


Politecnico di Torino  
Academic Year 2015/16  
01NKVNC Power systems 

Master of sciencelevel of the Bologna process in Electrical Engineering  Torino 





Subject fundamentals
The course belongs to the learning area of Electroenergetic systems and is aimed at providing the fundamental notions for the understanding and analysis of the steadystate and dynamic phenomena in power systems, in particular in high voltage transmission systems. The contents refer to the structure and model of transmission systems, numerical techniques for loadflow calculations in steadystate conditions, frequency and voltage control systems, and behaviour in fault conditions. The topics are developed with an application focus, orientated towards the issues referred to the Italian and European power systems.

Expected learning outcomes
The course contents aim at providing knowledge and understanding skills referred to the physical phenomena, to the models and to the numerical techniques for the power systems in normal and fault conditions, as well as power system dynamics and control.
On the application side, knowledge and understanding aspects refer to the ones indicated for the Electroenergetic systems learning area. The minimum objectives of the course include:  ability to solve simple circuits representative of the problems characterising the power systems in normal and fault conditions;  ability to correctly formulate and handle power system models and equations;  knowledge of the numerical techniques for the solution of the power system equations;  knowledge of the principles and architecture of frequency and voltage control systems;  understanding of the physical meaning of the major phenomena occurring in power systems. 
Prerequisites / Assumed knowledge
Knowledge and skills required as prerequisites for attending the course refer to:
 basic notions of matrix calculations, electrical circuit analysis, automatic control systems;  structure of the electrical systems for electrical energy production, transmission and utilization;  behaviour of electrical machines in normal and fault conditions;  basic programming (e.g., Matlab) 
Contents
1. Power systems components (22 hours)
Per unit method. Electrical lines: equations, parameters, equivalent circuits. Fundamental problems of the power transmission, line with: no load, surge impedance load, assigned voltage at both ends. Two and three windings transformers. Generators. Loads. 2. Normal operation (18 hours) Network structures, nodes and branches. Admittance and impedance matrices. Loadflow equations. Loadflow solution methods. Approximate models and methods. Active / reactive decoupling. Elementary twonode system: angle and voltage stability. Active and reactive flow control. Control transformers. Operating constraints. Power system states. N1 security. 3. Fault analysis (18 hours) Short circuit current components. Short circuit sources. Rotating machine behaviour. Network and component models. Threephase faults. Symmetrical components. Asymmetrical faults. Earth fault and earthing systems. 4. Frequency and active power control (18 hours) Generator speed control. Frequency primary control. Frequency secondary control. Frequency and power control with interconnected areas. Emergency control. 
Delivery modes
In addition to lectures (76 hours), the course programme includes computer laboratory activities (24 hours) with the development of simple Matlab programs for transmission line analysis, loadflow solution of a 2node system, symmetrical and asymmetrical fault analysis of a 3node system.

Texts, readings, handouts and other learning resources
There is no text covering the whole course topics.
Reference textbooks: F.Iliceto, "Impianti elettrici", vol. 1, Patron, Bologna, ISBN 9788855517256 (in Italian). J.J.Grainger, W.D.Stevenson, Power system analysis, McGraw Hill, ISBN 9780070612938. P.Kundur, Power system stability and control, Tata McGraw Hill, ISBN 9780070635159. Other books: R.Marconato, Electric power systems. Vol.1  Background and basic components. CEI  Comitato Elettrotecnico Italiano, Milano, ISBN 8843200143. R.Marconato, Electric power systems. Vol. 2  Steadystate behaviour controls, short circuits and protection systems. CEI  Comitato Elettrotecnico Italiano, Milano, ISBN 8843200259. R.Marconato, Electric power systems. Vol. 3  Dynamic behaviour, stability and emergency controls. CEI  Comitato Elettrotecnico Italiano, Milano, ISBN 9788843200610. 
Assessment and grading criteria
The exam consists of a written test with theory questions (maximum score 27/30) and the evaluation of one of the computer programs developed during computer laboratory activities (maximum score 3/30). The total score is the sum of the scores of the written test and of the computer program. The computer program submission is not mandatory, but it requires the attendance of the computer laboratory activities.

