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Indian Institute of Technology Bombay

Electrical Equipment and Machines: Finite Element Analysis

Indian Institute of Technology Bombay and NPTEL via Swayam


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 foranalysis 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 (
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 conductedmany Continuing Education Programs for industry and academia on electromagnetic fields and numerical techniques
For more details of his educational outreach and other credentials, please visit: ""
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



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 MaterialsWeek 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 CurrentsWeek 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: ProcedureWeek 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 ScilabWeek 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 aGapped-Core Shunt Reactor Lecture 25: Insulation Design Using FE AnalysisWeek 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 ProblemWeek 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 AnalysisWeek 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

Taught by

Prof. Shrikrishna V. Kulkarni

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