Syllabus Numerical Methods for Electrical Engineering - (BE03000191) Total Credits = TH / 30 Assessment Pattern and Marks Total Marks Theory Tutorial / Practical ESE (E) PA (M) PA / (I) PBL (I) ESE (V) 04 70 30 20 30 50 200 Sr. No. Content 1. Approximations and Round-off errors : Significant figures, accuracy and precision, error definitions, Round-off errors, Truncation errors. (Chapter - 1) 2. Numerical Solution of Linear Equations : 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. (Chapter - 2) 3. Roots of Non-linear Algebraic and Transcendental Equations : Bisection, false position, Secant method, Gauss-Seidel method, Newton - Raphson methods, Fixed Point Iteration, Rate of convergence, Applications to electrical engineering problems. (Chapter - 3) 4. Numerical Integration of ODE : 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. (Chapter - 4) 5. FEM : Introduction, FEM procedure : Finite Element Discretization, Element Governing Equations, Assembling all the Elements, Solving the Resulting Equations, Examples based on Magnetostatic Fields. (Chapter - 5) 6. Optimization : Introduction to Optimization, Mathematical formulation, Continuous versus Discrete optimization, Constrained and unconstrained optimization, Global and local optimization, Stochastic and deterministic optimization, Convexity, Optimality Criteria, Exhaustive Search Method, Interval halving method, Fibonacci search method. (Chapter - 6)
