Electrical Equipment and Machines: Finite Element Analysis

By Prof. Shrikrishna V. Kulkarni | IIT Bombay

Learners enrolled: 596 | Exam registration: 32

ABOUT THE COURSE :
The course consists of theory and applications of Finite Element Method (FEM). This numerical technique, applied for solving partial differential equations, is popularly used by researchers and practicing engineers for design, development and optimization of electrical equipment and machines. A course of FEM is being included in many universities in India at UG and PG level. This module will be helpful for students and working professionals to understand and apply FEM effectively for analysis of devices. Freeware based FEM simulations and coding procedures will be a part of this course. Students can develop their own codes for practical two- dimensional problems using freeware software.
There are two existing NPTEL courses on computational electromagnetics covering various numerical techniques especially for high-frequency electromagnetics. This course is exclusively for FE Analysis of low-frequency machines and equipment. Four unique features of this proposed course are:
1. Explanation of EM concepts relevant for low frequency electromagnetic computations
2. Use of field distributions and interactive Java based examples hosted in a virtual lab (https://www.ee.iitb.ac.in/course/~vel/)
3. Application of the Finite Element theory for different low frequency electromagnetic problems related to electrical machines and equipment
4. Solving the developed Finite Element formulations using freeware platforms like Scilab and Gmsh
Prof. S. V. Kulkarni has conducted many Continuing Education Programs for industry and academia on electromagnetic fields and numerical techniques
(https://www.ee.iitb.ac.in/~fclab/Invited_talks_and_Training_Programs/CEP%20Courses%20Conducted.pdf)
For more details of his educational outreach and other credentials, please visit: "https://www.ee.iitb.ac.in/wiki/faculty/svk"

INTENDED AUDIENCE : Electrical and Electronics Engineering Students, Electrical Industry Professionals

PREREQUISITES : Basics of Electromagnetic Fields and Electrical Machines

INDUSTRIES SUPPORT : Companies manufacturing electrical and electronic products consisting of magnetic and insulating components

Course TAs: Dr. Greeshma Mohan U

Summary

Course Status :	Ongoing
Course Type :	Elective
Duration :	8 weeks
Category :	Electrical, Electronics and Communications Engineering
Credit Points :	2
Level :	Undergraduate/Postgraduate
Start Date :	22 Jul 2024
End Date :	13 Sep 2024
Enrollment Ends :	05 Aug 2024
Exam Registration Ends :	16 Aug 2024
Exam Date :	21 Sep 2024 IST

Note: This exam date is subjected to change based on seat availability. You can check final exam date on your hall ticket.

Page Visits

Course layout

Week 1:Lecture 1: Course Outline and Introduction

Lecture 2: Analytical and Numerical Methods

Lecture 3: Revisiting EM Concepts: Vector Algebra & Coordinate Systems

Lecture 4: Revisiting EM Concepts: Vector Calculus and Electrostatics

Lecture 5: Revisiting EM Concepts: Current Densities and Electric Fields in Materials

Week 2:Lecture 6: Revisiting EM Concepts: Electrostatic Boundary Conditions and Shielding

Lecture 7: Revisiting EM Concepts: Magnetostatics

Lecture 8: Revisiting EM Concepts: Magnetic Forces and Materials

Lecture 9: Revisiting EM Concepts: Time Varying Fields

Lecture 10: Revisiting EM Concepts: Theory of Eddy Currents

Week 3:Lecture 11: FEM: Variational Approach

Lecture 12: Finding Functional for PDEs

Lecture 13: Whole Domain Approximation

Lecture 14: 1D FEM: Problem Definition and Shape Function

Lecture 15: 1D FEM: Procedure

Week 4:Lecture 16: 1D FEM: Scilab Code

Lecture 17: 2D FEM: Problem Definition and Shape Functions

Lecture 18: 2D FEM: Procedure

Lecture 19: 2D FEM Scilab Code: Manual Meshing

Lecture 20: 2D FEM Code: Gmsh and Scilab

Week 5:Lecture 21: Computation of B and H Field and Method of Weighted Residuals

Lecture 22: Galerkin Method

Lecture 23: Calculation of Leakage Inductance of a Transformer

Lecture 24: Calculation of Inductance of an Induction Motor and a Gapped-Core Shunt Reactor

Lecture 25: Insulation Design Using FE Analysis

Week 6:Lecture 26: Quadratic Finite Elements

Lecture 27: Time Harmonic FE Analysis

Lecture 28: Calculation of Eddy Current Losses

Lecture 29: Eddy Losses in Transformer Windings

Lecture 30: Torque Speed Characteristics of an Induction Motor and FE Analysis of Axisymmetric Problem

Week 7:Lecture 31: Permanent Magnets: Theory

Lecture 32: Permanent Magnets: FEM Implementation

Lecture 33: Periodic and Antiperiodic Boundary Conditions in Rotating Machines

Lecture 34: FE Analysis of Rotating Machines

Lecture 35: Voltage Fed Coupled Circuit Field Analysis

Week 8:Lecture 36: Current Fed Coupled Circuit Field Analysis

Lecture 37: Transient FE Analysis

Lecture 38: Nonlinear FE Analysis

Lecture 39: Computation of Forces using Maxwell Stress Tensor

Lecture 40: Computation of Forces using Virtual Work Method

Books and references

[1] S. V. Kulkarni and S. A. Khaparde, Transformer engineering: design, technology, and diagnostics, Second Edition, Boca Raton: CRC Press (Taylor & Francis Group), 2012

[2] S. J. Salon, Finite element analysis of electrical machines, Springer International Edition (1995), Indian Reprint (2007)

[3] J. P. A. Bastos and N. Sadowski, Electromagnetic modeling by finite element methods, CRC Press, 2003

[4] N. Bianchi, Electrical machine analysis using finite elements, CRC Press, 2005

[5] M. N. O. Sadiku, Numerical techniques in electromagnetics, CRC Press, 2000

[6] M.N.O. Sadiku and S.V. Kulkarni, Principles of electromagnetics, Sixth Edition, Oxford University Press, India, 2015 (Asian adaptation of 'M.N.O. Sadiku, Elements of electromagnetics, Sixth International Edition, Oxford University Press')

Instructor bio

Prof. Shrikrishna V. Kulkarni

IIT Bombay

Prof. S. V. Kulkarni is Institute Chair Professor in the Department of Electrical Engineering, Indian Institute of Technology Bombay. He was INAE (Indian National Academy of Engineering) Chair Professor in the Department for two years (April 2018 - March 2020). He is a Fellow of IEEE and INAE. He was Editor of IEEE Transactions on Power Delivery and IEEE Power Engineering Letters (2012-2019). He worked at Crompton Greaves Limited (1990-2001) and specialized in the design and development of transformers up to 400 kV class. He was a recipient of the Young Engineer Award conferred by INAE in 2000 for his contributions to Electromagnetic Field Computations and High Voltage Insulation Design in transformers. He was also honoured with the Career Award for Young Teachers from All India Council for Technical Education in 2001. He received Best Paper Awards in international conferences on transformers held in 2002 and 2006.

He has authored a book Transformer Engineering: Design, Technology, and Diagnostics, Second Edition, published by CRC Press in September 2012 and he received IIT Bombay Research Dissemination Award 2016 for the book. He has also written a chapter Challenges and Strategies in Transformer Design in the book Transformers: Analysis, Design, and Measurement published by CRC Press in June 2012. He has adapted an undergraduate text book on electromagnetics for Asia, Principles of Electromagnetics, Oxford University Press, published in October 2015.

His extensive interactions with transformer and power industries are reflected in his numerous consultancy projects for them. He has organized several training programs on transformers and computational electromagnetics for engineers from industries and academia in India. He has also set up the Field Computation Laboratory and the Insulation Diagnostics Laboratory in the Electrical Engineering Department at IIT Bombay.

He has more than 200 publications to his credit in reputed journals and conferences, and has four Indian and two US patents to his credit. His current areas of research include Analysis and Diagnostics of Transformers, Electromagnetic and Coupled Field Computations, Smart Grids and Energy Storage, and Insulation Diagnostics

Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
Date and Time of Exams: 21 September 2024 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
Registration url: Announcements will be made when the registration form is open for registrations.
The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

CRITERIA TO GET A CERTIFICATE

Average assignment score = 25% of average of best 6 assignments out of the total 8 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Bombay .It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team