Numerical Methods for Electrical Engineering

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NUMERICAL METHODS FOR BE03000191
FREE PDF BE03000191
Code: BE03000191 Credits: 4 Semester 3 Electrical Engineering

Numerical Methods for Electrical Engineering

Get the full GTU study material, English & Gujarati textbook PDFs, syllabus curriculum, and solved previous year question papers.

Numerical Methods for Electrical Engineering Syllabus — Unit-wise Content

The official GTU curriculum for Numerical Methods for Electrical Engineering (subject code BE03000191) as prescribed for Electrical Engineering · Semester 3 divides the course into 6 units, covering 45 listed topics. The unit-wise breakdown below is read from the GTU syllabus document for this subject code, so you can check what the course actually covers before deciding which papers to attempt.

Download the official syllabus PDF (BE03000191)

Unit 1 Approximations and Round-off errors

2 lecture hours

  • Significant figures
  • accuracy and precision
  • error definitions
  • Round-off errors
  • Truncation errors

Unit 2 Numerical Solution of Linear Equations

8 lecture hours

  • Direct Methods: The Gauss Elimination Method
  • The Gauss–Jordan Elimination Method
  • The LU Matrix Decomposition Method
  • The Method of Inverse Matrix
  • Indirect or Iterative Methods: The Direct Iteration Method
  • Jacobi and Gauss–Seidel Methods
  • Examples of Applications in Electrical Engineering: 1
  • Steady state solution of AC ladder circuit using mesh currents 2
  • Steady state solution of AC circuit with double T using nodal analysis

Unit 3 Roots of Non-linear Algebraic and Transcendental Equations

10 lecture hours

  • false position
  • Secant method
  • Gauss-Seidel method
  • Newton- Raphson methods
  • Fixed Point Iteration
  • Rate of convergence
  • Applications to electrical engineering problems

Unit 4 Numerical Integration of ODE

10 lecture hours

  • The Initial Value Problem and Related Solution Method
  • The One-Step Methods: The Euler Method and its Modified Version
  • The Heun Method
  • Trapezoidal rule
  • The Runge–Kutta Method (RK 4)
  • Examples of Using the RK 4 Method for Integration of Differential Equations Formulated for Some Electrical Rectifier Devices: 1
  • The Unsymmetrical Voltage Doubler 2
  • The Full-Wave Rectifier Integrated with the Three-Element Low-Pass Filter * Problem Based Learning (PBL) aims to accommodate learning beyond syllabus as per clause 9.4 of NBA manual
  • Program Name: Bachelor of Engineering Level: UG Subject Code: BE03000191 Subject Name: Numerical Methods for Electrical Engineering

Unit 5 FEM

6 lecture hours

  • FEM procedure : Finite Element Discretization
  • Element Governing Equations
  • Assembling all the Elements
  • Solving the Resulting Equations
  • Examples based on Magnetostatic Fields

Unit 6 Optimization

6 lecture hours

  • Introduction to Optimization
  • Mathematical formulation
  • Continuous versus Discrete optimization
  • Constrained and unconstrained optimization
  • Global and local optimization
  • Stochastic and deterministic optimization
  • Optimality Criteria
  • Exhaustive Search Method
  • Interval halving method
  • Fibonacci search method

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