DYNAMICS OF ELECTRICAL MACHINES

Academic Year 2024/2025 - Teacher: LUIGI DANILO TORNELLO

Expected Learning Outcomes

The course aims to provide advanced knowledge on electric machines, in line with modern application requirements and essential for control purposes. The study of electric machines will begin by recalling the operating principles of AC rotating machines and their steady-state equivalent circuits. It will then proceed with the study of transient models derived according to the generalized theory of electric machines (or arbitrary reference frames). By the end of the course, students will have acquired the knowledge necessary to use electric machines in both static and dynamic conditions in all industrial and civil applications, such as electric traction, energy production, and conversion, including from renewable sources, with a particular focus on energy efficiency.


Knowledge and Understanding

Students will acquire knowledge of the operating principles of electric machines, their construction characteristics, and static and dynamic models. The applications considered will be related to power generation and distribution, civil and industrial installations, and electric traction.

Applying Knowledge and Understanding

At the end of the course, students will have the skills necessary to analyze an electric machine, identify its components and functionalities. They will also develop the ability to characterize systems and processes, use electric machines, evaluate their performance, and calculate electrical quantities in static, dynamic, and fault conditions.

Autonomy of Judgment

Students will develop independent judgment for the accurate analysis of electric machines. These skills will also be refined through experimental tests carried out in the laboratory and through numerical simulations.

Communication Skills

Students will enhance their technical language related to electric machines, aiming to present themselves adequately in the job market with appropriate competencies and a solid technical profile. Group work skills will be refined through experimental activities in the laboratory conducted in small teams. Writing lab reports and the oral exam will further refine students’ technical language and communication skills.

Learning Skills

Students will be able to independently expand their knowledge of electric machines through further study of reference texts, scientific journal articles, and insights gained from seminar activities organized by the course and the degree program.

Course Structure

Frontal lectures on theory topics carried out by a video projector. Exercises performed in the classroom by video projector using numerical simulation software. Collective activity of numerical exercises. Test laboratory for electrical machines.

If the course is delivered in a hybrid or distance learning format, necessary adjustments may be made to what was previously stated in order to ensure alignment with the planned program outlined in the syllabus.

Required Prerequisites

Knowledge of Physics II (Electromagnetism) and Circuit Theory is required. Additionally, a basic understanding of Electric Machines in steady-state operation is mandatory.

Attendance of Lessons

The frequency of the lessons is mandatory. Please note that the minimum rate of frequency is fixed at 70%.

Detailed Course Content

Topic 1: Magnetic Circuits and Magnetic Materials

  • Flux Linkage, Inductance and Energy
  • Electromechanical- Energy-Conversion Principles
  • Heating

Topic 2: Introduction to Rotating Machines

  • Principles of operation and steady-state equivalent circuits of a dc machine
  • Speed-Torque characteristics of a separately excited dc machine
  • Space-phasor theory: the dq0 transformation
  • Rotating magnetic field

Topic 3: Synchronous Machines

  • Principles of operation and steady-state equivalent circuits of a synchronous machine
  • Theory and models of synchronous machine with and without saturation: Behn-Eshemburg, Potier, qd axes, Arnold-Blondel
  • Capability curves of a synchronous machine
  • Model of synchronous machines in qd0 reference frame
  • Torque equations
  • Permanent magnet machines

Topic 4: Induction Machines

  • Principles of operation and steady-state equivalent circuits of an induction machine
  • Speed-Torque characteristics of an induction machine
  • Model of induction machines in qd0 reference frame
  • Torque equations

Topic 5: DC Machines

Textbook Information

  1. Electric Machinery by A. E. Fitzgerald, C. Kingsley, Jr., S. D. Umans. , 7th Edition, McGraw-Hill, 2013
  2. Electric Machinery Fundamentals by Stephen J. Chapman, 4th Edition, McGraw-Hill, 2005
  3. Macchine Elettriche by E. Chiricozzi, A. Ometto, Aracne, 2017
  4. Analysis of electric machinery by P.C. Krause, Mc Graw Hill, 1986
  5. Electrical Machines voll. l e 2 by M. Kostenko, L. Piotrovski, MIR Mosca libreria Italia-URSS
  6. Macchine Elettriche by A. Consoli, Notes
  7. Slides presented at the lessons

Course Planning

 SubjectsText References
1Magnetic properties of materials and losses in ferromagnetic materials
2Rotating magnetic field
3Operating principle of the induction machine
4Operating principle of the synchronous machine
5Generalized theory of electrical machines
6Analytical expression of torque and mechanical characteristcs of the induction machine
7Analytical expression of torque and mechanical characteristcs of the synchronous machine
8Armature reaction
9Design characteristics and operating principles of DC machines

Learning Assessment

Learning Assessment Procedures

The exam consists of an oral test. The oral test typically includes three main questions, followed by an in-depth discussion of the topic. The final evaluation will take into account the knowledge acquired, skills demonstrated, clarity of presentation, and use of technical language. The average duration of the oral test is 90 minutes.

Examples of frequently asked questions and / or exercises

Operating principles of electrical machines

Tests on electrical machines

qd0 equivalent circuit of the induction and synchronous machines

steady-state electromagnetic torque calculation and expression of the electromagnetic torque in any condition

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