1st Edition

Applied Mathematical Modeling and Analysis in Renewable Energy

Edited By Manoj Sahni, Ritu Sahni Copyright 2022
    212 Pages 103 B/W Illustrations
    by CRC Press

    This reference text introduces latest mathematical modeling techniques and analysis for renewable energy systems.

    It comprehensively covers important topics including study of combustion characteristics of laser ignited gasoline-air mixture, hierarchical demand response controller, mathematical modeling of an EOQ for a multi-item inventory system, and integration and modeling of small-scale pumped storage with micro optimization model (HOMER).

    Aimed at graduate students and academic researchers in the fields of electrical engineering, environmental engineering, mechanical engineering, and civil engineering, this text:

    • Discusses applied mathematical modeling techniques in renewable energy.
    • Covers effective storage and generation of power through renewable energy generation sources.
    • Provides real life applications and problems based on renewable energy.
    • Covers new ways of applying mathematical techniques for applications in diverse areas of science and engineering.

    Mathematical Modelling and Simulation Results

    1

    Mathematical Modeling of Transitional Fluid Phase Flows in Coal bed Methane Reservoir

    Abstract, Introduction, Permeability model, Single Phase water flow, Multiphase gas and water flow, Numerical model, Verification and validation, Single phase gas flow, Conclusion

    *Subhashini Nainar

    (IIT-Madras, [email protected] /[email protected])

    Suresh Kumar Govindarajan (IIT-Madras, [email protected])

    2

    AI based detection and localization of gastrointestinal polyps by using deep learning, transfer learning and the fusion of these techniques

    Abstract, Introduction: Background and Driving Forces, Deep Neural Network (DNN), Transfer Learning, Polyps and Computer Aided Diagnosis (CAD),

    Dataset and Experimental Setup, Results and discussion, Conclusion and Future Work

     

    * Yogesh Chaudhari (Computer Science and Engineering, Navrachana University, Vadodara, India, [email protected])

    U. M. Pirzada (School of Engineering and Technology, Navrachana University, Vadodara, India, [email protected])

    Darshee Baxi (School of Science, Navrachana University, Vadodara, India. [email protected])

    3

    Mathematical Modeling of an EOQ for a Multi-item Inventory System with Selling Price and Price Break Sensitive Demand

    Abstract, Introduction, Literature Review, Fundamental assumptions and notations, Model Formulation, Solution Methodology, Numerical Investigation and Discussion, Conclusion.

    *Abhijit Barman (Department of Mathematics, National Institute of Technology Silchar, [email protected])

    Pijus Kanti De (Department of Mathematics, National Institute of Technology Silchar, [email protected])

    4

    Fair Allocation of Items: A Comprehensive Study

    Abstract, Introduction, Fair allocation of Divisible Goods, Fair division of Indivisible Goods, Conclusion

    * Manisha Bansal (Indraprastha College for Women, University of Delhi, [email protected])

    Purnima Bindal (P.G.D.A.V. College, University of Delhi, [email protected])

    5

    Hierarchical Demand Response Controller

    Abstract, Introduction, Literature Review, Methodology, Preliminary Results, Conclusion

    *Dima Kayyali (McGill Univ, [email protected])

    Hussam Nosair (New York Independent System Operator, [email protected])

    Amit V. Sant (Pandit Deendayal Petroleum Univ, [email protected])

    Hannah Michalska (McGill Univ, [email protected])

    Generalized Mathematical Ideas and their Applications

    6

    A General Class of Polynomials inspired by a general Lagrange's inversion pair due to Gessel and Stanton

    Abstract, Introduction, Inverse Series Relations, Integral representations, Differential Equation -form and Companion matrix, Particular Cases, Conclusion.

    7

    Squeezing Graph

    Abstract, Introduction, Definition of Squeezing graph, squeezing few functions with independent squeezing, radially squeezing, Application, Results, Conclusion.

    Ved Suthar (Indus University, [email protected] )

    8

    Finding the Surface Area and Volume of the Hyperspheres Using Simple Calculus

    Abstract, Introduction, Emergence of String Theory, Idea behind string theory, Multidimensions or Hyper dimensions – the need, Our own notion and some misconceptions about volume and surface area, Volume of Hypersphere, Surface Area of Hypersphere, Verification for Surface Area and Volume of Hyperspheres with results for various dimensions, Conclusion.

    * Shantanu (IISER Pune, Maharashtra, India, [email protected])

    Ritu Sahni (IAR, Gandhinagar, [email protected])

    Manoj Sahni (PDEU, Gandhinagar, [email protected])

    Mathematical Modelling in Renewable Energy

    9

    Analysis of RSM method for optimization of Ultrasound-assisted KOH catalyzed biodiesel production from waste cotton-seed cooking oil

    Abstract, Introduction, Material and Methodology, Results and Discussions, Conclusion.

    Suvik Oza (Chemical Engineering Department, Center for Biofuel and Bioenergy Studies Pandit Deendayal Petroleum University, Gandhinagar, Gujarat, India 382007, [email protected]), *Pravin Kodgire (Chemical Engineering Department, Center for Biofuel and Bioenergy Studies, Pandit Deendayal Petroleum University, Gandhinagar, Gujarat, India 382007, [email protected]), Surendra Singh Kachhwaha (Mechanical Engineering Department, Center for Biofuel and Bioenergy Studies, Pandit Deendayal Petroleum University, Gandhinagar, Gujarat, India 382007, [email protected])

     

    10

    Energy Data Analysis of an Educational Institution in India

    Abstract, Introduction, Literature review, developing energy consumption baseline, Analysis of energy bill, Savings from balancing the system, Savings from Air Conditioning, Conclusion

    *Chandana Sasidharan (Teri School of Advanced Studies, [email protected])

    Aman Aggarwal (Teri School of Advanced Studies, [email protected])

    11

    Factors to consider: A review of smart grid implementation in India

    Abstract, Introduction, Power grid of India, Development of smart grid in India, Discussion, Conclusion.

    *Atmiya Patel (Dr. Jivraj Mehta Institute of Technology, Anand 388340, India. ORCID: 0000-0002-8249-0765, Contact no. +91-9106935854, [email protected])

    Vipul N. Rajput (Dr. Jivraj Mehta Institute of Technology, Anand 388340, India. ORCID: 0000-0001-6016-534X, [email protected])

    Kartik S. Pandya (Charotar University of Science and Technology, Changa, Anand-388421, India. ORCID: 0000-0002-0155-000X, [email protected])

    Dipayan Guha (Motilal Nehru National Institute of Technology Allahabad, Prayagraj- 211004, India. ORCID: 0000-0002-2603-6955, [email protected])

    12

    Integration and Modeling of Small-Scale Pumped Storage with Micro Optimization Model (HOMER)

    Abstract, Introduction, Modeling Pumped Storage as Battery, Solar-Hydro Hybrid System, Simulation Results, Conclusion.

    *Jyoti Gupta (Department of Mechanical Engineering, Indian Institute of Technology Kanpur, 208016, India, [email protected])

    Arun Kumar (Department of Hydro and Renewable Energy, Indian Institute of Technology Roorkee, 247667, India, [email protected])

    Biography

    Manoj Sahni is working as an Associate Professor and Head, Department of Mathematics in Pandit Deendayal Energy University, Gandhinagar since last seven years and having total academic and research experience of more than 17 years. During the last 17 years; he has worked with Jaypee Institute of Information Technology, Noida, Navrachna University, Vadodara and PDEU Gandhinagar. During this period, he has published more than sixty research papers in various International Journals and Conference proceedings. He is the Life Member of various societies such as Indian Science Congress, Indian Mathematical Society, Allahabad Mathematical Society, etc. He has successfully coordinated various events of following types: International Conference, Expert Lectures, Seminars and Workshops, etc. He is the reviewer of various reputed International Journals. His research area includes Continuum Mechanics, Functionally graded materials, Fuzzy Sets and Numerical methods.

    Ritu Sahni is an Assistant Professor in the Department of Physical Sciences, Institute of Advanced Research, Gandhinagar from the last 6 years. Previously she worked at Jaypee Institute of Information Technology, Noida and Navrachna University, Vadodara. Her total experience of teaching and research is approximately 12 years. She has published more than 35 research papers in various International Journals and Conference Proceedings. She is a Life Member of various prestigious societies such as Indian Science Congress, Indian Mathematical Society, etc. Currently she is working in the area of fixed-point theory and fuzzy modelling.