Skip to main content
EXTENDED SEARCH
Log in
Top

2023 | Book

Read chapter Read first chapter

Mathematical Modeling of Physical Systems

Applications of Fields, Circuits and Signal Processing

Authors: Adhir Baran Chattopadhyay, Shazia Hasan, Snehaunshu Chowdhury

Publisher: Springer Nature Singapore

Book Series : Advances in Intelligent Systems and Computing

Part of: Springer Professional "Business + Economics & Engineering + Technology" , Springer Professional "Engineering + Technology"

Table of Contents
insite
SEARCH

About this book

The book presents mathematical modelling of physical systems by combined approach based on field theory, circuit theory and signal processing. The book is broadly divided into three parts: applications of field theory, applications of circuit theory and applications of signals processing. First part contains six chapters, second part has two chapters and third part contains two chapters. First part is further decoupled into three plus three chapters, based on the common “field nature” exhibited by electromagnetic quantities and fluid quantities.

Table of Contents

Frontmatter
Chapter 1. Applications of Field Theory: Analysis of a Single Sided Linear Induction Motor with Stator and Rotor of Infinite Length and Width
Abstract
Linear Induction motors (LIMs) have several practical applications.
Adhir Baran Chattopadhyay, Shazia Hasan, Snehaunshu Chowdhury
Chapter 2. Mathematical Modelling of Electromagnetic Forces Due to Finite Width Effects of a Single-Sided Linear Induction Motor
Abstract
In the preceding chapter, the analysis of a SLIM with a stator and a non-magnetic rotor, both of infinite length and infinite width, has been presented.
Adhir Baran Chattopadhyay, Shazia Hasan, Snehaunshu Chowdhury
Chapter 3. Mathematical Modeling of Electromagnetic Forces Due to Finite Length and Finite Width Effects of a Single-Sided Linear Induction Motor
Abstract
The analysis of a single-sided linear induction motor having a stator winding.
Adhir Baran Chattopadhyay, Shazia Hasan, Snehaunshu Chowdhury
Chapter 4. Fluid Flow Representation
Abstract
This chapter deals with the representation of fluid flows using stream function and velocity potential formulation. The potential function satisfies the Laplace equation for steady, incompressible flows. Several elementary potential flows are discussed along with superposition of some of the elementary flows.
Adhir Baran Chattopadhyay, Shazia Hasan, Snehaunshu Chowdhury
Chapter 5. Computational Fluid Dynamics
Abstract
In the previous chapter, it is mentioned that the analytical means of solving the Laplace equation is only limited to simple boundary conditions over fairly regular geometry. Computational fluid dynamics (CFD) is a numerical technique that has been developed primarily to solve physical flow situations with complex geometry and/or boundary conditions. It is a general technique that allows us to find the solution to governing equations for difficult flow domains.
Adhir Baran Chattopadhyay, Shazia Hasan, Snehaunshu Chowdhury
Chapter 6. Finite Element Formulation of Field Problems
Abstract
In this chapter, we will look into the numerical solution of the Laplace equation mainly by using the finite element discretization which was introduced in the last chapter.
Adhir Baran Chattopadhyay, Shazia Hasan, Snehaunshu Chowdhury
Chapter 7. Modelling Approach Using Generalized Theory of Electrical Machines
Abstract
It is well known that the magnetic flux cutting between the stator winding and the rotor winding (or, conductors) of a rotating electrical machine depends on the relative positions of those windings (either on the stator or rotor) and the flux-density established in the air-gap of any electrical machine basically acts as one of the variables to govern the “shaft torque” in “motor mode” or the “terminal voltage” in “generator mode”.
Adhir Baran Chattopadhyay, Shazia Hasan, Snehaunshu Chowdhury
Chapter 8. Digital Modeling Approach for Stability Analysis of Synchronous Motor Drive
Abstract
Digital modelling of a three-phase synchronous motor drive system calls for the development of primarily, a suitable modelling package in the continuous domain for a general application area.
Adhir Baran Chattopadhyay, Shazia Hasan, Snehaunshu Chowdhury
Chapter 9. Unscented and Complex Unscented Kalman Filtering for Parameter Estimation of a Single and Multiple Sinusoids in the Area of Power and Communication Signals
Abstract
The problem of estimating the sinusoidal parameters in white Gaussian noise is a fundamental well studied research topic.
Adhir Baran Chattopadhyay, Shazia Hasan, Snehaunshu Chowdhury
Chapter 10. Mathematical Modeling for Parameter Estimation of a Non Stationary Sinusoids in the Area of Power and Communication Signals
Abstract
In the case of power networks, simultaneous estimation of the power signal parameters like the amplitude, phase and frequency are required not only for the control and protection.
Adhir Baran Chattopadhyay, Shazia Hasan, Snehaunshu Chowdhury
Backmatter
Metadata
Title
Mathematical Modeling of Physical Systems
Authors
Adhir Baran Chattopadhyay
Shazia Hasan
Snehaunshu Chowdhury
Copyright Year
2023
Publisher
Springer Nature Singapore
Electronic ISBN
978-981-19-7558-5
Print ISBN
978-981-19-7557-8
DOI
https://doi.org/10.1007/978-981-19-7558-5