
MODERN CONTROL FOR ENERGY SYSTEMS
Second cycle degree in ENERGY ENGINEERING
Campus:
PADOVA
Language:
English
Teaching period:
First Semester
Lecturer:
LUCA SCHENATO
Number of ECTS credits allocated:
6
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, Eulerâ€™s formula,..) 
Examination methods:

Written exam (3 hours)
Oral exam (optional upon request of the student) 
Course unit contents:

 Modeling: Descriptions and derivation of mathematical models for thermal, energy and hydraulic systems using differential equations with concrete examples: heat exchangers, hydraulic pumps and valves, temperature control, fluid level control in tanks.
 Introduction to MATLAB and SIMULINK for Control Systems
 Statespace representation of dynamical systems: linear and nonlinear, modal analysis, forced and natural responses, transient and steadystate behaviour
 Stability of dynamical systems: equilibrium points, Lypunov functions
 Linearization about equilibrium points
 Laplace transform and its properties'. Transfer function. Inverse Laplace Transform.
 Representation SISO LTI systems: differential equations, transfer function, impulse response.
 Timedomain analysis of LTI systems: raising time, overshoot, and connections with Bode diagrams
 Bode plot: definition of resonance frequency, the resonance peak, bandwidth.
 Nyquist plot: open loop and closed loop. Nyquist criterion to establish stability, vector error, phase margin, gain margin.
PID controllers: considerations on the choice of actions, design of controllers P, PI, PD, PID using frequency domain approach
 Application of the previous mathematical tools for the design of control systems for energy systems and validation using Matlab/SImulink 

