Power systems analysis

1. Introduction to power systems

• Structure of power systems
• Classification as a function of the rated voltage

2. Recall of fundamental principles for the analysis of AC circuits and systems

• Recall of fundamentals aspects for the study of AC circuits: phasors, instantaneous powers, AC powers
• Recall of fundamentals aspects for the study of AC three phase circuits
• Study of unsymmetrical three phase circuits: the symmetrical component analysis

3. Elements of transmission lines for the transportation of electricity

• Derivation of transmission lines equations from electromagnetic field theory
• Transmission lines modeling
• Expressions of electrical power flows in AC transmission lines
• Numerical simulation of transmission lines
• Heat balance of overhead transmission lines and cables
• Thermal behaviour in case of overloading and short circuit
• Design principles of transmission lines and cables

4. Fundamentals of electrical machines

• Magnetic circuits and operation of transformers
• Transformers equivalent circuits and parameters derivation
• Rotating synchronous machines: operation and equivalent circuit

5. The power flow problem

• From the physical network to the admittance matrix (nodal analysis in steady state conditions)
• Formulation of the power flow problem in cartesian and polar coordinates
• Numerical solution of the power flow problem
• Applications of the power flow to analyse the behaviour of power systems

6. Short circuit analysis and protections

• Electromagnetic transients associated to short circuits
• Breakers characteristics and their selection
• Computation of symmetrical and unsymmetrical short circuit currents using the symemtrical components analysis
• Protections against short circuits and relays coordination
• Short circuit behaviour of systems with grounded/ungroudned neutral
• Protections of systems with grounded/ungroudned neutral

7. Frequency regulation in power systems

• Power balance and frequency in power systems
• Primary frequency control
• Secondary frequency control
• Dynamic simulation of power systems