Educational offer - University of Padova

Information on the course unit

Degree course	Second cycle degree in ENERGY ENGINEERING IN0528, Degree course structure A.Y. 2014/15, A.Y. 2019/20	bring this page with you
Number of ECTS credits allocated	6.0
Type of assessment	Mark
Course unit English denomination	MODERN CONTROL FOR ENERGY SYSTEMS
Department of reference	Department of Industrial Engineering
Mandatory attendance	No
Language of instruction	English
Branch	PADOVA
Single Course unit	The Course unit can be attended under the option Single Course unit attendance
Optional Course unit	The Course unit can be chosen as Optional Course unit

Syllabus

Prerequisites:	No specific requirements. Familiarity with fundamentals of linear algebra (matrix operations, eigenvalues and eigenvectors, base transformation, trace, determinant, inversion, exponential of matrix,..) and complex numbers (rectangular and polar representations, operations with complex numbers, Euler’s formula,..)
Target skills and knowledge:	Ability to derive a mathematical model of a physical system in terms of continuous-time differential equations, in particular for thermal, energy and hydraulic systems. Ability to understand the characteristics in time and frequency domains of general dynamic systems. Ability to determine operating equilibrium conditions. Linearization about equilibrium conditions. Ability to design a PID controller for linear dynamic systems SISO that meets the desired performance requirements. Particular emphasis will be placed on application of the mathematical tools to realistic energy systems and the use of simulative software tools such as Matlab and Simulink.
Examination methods:	Written exam (2.5 hours)
Assessment criteria:	The assessment of the preparation of the student will be based ' on his/her understanding of the topics, on the acquisition of concepts and methodologies proposed and the ability to apply them in an autonomous and knowledgeable way.
Course unit contents:	- Representation of SISO LTI systems: differential equations, transfer function, impulse response. - Laplace transform and its properties'. Transfer function. Inverse Laplace Transform. - State-space representation of dynamical systems: linear and non-linear - Introduction to Matlab/Simulink and the Control Systems Toolbox - Stability of dynamical systems: equilibrium points - Linearization about equilibrium points - Modeling: Descriptions and derivation of mathematical models for thermal, energy and hydraulic systems using differential equations with examples - Time-domain analysis of LTI systems: raising time, overshoot, settling time - Bode plot: definition of resonance frequency, the resonance peak, bandwidth, connections with the time domain behaviour - Properties of feedback systems -PID controllers: considerations on the choice of actions, design of controllers P, PI, PD, PID using frequency domain approach
Planned learning activities and teaching methods:	Lectures on the black board which alternate between theory and examples and exercises in line with those required in the witten and oral exams.
Additional notes about suggested reading:	The main material is based on the lecture notes, PDF notes provided by the instructor. The following textbooks can be used as complementary reading.
Textbooks (and optional supplementary readings)	Karl A. Astrom, Richard Murray, Feedback systems: an introduction for scientists and engineers Control of Dynamic Systems. --: Prentice Hall, 2016. Available on line: http://www.cds.caltech.edu/~murray/mlswiki/?title=First_edition Franklin, Gene F.; Powell, David J., Feedback control of dynamic systems. New York: Pearson, 2019.