1, chap.2 and its exercises 2.23 and 2.24, chap.4 part 4.2, chap.5 part 5.3, appendix A part on complex numbers
Chap.4 part 4.4.
Chap.7 part 7.1 and 7.2.
Chap.6 part 6.1 and part 6.2. Stop page 258. Look to example 6.4 for understanding and for computation methodology with Thevenin theorem...
Chap.6 part 6.3
Chap.6 part 6.2. from page 259 to 265.