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Submit a ProposalLinear and Nonlinear System Modeling
 | Edited by Tamal Roy, Suman Lata Tripathi, and Souvik Ganguli Copyright: 2024 | Status: Published ISBN: 9781119847427 | Hardcover | 232 pages Price: $225 USD  |
One Line 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.
Audience
Students, teachers, researchers, industry personnel, researchers, academicians, and other industry professionals, scientists, and engineers
Students, teachers, researchers, industry personnel, researchers, academicians, and other industry professionals, scientists, and engineers
Description
Mathematical modelling of control systems is, essentially, extracting the essence of practical problems into systematic mathematical language. In system modelling, mathematical expression deals with modelling and its applications. It is characterized that how a modelling competency can be categorized and its activity can contribute to building up these competencies. Mathematical modelling of a practical system is an attractive field of research and an advanced subject with a variety of applications. The main objective of mathematical modelling 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 modelling of complicated practical systems considering all its possible high-level non-linearity and cross couple dynamics. Although mathematical modelling 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.
This book covers these issues and offers real-world practical solutions for everyday problems encountered by engineers and scientists. Whether for the veteran engineer, scientist in the lab, student, or faculty, this groundbreaking new volume is a valuable resource for researchers and other industry professionals interested in the intersection of mathematical modeling and control systems.
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Mathematical modelling of control systems is, essentially, extracting the essence of practical problems into systematic mathematical language. In system modelling, mathematical expression deals with modelling and its applications. It is characterized that how a modelling competency can be categorized and its activity can contribute to building up these competencies. Mathematical modelling of a practical system is an attractive field of research and an advanced subject with a variety of applications. The main objective of mathematical modelling 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 modelling of complicated practical systems considering all its possible high-level non-linearity and cross couple dynamics. Although mathematical modelling 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.
This book covers these issues and offers real-world practical solutions for everyday problems encountered by engineers and scientists. Whether for the veteran engineer, scientist in the lab, student, or faculty, this groundbreaking new volume is a valuable resource for researchers and other industry professionals interested in the intersection of mathematical modeling and control systems.
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Author / Editor Details
Tamal Roy, PhD, received his PhD from Jadavpur University in 2016. In 2008, he joined the Department of Electrical Engineering at Hooghly Engineering and Technology College as a Lecturer with 15 years of academic experience. Since 2011, he has been working as an assistant professor in the Electrical Engineering Department of the MCKV Institute of Engineering and presently is Head of the Department. His current research interests include adaptive control, uncertainty modelling, and robust control of nonlinear systems.
Tamal Roy, PhD, received his PhD from Jadavpur University in 2016. In 2008, he joined the Department of Electrical Engineering at Hooghly Engineering and Technology College as a Lecturer with 15 years of academic experience. Since 2011, he has been working as an assistant professor in the Electrical Engineering Department of the MCKV Institute of Engineering and presently is Head of the Department. His current research interests include adaptive control, uncertainty modelling, and robust control of nonlinear systems.
Suman Lata Tripathi, PhD is a professor at the Lovely Professional University with more than 20 years of experience in academics. She is also a remote post-doctoral researcher at Nottingham Trent University, London, UK. She has published more than 74 research papers in refereed science journals and conferences, as well as 13 Indian patents and two copyrights. Additionally, she has edited and authored more than 17 books in different areas of electronics and electrical engineering.
Souvik Ganguli, PhD is associated with the Thapar Institute of Engineering and Technology, Patiala as an assistant professor since June 2009 with fourteen years of experience in academics. Before joining academics he served the industry for more than two years. He has published eight Science Citation Index journal papers and nearly 50 Scopus indexed papers, book chapters, and conferences. Recently, he has been granted an Australian Innovation patent for his contribution to the industrial cyber-physical system and eight of his patents are already published and awaiting grants.
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Table of Contents
Preface
1. Assessment of Faults in Hybrid System Connected with Main Grid
Aveek Chattopadhyaya, Niladri Mukherjee and Surajit Chattopadhyay
1.1 Introduction
1.2 Hybrid System Connected with Main Grid
1.3 FFT Results in different Conditions, Respective Bar Diagram, and Observations
1.4 Inter-Harmonic Group Analysis, Results, and Observations
1.5 Statistical Parameter Analysis Based on Discrete Wavelet Transform, Results, and Observations
1.6 Algorithm to Determine Non-Identical Conditions
1.7 Specific Outcome of This Chapter
1.8 Conclusions
References
2. Diversified Harmonics Modeling for Power System Stability Analysis
Tamal Roy, Debopoma Kar Ray and Surajit Chattopadhyay
2.1 Introduction
2.2 Classification
2.2.1 Steady-State Stability
2.2.2 Transient Stability
2.2.3 Dynamic Stability
2.3 Power Equation
2.4 Maximum Power
2.5 Nonlinearity and Harmonics
2.6 Active Power, Load Angle, and Reactance
2.7 Effects of Harmonics on Stability Model
2.7.1 Harmonic Reactance
2.7.2 Harmonic Power Equation and Harmonic Maximum Power
2.8 Harmonic Operating Point
2.8.1 Harmonic Power Versus Load Angle Characteristics
2.8.2 Harmonic Operating Point
2.8.3 Does HOP Hamper Overall Stability?
2.8.4 Importance of HOP
2.8.5 Steps for Determination of HOP
2.9 Case Studies
2.10 Conclusions
References
3. Comparative Study of Different Existing Standard Microgrid Networks
Sagnik Datta, Aveek Chattopadhyaya, Surajit Chattopadhyay and Arabinda Das
3.1 Introduction
3.2 Classification of Microgrid Networks
3.2.1 DC Microgrid Network
3.2.2 AC Microgrid Network
3.2.3 Hybrid AC/DC Microgrid Network
3.3 Modes of Operation
3.4 General Equipment of a Microgrid Network
3.5 Basic Control Structure of Microgrid Network
3.6 Existing Standard Models
3.6.1 IEEE 14 Bus Microgrid Network
3.6.2 IEEE 9 Bus Microgrid Network
3.6.3 IEC 61850-7-420 Standard Microgrid Network
3.7 Considerations for Designing of Protection Schemes
3.8 Conclusion
References
4. Application of Active Power Filter in the Hybrid Power System to Regulate the Grid Voltage
Sarita Samal, Rudranarayan Dash, Arjyadhara Pradhan and Prasanta Kumar Barik
4.1 Introduction
4.2 System Topology Description
4.2.1 Solar Photovoltaic System
4.2.1.1 SPV Modeling
4.2.1.2 Maximum Power Point Tracking
4.2.1.3 Boost Converter
4.2.2 Wind Energy System
4.2.3 Modeling of Battery
4.2.4 Buck-Boost Converter
4.3 Series Active Power Filter Design
4.4 Simulation Results
4.4.1 Analysis Under Case 1
4.4.2 Analysis Under Case 2
4.5 Conclusion
References
5. Dynamic Modeling of Drone Control with MATLAB Simulation
Suman Lata Tripathi
5.1 Introduction
5.2 Tool Description
5.3 Methodology
5.4 Overview of the Drone Control System
5.5 Overview of the Drone Control System in MATLAB Simulink
5.5.1 Flight Command
5.5.2 Flight Control System
5.5.3 Simulation Model
5.5.4 Flight Visualization
5.5.5 Result and Discussion
5.5.6 Varying the Values of Thrust Parameter of the Drone Flight Control
5.5.7 Varying the Values of Pitch Parameter of the Drone Flight Control
5.5.8 Varying the Values of Roll Parameter of the Drone Flight Control
5.5.9 Varying the Values of Yaw Parameter of the Drone Flight Control
5.5.10 Varying the Values of Thrust, Pitch, Roll, and Yaw Parameter of the Drone Flight Control
5.6 Applications
5.7 Conclusion
References
6. Development of New Bioinspired Hybrid Algorithms for Parameter Modeling of Photovoltaic Panels
Souvik Ganguli, Shilpy Goyal and Parag Nijhawan
6.1 Introduction
6.2 Problem Statement
6.3 Proposed Bioinspired Techniques and Methodology
6.4 Simulation Results and Discussions
6.5 Conclusions
References
7. Power Quality Improvement by Using PV-Integrated DSTATCOM
Pushpanjali Shadangi, Sushree Diptimayee Swain and Pravat Kumar Ray
7.1 Introduction
7.2 Photovoltaic (PV)-Based DSTATCOM Model
7.3 Controller Design and Control Algorithm
7.3.1 Instantaneous Reactive Power Theory (IRPT)
7.3.2 Modified Instantaneous Reactive Power Theory (MIRPT)
7.3.3 Hybrid Synchronous Reference Frame Theory (HSRF)
7.3.4 Indirect Current Control (ICC)
7.3.5 Direct Current Control (DCC)
7.4 Simulation Results
7.5 Experimental Results
7.6 Conclusion
References
8. Modeling and Simulation of Current Transformer to Study Its Behaviors in Different Conditions
Aveek Chattopadhyaya and Surajit Chattopadhyay
8.1 Introduction
8.2 Simulation Circuit of Current Transformer
8.3 Effects of CT Performance Due to Variation of Circuit Time Constants
8.4 Effects of CT Performance Due to Switching Transients
8.5 DWT-Based Skewness Analysis for Assessment of CT Saturation due to Switching Transients
8.6 CT Saturation Detection by Multi-Resolution Analysis-Based Notch Assessment
8.7 CT Primary Current Assessment During CT Saturation
8.8 Conclusion
References
9. Multilevel Inverter-Fed Closed Loop Control and Analysis of Induction Motor Drive
Subrat Behera, Ranjeeta Patel, Rudra Narayan Dash and Amit Kumar
9.1 Introduction
9.2 Mathematical Modeling
9.2.1 Field Weakening Controller
9.2.2 Vector Controller
9.3 Results
9.3.1 Starting Dynamics
9.3.2 Reversal Dynamics
9.3.3 Load Perturbation Analysis
9.3.4 THD Analysis
9.4 Conclusion
References
10. Hybrid Grey Wolf Optimizer for Modeling and Control of Electric Drives
Souvik Ganguli and Prasanta Sarkar
10.1 Background Study
10.2 Proposed Approach
10.3 Simulation Outcomes and Discussions
10.4 Conclusions
References
11. Parameter Estimation of First-Order RC Model of Lithium-Ion Batteries in Electric Vehicles Using Slime Mold Algorithm
Ramdutt Arya, Shatrughan Modi and Souvik Ganguli
11.1 Introduction
11.2 Brief Overview of the Battery Models
11.2.1 Equivalent Circuit Model (ECM) of Li-Ion Battery
11.2.2 First-Order RC Equivalent Circuit Model
11.2.3 Fitness Function for Optimization
11.3 Slime Mold Algorithm (SMA)
11.4 Methodology
11.5 Simulation Results and Discussions
11.6 Conclusions
References
12. Harmonic Distortion-Based Performance Analysis and Fault Diagnosis of Inverter Connected with BLDC Motor Using Starting Transients
Surajit Chattopadhyay, Chiranjit Sain, Purnendu Burui, Sk Rased Ali and Soumya Saha
12.1 Introduction
12.2 Modeling
12.3 THD Comparison of Phase Currents of Different Inverters
12.4 Variation of Harmonic Distortion of IGBT Inverter During Fault
12.5 Variation of Harmonic Distortion of MOSFET Inverter During Fault
12.6 Variation of Harmonic Distortion of Ideal Switch Inverter During Fault
12.7 Conclusion
References
About the Editors
Index
Back to Top
Preface
1. Assessment of Faults in Hybrid System Connected with Main Grid
Aveek Chattopadhyaya, Niladri Mukherjee and Surajit Chattopadhyay
1.1 Introduction
1.2 Hybrid System Connected with Main Grid
1.3 FFT Results in different Conditions, Respective Bar Diagram, and Observations
1.4 Inter-Harmonic Group Analysis, Results, and Observations
1.5 Statistical Parameter Analysis Based on Discrete Wavelet Transform, Results, and Observations
1.6 Algorithm to Determine Non-Identical Conditions
1.7 Specific Outcome of This Chapter
1.8 Conclusions
References
2. Diversified Harmonics Modeling for Power System Stability Analysis
Tamal Roy, Debopoma Kar Ray and Surajit Chattopadhyay
2.1 Introduction
2.2 Classification
2.2.1 Steady-State Stability
2.2.2 Transient Stability
2.2.3 Dynamic Stability
2.3 Power Equation
2.4 Maximum Power
2.5 Nonlinearity and Harmonics
2.6 Active Power, Load Angle, and Reactance
2.7 Effects of Harmonics on Stability Model
2.7.1 Harmonic Reactance
2.7.2 Harmonic Power Equation and Harmonic Maximum Power
2.8 Harmonic Operating Point
2.8.1 Harmonic Power Versus Load Angle Characteristics
2.8.2 Harmonic Operating Point
2.8.3 Does HOP Hamper Overall Stability?
2.8.4 Importance of HOP
2.8.5 Steps for Determination of HOP
2.9 Case Studies
2.10 Conclusions
References
3. Comparative Study of Different Existing Standard Microgrid Networks
Sagnik Datta, Aveek Chattopadhyaya, Surajit Chattopadhyay and Arabinda Das
3.1 Introduction
3.2 Classification of Microgrid Networks
3.2.1 DC Microgrid Network
3.2.2 AC Microgrid Network
3.2.3 Hybrid AC/DC Microgrid Network
3.3 Modes of Operation
3.4 General Equipment of a Microgrid Network
3.5 Basic Control Structure of Microgrid Network
3.6 Existing Standard Models
3.6.1 IEEE 14 Bus Microgrid Network
3.6.2 IEEE 9 Bus Microgrid Network
3.6.3 IEC 61850-7-420 Standard Microgrid Network
3.7 Considerations for Designing of Protection Schemes
3.8 Conclusion
References
4. Application of Active Power Filter in the Hybrid Power System to Regulate the Grid Voltage
Sarita Samal, Rudranarayan Dash, Arjyadhara Pradhan and Prasanta Kumar Barik
4.1 Introduction
4.2 System Topology Description
4.2.1 Solar Photovoltaic System
4.2.1.1 SPV Modeling
4.2.1.2 Maximum Power Point Tracking
4.2.1.3 Boost Converter
4.2.2 Wind Energy System
4.2.3 Modeling of Battery
4.2.4 Buck-Boost Converter
4.3 Series Active Power Filter Design
4.4 Simulation Results
4.4.1 Analysis Under Case 1
4.4.2 Analysis Under Case 2
4.5 Conclusion
References
5. Dynamic Modeling of Drone Control with MATLAB Simulation
Suman Lata Tripathi
5.1 Introduction
5.2 Tool Description
5.3 Methodology
5.4 Overview of the Drone Control System
5.5 Overview of the Drone Control System in MATLAB Simulink
5.5.1 Flight Command
5.5.2 Flight Control System
5.5.3 Simulation Model
5.5.4 Flight Visualization
5.5.5 Result and Discussion
5.5.6 Varying the Values of Thrust Parameter of the Drone Flight Control
5.5.7 Varying the Values of Pitch Parameter of the Drone Flight Control
5.5.8 Varying the Values of Roll Parameter of the Drone Flight Control
5.5.9 Varying the Values of Yaw Parameter of the Drone Flight Control
5.5.10 Varying the Values of Thrust, Pitch, Roll, and Yaw Parameter of the Drone Flight Control
5.6 Applications
5.7 Conclusion
References
6. Development of New Bioinspired Hybrid Algorithms for Parameter Modeling of Photovoltaic Panels
Souvik Ganguli, Shilpy Goyal and Parag Nijhawan
6.1 Introduction
6.2 Problem Statement
6.3 Proposed Bioinspired Techniques and Methodology
6.4 Simulation Results and Discussions
6.5 Conclusions
References
7. Power Quality Improvement by Using PV-Integrated DSTATCOM
Pushpanjali Shadangi, Sushree Diptimayee Swain and Pravat Kumar Ray
7.1 Introduction
7.2 Photovoltaic (PV)-Based DSTATCOM Model
7.3 Controller Design and Control Algorithm
7.3.1 Instantaneous Reactive Power Theory (IRPT)
7.3.2 Modified Instantaneous Reactive Power Theory (MIRPT)
7.3.3 Hybrid Synchronous Reference Frame Theory (HSRF)
7.3.4 Indirect Current Control (ICC)
7.3.5 Direct Current Control (DCC)
7.4 Simulation Results
7.5 Experimental Results
7.6 Conclusion
References
8. Modeling and Simulation of Current Transformer to Study Its Behaviors in Different Conditions
Aveek Chattopadhyaya and Surajit Chattopadhyay
8.1 Introduction
8.2 Simulation Circuit of Current Transformer
8.3 Effects of CT Performance Due to Variation of Circuit Time Constants
8.4 Effects of CT Performance Due to Switching Transients
8.5 DWT-Based Skewness Analysis for Assessment of CT Saturation due to Switching Transients
8.6 CT Saturation Detection by Multi-Resolution Analysis-Based Notch Assessment
8.7 CT Primary Current Assessment During CT Saturation
8.8 Conclusion
References
9. Multilevel Inverter-Fed Closed Loop Control and Analysis of Induction Motor Drive
Subrat Behera, Ranjeeta Patel, Rudra Narayan Dash and Amit Kumar
9.1 Introduction
9.2 Mathematical Modeling
9.2.1 Field Weakening Controller
9.2.2 Vector Controller
9.3 Results
9.3.1 Starting Dynamics
9.3.2 Reversal Dynamics
9.3.3 Load Perturbation Analysis
9.3.4 THD Analysis
9.4 Conclusion
References
10. Hybrid Grey Wolf Optimizer for Modeling and Control of Electric Drives
Souvik Ganguli and Prasanta Sarkar
10.1 Background Study
10.2 Proposed Approach
10.3 Simulation Outcomes and Discussions
10.4 Conclusions
References
11. Parameter Estimation of First-Order RC Model of Lithium-Ion Batteries in Electric Vehicles Using Slime Mold Algorithm
Ramdutt Arya, Shatrughan Modi and Souvik Ganguli
11.1 Introduction
11.2 Brief Overview of the Battery Models
11.2.1 Equivalent Circuit Model (ECM) of Li-Ion Battery
11.2.2 First-Order RC Equivalent Circuit Model
11.2.3 Fitness Function for Optimization
11.3 Slime Mold Algorithm (SMA)
11.4 Methodology
11.5 Simulation Results and Discussions
11.6 Conclusions
References
12. Harmonic Distortion-Based Performance Analysis and Fault Diagnosis of Inverter Connected with BLDC Motor Using Starting Transients
Surajit Chattopadhyay, Chiranjit Sain, Purnendu Burui, Sk Rased Ali and Soumya Saha
12.1 Introduction
12.2 Modeling
12.3 THD Comparison of Phase Currents of Different Inverters
12.4 Variation of Harmonic Distortion of IGBT Inverter During Fault
12.5 Variation of Harmonic Distortion of MOSFET Inverter During Fault
12.6 Variation of Harmonic Distortion of Ideal Switch Inverter During Fault
12.7 Conclusion
References
About the Editors
Index
Back to Top