Bober / Stevens Numerical and Analytical Methods with MATLAB for Electrical Engineers

1. Auflage 2012
ISBN: 978-1-4665-7607-0
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 388 Seiten

Reihe: Computational Mechanics and Applied Analysis

Combining academic and practical approaches to this important topic, Numerical and Analytical Methods with MATLAB® for Electrical Engineers is the ideal resource for electrical and computer engineering students. Based on a previous edition that was geared toward mechanical engineering students, this book expands many of the concepts presented in that book and replaces the original projects with new ones intended specifically for electrical engineering students.
This book includes:

- An introduction to the MATLAB programming environment

- Mathematical techniques for matrix algebra, root finding, integration, and differential equations

- More advanced topics, including transform methods, signal processing, curve fitting, and optimization

- An introduction to the MATLAB graphical design environment, Simulink

Exploring the numerical methods that electrical engineers use for design analysis and testing, this book comprises standalone chapters outlining a course that also introduces students to computational methods and programming skills, using MATLAB as the programming environment. Helping engineering students to develop a feel for structural programming—not just button-pushing with a software program—the illustrative examples and extensive assignments in this resource enable them to develop the necessary skills and then apply them to practical electrical engineering problems and cases.

Zielgruppe

Undergraduate Electrical Engineering students in a course that includes Numerical Methods, Engineering Analysis, Numerical & Analytical Methods, Numerical Methods with MATLAB®. Professional engineers needing to know about the application of MATLAB® to basic EE problem-solving.

Autoren/Hrsg.

Bober, William

Stevens, Andrew

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Zahlensysteme
• Technische Wissenschaften Energietechnik | Elektrotechnik Elektrotechnik

Inhaltsverzeichnis

Numerical Methods for Electrical Engineers
Engineering Goals
Programming Numerical Solutions
Why MATLAB®?
The MATLAB® Programming Language
Conventions in This Book
Example Programs

MATLAB® Fundamentals
The MATLAB® Windows
Constructing a Program in MATLAB®
MATLAB® Fundamentals
MATLAB® Input/Output
MATLAB® Program Flow
MATLAB® Function Files
Anonymous Functions
MATLAB® Anonymous Functions
MATLAB® Graphics
Working with Matrices
Working with Functions of a Vector
Additional Examples Using Characters and Strings
Interpolation and MATLAB®’s interp1 Function
MATLAB®’s textscan Function
Exporting MATLAB® Data to Excel
Debugging a Program
The Parallel RLC Circuit

Matrices
Matrix Operations
System of Linear Equations
Gauss Elimination
The Gauss-Jordan Method
Number of Solutions
Inverse Matrix
The Eigenvalue Problem

Roots of Algebraic and Transcendental Equations
The Search Method
Bisection Method
Newton-Raphson Method
MATLAB®’s fzero and roots Functions

Numerical Integration
Numerical Integration and Simpson’s Rule
Improper Integrals
MATLAB®’s quad Function
The Electric Field
The quiver Plot
MATLAB®’s dblquad Function

Numerical Integration of Ordinary Differential Equations
The Initial Value Problem
The Euler Algorithm
Modified Euler Method with Predictor-Corrector Algorithm
Numerical Error for Euler Algorithms
The Fourth-Order Runge-Kutta Method
System of Two First-Order Differential Equations
A Single Second-Order Equation
MATLAB®’s ODE Function
Boundary Value Problems
Solution of a Tri-Diagonal System of Linear Equations
Method Summary for m equations
Difference Formulas
One-Dimensional Plate Capacitor Problem

Laplace Transforms
Laplace Transform and Inverse Transform
Transforms of Derivatives
Ordinary Differential Equations, Initial Value Problem
Convolution
Laplace Transforms Applied to Circuits
Impulse Response

Fourier Transforms and Signal Processing
Mathematical Description of Periodic Signals: Fourier Series
Complex Exponential Fourier Series and Fourier Transforms
Properties of Fourier Transforms
Filters
Discrete-Time Representation of Continuous-Time Signals
Fourier Transforms of Discrete-Time Signals
A Simple Discrete-Time Filter

Curve Fitting
Method of Least Squares
Curve Fitting with the Exponential Function
MATLAB®’s polyfit Function
Cubic Splines
The Function interp1 for Cubic Spline Curve Fitting
Curve Fitting with Fourier Series

Optimization
Unconstrained Optimization Problems
Method of Steepest Descent
MATLAB®’s fminunc Function
Optimization with Constraints
Lagrange Multipliers
MATLAB®’s fmincon Function

Simulink
Creating a Model in Simulink
Typical Building Blocks in Constructing a Model
Tips for Constructing and Running Models
Constructing a Subsystem
Using the Mux and Fcn Blocks
Using the Transfer Fcn Block
Using the Relay and Switch Blocks
Trigonometric Function Blocks

Appendix A: RLC Circuits
Appendix B: Special Characters in MATLAB® Plots
MATLAB® Function Index

Über Autor(innen)

Dr. William Bober received his B.S. degree in civil engineering from the City College of New York (CCNY), his M.S. degree in engineering science from Pratt Institute, and his Ph.D. degree in engineering science and aerospace engineering from Purdue University. At Purdue University, he was on a Ford Foundation Fellowship; he was assigned to teach one engineering course each semester. After receiving his Ph.D., he went to work as an associate engineering physicist in the Applied Mechanics Department at Cornell Aeronautical Laboratory in Buffalo, New York. After leaving Cornell Labs, he was employed as an associate professor in the Department of Mechanical Engineering at the Rochester Institute of Technology (RIT) for the following twelve years. After leaving RIT, he obtained employment at Florida Atlantic University (FAU) in the Department of Mechanical Engineering. More recently, he transferred to the Department of Civil Engineering at FAU.

Dr. Andrew Stevens, P.E., received his bachelor’s degree from Massachusetts Institute of Technology, his master’s degree from the University of Pennsylvania, and his doctorate from Columbia University, all in electrical engineering. He did his Ph.D. thesis work at IBM Research in the area of integrated circuit design for high-speed optical networks. While at Columbia, he lectured a course in the core undergraduate curriculum and won the IEEE Solid-State Circuits Fellowship. He has held R&D positions at AT&T Bell Laboratories in the development of T-carrier multiplexer systems and at Argonne National Laboratory in the design of radiation-hardened integrated circuits for colliding beam detectors. Since 2001, he has been president of Electrical Science, an engineering consulting firm specializing in electrical hardware and software.