Linear and Nonlinear System Modeling

Linear and Nonlinear System Modeling

by Tamal Roy, Suman Lata Tripathi, Souvik Ganguli
Released October 2024
Publisher(s): Wiley-Scrivener
ISBN: 9781119847427

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Book description

Written and edited by a team of experts in the field, this exciting new volume presents the cutting-edge techniques, latest trends, and state-of-the-art practical applications in linear and nonlinear system modeling.

Mathematical modeling of control systems is, essentially, extracting the essence of practical problems into systematic mathematical language. In system modeling, mathematical expression deals with modeling and its applications. It is characterized that how a modeling competency can be categorized and its activity can contribute to building up these competencies. Mathematical modeling of a practical system is an attractive field of research and an advanced subject with a variety of applications. The main objective of mathematical modeling is to predict the behavior of the system under different operating conditions and to design and implement efficient control strategies to achieve the desired performance.

A considerable effort has been directed to the development of models, which must be understandable and easy to analyze. It is a very difficult task to develop mathematical modeling of complicated practical systems considering all its possible high-level non-linearity and cross couple dynamics. Although mathematical modeling of nonlinear systems sounds quite interesting, it is difficult to formulate the general solution to analyze and synthesize nonlinear dynamical systems. Most of the natural processes are nonlinear, having very high computational complexity of several numerical issues. It is impossible to create any general solution or individual procedure to develop exact modeling of a non-linear system, which is often improper and too complex for engineering practices. Therefore, some series of approximation procedures are used, in order to get some necessary knowledge about the nonlinear system dynamics. There are several complicated mathematical approaches for solving these types of problems, such as functional analysis, differential geometry or the theory of nonlinear differential equations.

Table of contents

  1. Cover
  2. Series Page
  3. Title Page
  4. Copyright
  5. Preface
  6. 1 Assessment of Faults in Hybrid System Connected with Main Grid
    1. Abstract
    2. 1.1 Introduction
    3. 1.2 Hybrid System Connected with Main Grid
    4. 1.3 FFT Results in Different Conditions, Respective Bar Diagram, and Observations
    5. 1.4 Inter-Harmonic Group Analysis, Results, and Observations
    6. 1.5 Statistical Parameter Analysis Based on Discrete Wavelet Transform, Results, and Observations
    7. 1.6 Algorithm to Determine Non-Identical Conditions
    8. 1.7 Specific Outcome of This Chapter
    9. 1.8 Conclusions
    10. References
    11. Notes
  7. 2 Diversified Harmonics Modeling for Power System Stability Analysis
    1. Abstract
    2. 2.1 Introduction
    3. 2.2 Classification
    4. 2.3 Power Equation
    5. 2.4 Maximum Power
    6. 2.5 Nonlinearity and Harmonics
    7. 2.6 Active Power, Load Angle, and Reactance
    8. 2.7 Effects of Harmonics on Stability Model
    9. 2.8 Harmonic Operating Point
    10. 2.9 Case Studies
    11. 2.10 Conclusions
    12. References
    13. Notes
  8. 3 Comparative Study of Different Existing Standard Microgrid Networks
    1. Abstract
    2. 3.1 Introduction
    3. 3.2 Classification of Microgrid Networks
    4. 3.3 Modes of Operation
    5. 3.4 General Equipment of a Microgrid Network
    6. 3.5 Basic Control Structure of Microgrid Network
    7. 3.6 Existing Standard Models
    8. 3.7 Considerations for Designing of Protection Schemes
    9. 3.8 Conclusion
    10. References
    11. Notes
  9. 4 Application of Active Power Filter in the Hybrid Power System to Regulate the Grid Voltage
    1. Abstract
    2. 4.1 Introduction
    3. 4.2 System Topology Description
    4. 4.3 Series Active Power Filter Design
    5. 4.4 Simulation Results
    6. 4.5 Conclusion
    7. References
    8. Notes
  10. 5 Dynamic Modeling of Drone Control with MATLAB Simulation
    1. Abstract
    2. 5.1 Introduction
    3. 5.2 Tool Description
    4. 5.3 Methodology
    5. 5.4 Overview of the Drone Control System
    6. 5.5 Overview of the Drone Control System in MATLAB Simulink
    7. 5.6 Applications
    8. 5.7 Conclusion
    9. References
    10. Notes
  11. 6 Development of New Bioinspired Hybrid Algorithms for Parameter Modeling of Photovoltaic Panels
    1. Abstract
    2. 6.1 Introduction
    3. 6.2 Problem Statement
    4. 6.3 Proposed Bioinspired Techniques and Methodology
    5. 6.4 Simulation Results and Discussions
    6. 6.5 Conclusions
    7. References
    8. Notes
  12. 7 Power Quality Improvement by Using PV-Integrated DSTATCOM
    1. Abstract
    2. 7.1 Introduction
    3. 7.2 Photovoltaic (PV)-Based DSTATCOM Model
    4. 7.3 Controller Design and Control Algorithm
    5. 7.4 Simulation Results
    6. 7.5 Experimental Results
    7. 7.6 Conclusion
    8. References
    9. Notes
  13. 8 Modeling and Simulation of Current Transformer to Study Its Behaviors in Different Conditions
    1. Abstract
    2. 8.1 Introduction
    3. 8.2 Simulation Circuit of Current Transformer
    4. 8.3 Effects of CT Performance Due to Variation of Circuit Time Constants
    5. 8.4 Effects of CT Performance Due to Switching Transients
    6. 8.5 DWT-Based Skewness Analysis for Assessment of CT Saturation Due to Switching Transients
    7. 8.6 CT Saturation Detection by Multi-Resolution Analysis-Based Notch Assessment [12]
    8. 8.7 CT Primary Current Assessment During CT Saturation [12]
    9. 8.8 Conclusion
    10. References
    11. Notes
  14. 9 Multilevel Inverter-Fed Closed Loop Control and Analysis of Induction Motor Drive
    1. Abstract
    2. 9.1 Introduction
    3. 9.2 Mathematical Modeling
    4. 9.3 Results
    5. 9.4 Conclusion
    6. References
    7. Notes
  15. 10 Hybrid Grey Wolf Optimizer for Modeling and Control of Electric Drives
    1. Abstract
    2. 10.1 Background Study
    3. 10.2 Proposed Approach
    4. 10.3 Simulation Outcomes and Discussions
    5. 10.4 Conclusions
    6. References
    7. Notes
  16. 11 Parameter Estimation of First-Order RC Model of Lithium-Ion Batteries in Electric Vehicles Using Slime Mould Algorithm
    1. Abstract
    2. 11.1 Introduction
    3. 11.2 Brief Overview of the Battery Models
    4. 11.3 Slime Mould Algorithm (SMA)
    5. 11.4 Methodology
    6. 11.5 Simulation Results and Discussions
    7. 11.6 Conclusions
    8. References
    9. Notes
  17. 12 Harmonic Distortion-Based Performance Analysis and Fault Diagnosis of Inverter Connected with BLDC Motor Using Starting Transients
    1. Abstract
    2. 12.1 Introduction
    3. 12.2 Modeling
    4. 12.3 THD Comparison of Phase Currents of Different Inverters
    5. 12.4 Variation of Harmonic Distortion of IGBT Inverter During Fault
    6. 12.5 Variation of Harmonic Distortion of MOSFET Inverter During Fault
    7. 12.6 Variation of Harmonic Distortion of Ideal Switch Inverter During Fault
    8. 12.7 Conclusion
    9. References
    10. Notes
  18. About the Editors
  19. Index
  20. Also of Interest
  21. End User License Agreement

Product information

  • Title: Linear and Nonlinear System Modeling
  • Author(s): Tamal Roy, Suman Lata Tripathi, Souvik Ganguli
  • Release date: October 2024
  • Publisher(s): Wiley-Scrivener
  • ISBN: 9781119847427