Second cycle degree in ENERGY ENGINEERING

Campus: PADOVA

Language: English

Teaching period: First Semester


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, Euler’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
- State-space representation of dynamical systems: linear and non-linear, modal analysis, forced and natural responses, transient and steady-state 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.
- Time-domain 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