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Introduction to electrical engineering/Electrical machines
01NLDJM
A.A. 2023/24
Introduction to electrical engineering/Electrical machines (Electrical machines)
The course, divided into two parts, aims to provide: - The main concepts about analysis of electrical and magnetic circuit with particular attention to aspects of DC and low frequency; - Methodological bases for understanding the operating principles and key operational concepts of electromechanical equipment and in general a rational, proper and safe use of electrical equipment; - The operating principles and tools to evaluate the performance of the main electrical machinery, in view of their application in industrial processes
Introduction to electrical engineering/Electrical machines (Introduction to electrical engineering)
The course, divided into two parts, aims to provide: - The main concepts about analysis of electrical and magnetic circuit with particular attention to aspects of DC and low frequency; - Methodological bases for understanding the operating principles and key operational concepts of electromechanical equipment and in general a rational, proper and safe use of electrical equipment; - The operating principles and tools to evaluate the performance of the main electrical machinery, in view of their application in industrial processes
Introduction to electrical engineering/Electrical machines (Electrical machines)
The course is divided into two integrated and coordinated modules . It aims at providing: - the main concepts about analysis of electrical and magnetic circuit with particular attention to aspects of DC and low frequency; - the methodological bases for understanding the operating principles and key operational concepts of electromechanical equipment and in general a rational, proper and safe use of electrical equipment; - the operating principles and tools to evaluate the performance of the main electrical machinery, in view of their application in industrial processes
Introduction to electrical engineering/Electrical machines (Introduction to electrical engineering)
Introduction to Electrical Engineering refers to the modelling of electrical phenomena, using the theory of lumped parameters circuits. However, exploiting physical analogies, it is possible to use models and methods of this Subject in to study other physical theories (stationary and unstationary thermal conduction problems, hydraulic problems, etc…). Because of the creation of transversal skills, this Subject is included in several Engineering curricula. Introduction to Electrical Engineering aims at providing the capability of modelling electrical phenomena in a rigorous way, introducing the method for describing connections of electrical elements and circuits. The main tools to solve electrical circuits will be developed to handle direct current and alternating current circuits. Particular attention will be given to real world applications, especially operating at industrial frequency
Introduction to electrical engineering/Electrical machines (Electrical machines)
Knowledge of methods to perform circuit analysis in electrical engineering. Knowledge of the principles of main electro-mechanical equipment and electrical machinery used in industrial Knowledge of criteria for use and application fields of the electrical machinery. Ability to analyze electrical circuits operating under steady currents Ability to analyze and evaluate the performance of electric machines Ability to make the choice of the appropriate electrical equipment to be included in mechanical systems.
Introduction to electrical engineering/Electrical machines (Introduction to electrical engineering)
Knowledge of methods to perform circuit analysis in electrical engineering. Knowledge of the principles of main electro-mechanical equipment and electrical machinery used in industrial Knowledge of criteria for use and application fields of the electrical machinery. Ability to analyze electrical circuits operating under steady currents Ability to analyze and evaluate the performance of electric machines Ability to make the choice of the appropriate electrical equipment to be included in mechanical systems.
Introduction to electrical engineering/Electrical machines (Electrical machines)
Module: Electrical Machines Knowledge of the principles of main electro-mechanical equipment and electrical machinery used in industrial environment Knowledge of criteria for use and application fields of the electrical machinery Ability to analyze and evaluate the performance of electric machines Ability to make the choice of the appropriate electrical equipment to be included in mechanical systems.
Introduction to electrical engineering/Electrical machines (Introduction to electrical engineering)
At the end of the Course, Students will acquire the following skills: * ability to recognise the main electrical components and interconnections * knowledge of methods to perform circuit analysis in electrical engineering. * ability to analyse electrical circuits operating in DC * ability to analyse electrical circuits operating in transient conditions * ability to analyse electrical circuits operating in AC * knowledge of the main applications in AC (transmission line, power factor correction, three-phase circuits)
Introduction to electrical engineering/Electrical machines (Electrical machines)
Knowledge of ordinary differential equations, complex numbers and basic concepts of electromagnetism
Introduction to electrical engineering/Electrical machines (Introduction to electrical engineering)
Knowledge of ordinary differential equations, complex numbers and basic concepts of electromagnetism
Introduction to electrical engineering/Electrical machines (Electrical machines)
Module: Electrical Machines Knowledge of the content of Introduction to Electrical Engineering module
Introduction to electrical engineering/Electrical machines (Introduction to electrical engineering)
Knowledge of linear algebra, ordinary differential equations, complex numbers and basic concepts of electromagnetic (electrostatic field, current field, magnetic field, quasi static fields)
Introduction to electrical engineering/Electrical machines (Electrical machines)
Introduction to Electrical Engineering Lectures PART I: PRELIMINARIES (6h) Basic definitions (2h) • models • electrical engineering and lumped circuit models: hypotheses • electrical components and terminals, two-terminal components • current e ammeter • voltage and voltmeter • passive and active sign convention • electrical power (wattmeter) and energy, passivity Topology (1h) • operative definitions: node, branch, loop, mesh, graph • Kirchhoff’s current law (surface, node) • Kirchhoff’s voltage law (closed path, mesh) Two-terminal components and constitutive equations (2h) • constitutive equations • classifications: control type, linearity, time invariance • passive elements 1. resistor (resistance, conductance), short circuit, open circuit, ideal switch 2. electric energy and capacitor 3. magnetic energy and inductor • active elements 1. voltage generator 2. current generator Solution of the fundamental problem of circuit theory (1h) • definition • linearly independent equations: KCL, KVL constitutive equations • method of sparse tableau • adynamic networks (algebraic equations), dynamic (differential equations), order of a network PART II: ADYNAMIC CIRCUITS (8h) Special methods for the solution of electrical circuits (8h) • equivalence principle • series and parallel connection 1. definitions 2. series of resistors and voltage division 3. parallel of resistors and current division 4. examples 5. series of generators 6. parallel of generators • star and delta connection • superposition principle (proof) • Millman’s theorem (proof) • Thevenin’s equivalent circuit (proof) • Norton’s equivalent circuit (proof) • Tellegen’s theorem • Maximum power transfer PARTE III: DYNAMIC CIRCUITS (16h) Transient analysis (4h) • constitutive equations of capacitor and inductor • series and parallel connection of capacitors and inductors • solutions of differential equations with constant coefficients: outline 1. associated homogeneous equations 2. particular solution 3. initial conditions • first order differential equations 1. free and forced evolution 2. transient and permanent evolution • RC circuit • RL circuit • Solution of first order circuits with constant inputs (Thevenin, Norton) • switches Sinusoidal steady state (8h) • (summary of complex number algebra) • sinusoidal waveforms • phasor of a sinusoidal waveform • properties of phasors • topological and constitutive equations in phasor domain • impedance, admittance and generalized Ohm’s law • generalization of principles and theorems in phasor domain • maximum power transfer in AC • phasor diagram • frequency response • power in sinusoidal steady state 1. instantaneous power 2. real and reactive power 3. complex and apparent power • Boucherot’s law • power factor correction of inductive single-phase loads • non sinusoidal periodic regime Three-phase circuits (4h) • origin • definition: balanced and unbalanced three phase circuits, line (line-to-line) phase (line-to-neutral) voltages • star and delta connected loads • series and parallel connection of loads • single phase equivalent circuit • power • power factor correction: star and delta connection of capacitors • connection of single-phase loads to three-phase circuits • suitability of three-phase systems 1. cost effectiveness 2. constant instantaneous power Practice lessons Practice # 1 KVL and KCL Constitutive equations General solution of electric circuits Practice # 2 Evaluation of equivalent resistances Solution of circuits by using voltage and current division Practice # 3 Use of superposition principle Thevenin and Norton equivalent circuits Millman’s theorem Practice # 4 Transient analysis Practice # 5 Sinusoidal steady state analysis of circuits in phasor domain Practice # 6 Sinusoidal steady state: method of power balance Practice # 7 Analysis of three-phase circuits Electrical Machines Lectures Introduction (1 h) • Ampere law. Magnetic flux. Lenz and Lorentz laws. Fundamental laws. Materials (3 h) • Soft and hard magnetic materials. Iron losses. • Conductors and insulators. Magnetic circuits (3 h) • Electromagnet. Magnetic reluctance. • Permanent magnets. • Circuits with permanent magnets. Thermal aspects (2 h) • Simplified thermal model. Thermal transients. • Types of services. Transformer (9 h) • Realization aspects. Ideal transformer: working principle. • Real transformer. • Equivalent circuit • Equivalent circuit under sinusoidal supply. Vector diagram. • Equivalent circuit parameters: no load and short circuit tests • Voltage drop. Efficiency • Parallel. • Three phase transformer Asynchronous machine (8 h) • Rotating magnetic field • Realization aspects. Wounded rotor and cage rotor • Working principle. Comparison with transformer • Energetic balance. • Mechanical characteristic. • Determination of parameters. • Losses and efficiency • Speed regulation DC machine (8 h) • Realization aspects. Rotor • Working principle. Torque and emf generation • Machine equations • Equivalent circuit • Separately excited machine. Mechanical characteristic • Speed regulation • Series excited machine. Mechanical characteristic. Commutation. Practice lessons Magnetic circuits (2 h) Numeric examples Thermal aspects (2 h) Numerical evaluation of the temperature in the machines. Transformer (5 h) Determination of parameters of the equivalent circuit Operation with load connected Three phase transformer Asyncronous machine (6 h) Determination of parameters. Determination of parameters and working conditions DC machine (4 h) Evaluation of torque and power in separately excited machines Evaluation of torque and power in series excited machines
Introduction to electrical engineering/Electrical machines (Introduction to electrical engineering)
Introduction to Electrical Engineering Lectures PART I: PRELIMINARIES (6h) Basic definitions (2h) • models • electrical engineering and lumped circuit models: hypotheses • electrical components and terminals, two-terminal components • current e ammeter • voltage and voltmeter • passive and active sign convention • electrical power (wattmeter) and energy, passivity Topology (1h) • operative definitions: node, branch, loop, mesh, graph • Kirchhoff’s current law (surface, node) • Kirchhoff’s voltage law (closed path, mesh) Two-terminal components and constitutive equations (2h) • constitutive equations • classifications: control type, linearity, time invariance • passive elements 1. resistor (resistance, conductance), short circuit, open circuit, ideal switch 2. electric energy and capacitor 3. magnetic energy and inductor • active elements 1. voltage generator 2. current generator Solution of the fundamental problem of circuit theory (1h) • definition • linearly independent equations: KCL, KVL constitutive equations • method of sparse tableau • adynamic networks (algebraic equations), dynamic (differential equations), order of a network PART II: ADYNAMIC CIRCUITS (8h) Special methods for the solution of electrical circuits (8h) • equivalence principle • series and parallel connection 1. definitions 2. series of resistors and voltage division 3. parallel of resistors and current division 4. examples 5. series of generators 6. parallel of generators • star and delta connection • superposition principle (proof) • Millman’s theorem (proof) • Thevenin’s equivalent circuit (proof) • Norton’s equivalent circuit (proof) • Tellegen’s theorem • Maximum power transfer PARTE III: DYNAMIC CIRCUITS (16h) Transient analysis (4h) • constitutive equations of capacitor and inductor • series and parallel connection of capacitors and inductors • solutions of differential equations with constant coefficients: outline 1. associated homogeneous equations 2. particular solution 3. initial conditions • first order differential equations 1. free and forced evolution 2. transient and permanent evolution • RC circuit • RL circuit • Solution of first order circuits with constant inputs (Thevenin, Norton) • switches Sinusoidal steady state (8h) • (summary of complex number algebra) • sinusoidal waveforms • phasor of a sinusoidal waveform • properties of phasors • topological and constitutive equations in phasor domain • impedance, admittance and generalized Ohm’s law • generalization of principles and theorems in phasor domain • maximum power transfer in AC • phasor diagram • frequency response • power in sinusoidal steady state 1. instantaneous power 2. real and reactive power 3. complex and apparent power • Boucherot’s law • power factor correction of inductive single-phase loads • non sinusoidal periodic regime Three-phase circuits (4h) • origin • definition: balanced and unbalanced three phase circuits, line (line-to-line) phase (line-to-neutral) voltages • star and delta connected loads • series and parallel connection of loads • single phase equivalent circuit • power • power factor correction: star and delta connection of capacitors • connection of single-phase loads to three-phase circuits • suitability of three-phase systems 1. cost effectiveness 2. constant instantaneous power Practice lessons Practice # 1 KVL and KCL Constitutive equations General solution of electric circuits Practice # 2 Evaluation of equivalent resistances Solution of circuits by using voltage and current division Practice # 3 Use of superposition principle Thevenin and Norton equivalent circuits Millman’s theorem Practice # 4 Transient analysis Practice # 5 Sinusoidal steady state analysis of circuits in phasor domain Practice # 6 Sinusoidal steady state: method of power balance Practice # 7 Analysis of three-phase circuits Electrical Machines Lectures Introduction (1 h) • Ampere law. Magnetic flux. Lenz and Lorentz laws. Fundamental laws. Materials (3 h) • Soft and hard magnetic materials. Iron losses. • Conductors and insulators. Magnetic circuits (3 h) • Electromagnet. Magnetic reluctance. • Permanent magnets. • Circuits with permanent magnets. Thermal aspects (2 h) • Simplified thermal model. Thermal transients. • Types of services. Transformer (9 h) • Realization aspects. Ideal transformer: working principle. • Real transformer. • Equivalent circuit • Equivalent circuit under sinusoidal supply. Vector diagram. • Equivalent circuit parameters: no load and short circuit tests • Voltage drop. Efficiency • Parallel. • Three phase transformer Asynchronous machine (8 h) • Rotating magnetic field • Realization aspects. Wounded rotor and cage rotor • Working principle. Comparison with transformer • Energetic balance. • Mechanical characteristic. • Determination of parameters. • Losses and efficiency • Speed regulation DC machine (8 h) • Realization aspects. Rotor • Working principle. Torque and emf generation • Machine equations • Equivalent circuit • Separately excited machine. Mechanical characteristic • Speed regulation • Series excited machine. Mechanical characteristic. Commutation. Practice lessons Magnetic circuits (2 h) Numeric examples Thermal aspects (2 h) Numerical evaluation of the temperature in the machines. Transformer (5 h) Determination of parameters of the equivalent circuit Operation with load connected Three phase transformer Asyncronous machine (6 h) Determination of parameters. Determination of parameters and working conditions DC machine (4 h) Evaluation of torque and power in separately excited machines Evaluation of torque and power in series excited machines
Introduction to electrical engineering/Electrical machines (Electrical machines)
Module: Electrical Machines Lectures Introduction (1 h) • Ampere law. Magnetic flux. Lenz and Lorentz laws. Fundamental laws. Materials (3 h) • Soft and hard magnetic materials. Iron losses. • Conductors and insulators. Magnetic circuits (3 h) • Electromagnet. Magnetic reluctance. • Permanent magnets. • Circuits with permanent magnets. Thermal aspects (2 h) • Simplified thermal model. Thermal transients. • Types of services. Transformer (9 h) • Realization aspects. Ideal transformer: working principle. • Real transformer. • Equivalent circuit • Equivalent circuit under sinusoidal supply. Vector diagram. • Equivalent circuit parameters: no load and short circuit tests • Voltage drop. Efficiency • Parallel. • Three phase transformer Asynchronous machine (8 h) • Rotating magnetic field • Realization aspects. Wounded rotor and cage rotor • Working principle. Comparison with transformer • Energetic balance. • Mechanical characteristic. • Determination of parameters. • Losses and efficiency • Speed regulation DC machine (8 h) • Realization aspects. Rotor • Working principle. Torque and emf generation • Machine equations • Equivalent circuit • Separately excited machine. Mechanical characteristic • Speed regulation • Series excited machine. Mechanical characteristic. Commutation. Practice lessons Magnetic circuits (2 h) Numeric examples Thermal aspects (2 h) Numerical evaluation of the temperature in the machines. Transformer (5 h) Determination of parameters of the equivalent circuit Operation with load connected Three phase transformer Asyncronous machine (6 h) Determination of parameters. Determination of parameters and working conditions DC machine (4 h) Evaluation of torque and power in separately excited machines Evaluation of torque and power in series excited machines
Introduction to electrical engineering/Electrical machines (Introduction to electrical engineering)
Lectures PART I: PRELIMINARIES (6h) Basic definitions (2h) • models • electrical engineering and lumped circuit models: hypotheses • electrical components and terminals, two-terminal components • current e ammeter • voltage and voltmeter • passive and active sign convention • electrical power (wattmeter) and energy, passivity Topology (1h) • operative definitions: node, branch, loop, mesh, graph • Kirchhoff’s current law (surface, node) • Kirchhoff’s voltage law (closed path, mesh) Two-terminal components and constitutive equations (2h) • constitutive equations • classifications: control type, linearity, time invariance • passive elements 1. resistor (resistance, conductance), short circuit, open circuit, ideal switch 2. electric energy and capacitor 3. magnetic energy and inductor • active elements 1. voltage generator 2. current generator Solution of the fundamental problem of circuit theory (1h) • definition • linearly independent equations: KCL, KVL constitutive equations • method of sparse tableau • adynamic networks (algebraic equations), dynamic (differential equations), order of a network PART II: ADYNAMIC CIRCUITS (8h) Special methods for the solution of electrical circuits (8h) • equivalence principle • series and parallel connection 1. definitions 2. series of resistors and voltage division 3. parallel of resistors and current division 4. examples 5. series of generators 6. parallel of generators • star and delta connection • superposition principle (proof) • Millman’s theorem (proof) • Thevenin’s equivalent circuit (proof) • Norton’s equivalent circuit (proof) • Tellegen’s theorem • Maximum power transfer PARTE III: DYNAMIC CIRCUITS (16h) Transient analysis (4h) • constitutive equations of capacitor and inductor • series and parallel connection of capacitors and inductors • solutions of differential equations with constant coefficients: outline 1. associated homogeneous equations 2. particular solution 3. initial conditions • first order differential equations 1. free and forced evolution 2. transient and permanent evolution • RC circuit • RL circuit • Solution of first order circuits with constant inputs (Thevenin, Norton) • switches Sinusoidal steady state (8h) • (summary of complex number algebra) • sinusoidal waveforms • phasor of a sinusoidal waveform • properties of phasors • topological and constitutive equations in phasor domain • impedance, admittance and generalized Ohm’s law • generalization of principles and theorems in phasor domain • maximum power transfer in AC • phasor diagram • frequency response • power in sinusoidal steady state 1. instantaneous power 2. real and reactive power 3. complex and apparent power • Boucherot’s law • power factor correction of inductive single-phase loads • non sinusoidal periodic regime Three-phase circuits (4h) • origin • definition: balanced and unbalanced three phase circuits, line (line-to-line) phase (line-to-neutral) voltages • star and delta connected loads • series and parallel connection of loads • single phase equivalent circuit • power • power factor correction: star and delta connection of capacitors • connection of single-phase loads to three-phase circuits • suitability of three-phase systems 1. cost effectiveness 2. constant instantaneous power Practice lessons Practice # 1 KVL and KCL Constitutive equations General solution of electric circuits Evaluation of equivalent resistances Solution of circuits by using voltage and current division Practice # 2 Use of superposition principle Thevenin and Norton equivalent circuits Millman’s theorem Practice # 3 Transient analysis Practice # 4 Sinusoidal steady state analysis of circuits in phasor domain Practice # 5 Sinusoidal steady state: method of power balance Practice # 6 Analysis of three-phase circuits
Introduction to electrical engineering/Electrical machines (Electrical machines)
Introduction to electrical engineering/Electrical machines (Introduction to electrical engineering)
Introduction to electrical engineering/Electrical machines (Electrical machines)
Introduction to electrical engineering/Electrical machines (Introduction to electrical engineering)
Introduction to electrical engineering/Electrical machines (Electrical machines)
Introduction to Electrical Engineering The lectures are given in the traditional mode by using the blackboard. Practice lessons consist in the numerical solution of exercises proposed by the lecturer. Electrical machines The lectures will be held with the use of powerpoint slides previously transferred to the students. Practice lessons will consist in the solution of numerical exercises.
Introduction to electrical engineering/Electrical machines (Introduction to electrical engineering)
Introduction to Electrical Engineering The lectures are given in the traditional mode by using the blackboard. Practice lessons consist in the numerical solution of exercises proposed by the lecturer. Electrical machines The lectures will be held with the use of powerpoint slides previously transferred to the students. Practice lessons will consist in the solution of numerical exercises.
Introduction to electrical engineering/Electrical machines (Electrical machines)
Module: Electrical machines The lectures will be held with the use of powerpoint slides previously transferred to the students. Practice lessons will consist in the solution of numerical exercises.
Introduction to electrical engineering/Electrical machines (Introduction to electrical engineering)
Theory lectures (39.5h) are given in the traditional mode writing all steps by hand on the whiteboard. Practice lessons (two groups, 10.5h) consist in the numerical solution of exercises proposed by the lecturer.
Introduction to electrical engineering/Electrical machines (Electrical machines)
Introduction to Electrical Engineering • Canova, Gruosso, "Introduction to Electrical Circuits", Progetto Leonardo, 2008 • Giorgio Rizzoni, "Principles and Applications of Electrical Engineering", 5/e, McGraw-Hill, 2007 Additional resources: slides of prof. Repetto course, available on the official website. Note: I recommend to take your own notes during class hours and metabolize the subject using the textbooks and slides as learning aids. Electrical machines • Ned Mohan, "Electric machines and drives: a first course", Wiley, 2012 • Slides of the course, available on the Portale della Didattica website. • Exercises to be solved in the classroom.
Introduction to electrical engineering/Electrical machines (Introduction to electrical engineering)
Introduction to Electrical Engineering * Canova, Gruosso, "Introduction to Electrical Circuits", Progetto Leonardo, 2008 * Giorgio Rizzoni, "Principles and Applications of Electrical Engineering", 6/e, McGraw-Hill, 2016 Note: I recommend to take your own notes during class hours and metabolize the subject using the textbooks and slides as learning aids. Electrical machines • Ned Mohan, "Electric machines and drives: a first course", Wiley, 2012 • Slides of the course, available on the Portale della Didattica website. • Exercises to be solved in the classroom.
Introduction to electrical engineering/Electrical machines (Electrical machines)
Module: Electrical machines • Ned Mohan, "Electric machines and drives: a first course", Wiley, 2012 • Slides of the course, available on the Portale della Didattica website. • Exercises to be solved in the classroom.
Introduction to electrical engineering/Electrical machines (Introduction to electrical engineering)
* C.K. Alexander, M.N.O. Sadiku, “Fundamentals of Electric Circuits”, 6/e, 2017 * G. Rizzoni, “Principles and Applications of Electrical Engineering”, 6/e, McGraw-Hill, 2016 * J.A. Svoboda, R.C. Dorf, “Introduction to Electric Circuits”, 9/e, Wiley, 2013 Handouts of the lessons and video recordings are available on the course webpage. Note: I recommend to take your own notes during class hours and metabolize the subject using the textbooks and slides as learning aids.
Introduction to electrical engineering/Electrical machines (Electrical machines)
Libro di testo; Esercizi; Esercizi risolti; Video lezioni dell’anno corrente; Video lezioni tratte da anni precedenti; Strumenti di auto-valutazione;
Introduction to electrical engineering/Electrical machines (Introduction to electrical engineering)
Libro di testo; Esercizi; Esercizi risolti; Video lezioni dell’anno corrente; Video lezioni tratte da anni precedenti; Strumenti di auto-valutazione;
Introduction to electrical engineering/Electrical machines (Electrical machines)
Text book; Exercises; Exercise with solutions ; Video lectures (current year); Video lectures (previous years); Self-assessment tools;
Introduction to electrical engineering/Electrical machines (Introduction to electrical engineering)
Text book; Exercises; Exercise with solutions ; Video lectures (current year); Video lectures (previous years); Self-assessment tools;
Introduction to electrical engineering/Electrical machines (Electrical machines)
Modalità di esame: Prova scritta (in aula); Prova orale facoltativa;
Introduction to electrical engineering/Electrical machines (Introduction to electrical engineering)
Modalità di esame: Prova scritta (in aula); Prova orale facoltativa;
Introduction to electrical engineering/Electrical machines (Electrical machines)
Exam: Written test; Optional oral exam;
Introduction to electrical engineering/Electrical machines (Introduction to electrical engineering)
Exam: Written test; Optional oral exam;
Introduction to electrical engineering/Electrical machines (Electrical machines)
The two modules have a common exam made of two parts. The written exam consists in the solution of four exercises, two each module, in approximately two hours. Topics of the exercises are: analysis of circuits in steady state (DC and AC), transients, single and three phase circuits, magnetic circuits, evaluation of the working conditions of transformers, asynchronous and DC machines. It is possible to use a scientific calculator and the official formula sheet uploaded on the course website. Candidates with positive scores (≥ 18/30, with a minimum of 8 in each of the 2 subjects) have access to the mandatory oral examination, consisting in the discussion of the exercises, and in theoretical questions on the main subjects of the course. A collection of past exams with solutions is available on the course website.
Introduction to electrical engineering/Electrical machines (Introduction to electrical engineering)
The two modules have a common exam made of two parts. The written exam consists in the solution of four exercises, two each module, in approximately two hours. Topics of the exercises are: analysis of circuits in steady state (DC and AC), transients, single and three phase circuits, magnetic circuits, evaluation of the working conditions of transformers, asynchronous and DC machines. It is possible to use a scientific calculator and the official formula sheet uploaded on the course website. Candidates with positive scores (≥ 18/30, with a minimum of 8 in each of the 2 subjects) have access to the mandatory oral examination, consisting in the discussion of the exercises, and in theoretical questions on the main subjects of the course. A collection of past exams with solutions is available on the course website.
Introduction to electrical engineering/Electrical machines (Electrical machines)
Exam: Written test; Optional oral exam;
Introduction to electrical engineering/Electrical machines (Introduction to electrical engineering)
Exam: Written test; Optional oral exam;
Introduction to electrical engineering/Electrical machines (Electrical machines)
The modules are integrated and coordinated, thus there is a common exam with the following assessment methods and criteria. Description The exam includes a written test and an optional oral test. The oral test can be requested according to the rules described below. The written exam will be given at the scheduled date and time, as communicated to students and will consist of two parts: Introduction to Electrical Engineering and Electrical Machines. Each part has a maximum score of 16 points. Each part has 1. a first part with 4 quizzes related to the theory lessons. These questions can be multiple-choice quizzes with four options and only one correct answer and/or short numerical quizzes where the answer is a single number to be provided with a given tolerance. The students will earn 1 point for every correct answer for a total of 4 points. 2. Solution of two written exercises (similar to those solved during the weekly in the practices) where both the procedure and the results will be corrected. The students will earn 12 points for every completely correct exercise. The total score for every module is 16. The final score is the arithmetic sum of the partial scores of the two modules. Permissible and non-permissible aids During the exam it is possible to use * a scientific calculator * pen, pencil, drafting instruments * blank A4 sheets (max of 3 pages) for the written exercise to be scanned and uploaded as previously described) * The exam is a “closed book” examination: no book or formula sheet is admitted. * Everything that is not officially allowed, must be considered as a non-permissible aid. Cheating is a serious academic offense. Students discovered engaging in such behavior during the exam shall earn a failing grade and their case shall be reported to the Academic authorities for further disciplinary actions. Duration The duration of each module is 120 minutes (160 for students with special needs) Grading The exam is failed if any of the following is verified * partial score lower than 2 points for the quiz part of each module * partial score lower than 5 points for the exercise part of each module * total score lower than 16 of the two modules combined Oral Exam Candidates with a positive total score have access to the optional oral examination that consists of a 1 or 2 questions related to the course program of both modules. In this case, the final score is the mean value of the written and oral exam. To access the written and oral exam, it is necessary to independently apply through the official registration website. The oral exam is * mandatory for students with a non sufficient total score (16 or 17 points) * mandatory in case of doubts regarding the written exam. In these cases the Students will be informed a few days after the written test * upon request of the Students A few days after the written exam the grades will be notified and students will be requested to fill out a form with the following choices * I accept the grade of the written exam * I ask to give an oral exam * I withdraw my exam (in this case a fail grade will be registered) Lode (honors) If the final score is larger than 31 and (logic and) the student took the oral exam, the final score is 30L
Introduction to electrical engineering/Electrical machines (Introduction to electrical engineering)
The modules are integrated and coordinated, thus there is a common exam with the following assessment methods and criteria. Description The exam includes a written test and an optional oral test. The oral test can be requested according to the rules described below. The written exam will be given at the scheduled date and time, as communicated to students and will consist of two parts: Introduction to Electrical Engineering and Electrical Machines. Each part has a maximum score of 16 points. Each part has 1. a first part with 4 quizzes related to the theory lessons. These questions can be multiple-choice quizzes with four options and only one correct answer and/or short numerical quizzes where the answer is a single number to be provided with a given tolerance. The students will earn 1 point for every correct answer for a total of 4 points. 2. Solution of two written exercises (similar to those solved during the weekly in the practices) where both the procedure and the results will be corrected. The students will earn 12 points for every completely correct exercise. The total score for every module is 16. The final score is the arithmetic sum of the partial scores of the two modules. Permissible and non-permissible aids During the exam it is possible to use * a scientific calculator * pen, pencil, drafting instruments * blank A4 sheets (max of 3 pages) for the written exercise to be scanned and uploaded as previously described) * The exam is a “closed book” examination: no book or formula sheet is admitted. * Everything that is not officially allowed, must be considered as a non-permissible aid. Cheating is a serious academic offense. Students discovered engaging in such behavior during the exam shall earn a failing grade and their case shall be reported to the Academic authorities for further disciplinary actions. Duration The duration of each module is 120 minutes (160 for students with special needs) Grading The exam is failed if any of the following is verified * partial score lower than 2 points for the quiz part of each module * partial score lower than 5 points for the exercise part of each module * total score lower than 16 of the two modules combined Oral Exam Candidates with a positive total score have access to the optional oral examination that consists of a 1 or 2 questions related to the course program of both modules. In this case, the final score is the mean value of the written and oral exam. To access the written and oral exam, it is necessary to independently apply through the official registration website. The oral exam is * mandatory for students with a non sufficient total score (16 or 17 points) * mandatory in case of doubts regarding the written exam. In these cases the Students will be informed a few days after the written test * upon request of the Students A few days after the written exam the grades will be notified and students will be requested to fill out a form with the following choices * I accept the grade of the written exam * I ask to give an oral exam * I withdraw my exam (in this case a fail grade will be registered) Lode (honors) If the final score is larger than 31 and (logic and) the student took the oral exam, the final score is 30L NB: A collection of past exams with solution is available on the course website. The past quizzes are available on the corse website, "Exercise" section as self-learning tool. Additional information on this material will be provided during the first class