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  • © 2016

Modular Load Flow for Restructured Power Systems

  • Presents the theory of modular flow in solving normal and ill-conditioned systems
  • Entails an elegant theory based on orthogonality, Hilbert spaces and Dirac structures
  • Introduces new concepts with simple numerical problems
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Electrical Engineering (LNEE, volume 374)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xx
  2. Introduction

    • M. V. Hariharan, S. D. Varwandkar, Pragati P. Gupta
    Pages 1-12
  3. Circuit Solutions

    • M. V. Hariharan, S. D. Varwandkar, Pragati P. Gupta
    Pages 13-19
  4. Kirchhoff State

    • M. V. Hariharan, S. D. Varwandkar, Pragati P. Gupta
    Pages 21-26
  5. Modular Load Flow

    • M. V. Hariharan, S. D. Varwandkar, Pragati P. Gupta
    Pages 27-36
  6. Load Flow Examples

    • M. V. Hariharan, S. D. Varwandkar, Pragati P. Gupta
    Pages 37-50
  7. Outage Analysis

    • M. V. Hariharan, S. D. Varwandkar, Pragati P. Gupta
    Pages 51-58
  8. Voltage Behaviour

    • M. V. Hariharan, S. D. Varwandkar, Pragati P. Gupta
    Pages 59-69
  9. Optimization

    • M. V. Hariharan, S. D. Varwandkar, Pragati P. Gupta
    Pages 71-83
  10. Blackout Incipient

    • M. V. Hariharan, S. D. Varwandkar, Pragati P. Gupta
    Pages 85-102
  11. Dirac Structures

    • M. V. Hariharan, S. D. Varwandkar, Pragati P. Gupta
    Pages 103-113

About this book

In the subject of power systems, authors felt that a re-look is necessary at some conventional methods of analysis. In this book, the authors have subjected the time-honoured load flow to a close scrutiny. Authors have discovered and discussed a new load flow procedure – Modular Load Flow. Modular Load Flow explores use of power – a scalar – as source for electrical circuits which are conventionally analysed by means of phasors – the ac voltages or currents. The method embeds Kirchhoff’s circuit laws as topological property into its scalar equations and results in a unique wonderland where phase angles do not exist! Generators are shown to have their own worlds which can be superimposed to obtain the state of the composite power system.  The treatment is useful in restructured power systems where stakeholders and the system operators may desire to know individual generator contributions in line flows and line losses for commercial reasons. Solution in Modular Load Flow consists of explicit expressions which are applicable with equal ease to well-conditioned, ill-conditioned and very low voltage situations. It is found to be computationally much faster than the iterative load flows and indicates promise for online application. Indian blackouts of July 30 and 31, 2012 are analysed using an equivalent grid network to indicate its utility. Besides its ability to deal with ground reality in power systems, Modular Load Flow points to a theory that unveils interesting mathematical structures which should entice avid researchers.

Second author has had first author as teacher and third author as student. The lecture notes therefore reflect ethos of three generations of teachers. 

Authors and Affiliations

  • Indian Institute of Technology Bombay, Prof. Emeritus, Electrical Engineering, Mumbai, India

    M.V. Hariharan

  • Veermata Jijabai Technological Institute, Former Professor, Electrical Engineering, Mumbai, India

    S.D. Varwandkar

  • Veermata Jijabai Technological Institute, Assistant Professor, Electrical Engg., Mumbai, India

    Pragati P. Gupta

About the authors

Prof. M.V. Hariharan is Gold Medal awardee for his performance in B.Tech in the entire state of Madras (1954) and a UNESCO scholar (1959). He has been a popular faculty at IIT Bombay, Mumbai (1962 – 93) and is known for his down-to-earth teaching methods. He has been Visiting Professor at University of Manitoba, Canada (1987) and at University of Western Ontario London, Canada (1988). He was consultant to Tata Consulting Engineers, Maharashtra State Electricity Board, now restructured as Mahagenco (MSPGCL), Mahatransco (MSETCL) and Mahadiscom (MSEDCL). Prof. Hariharan has carried out research projects for Department of Science and Technology, India and has published papers in international journals. He has guided many PhD students.

Prof. S.D. Varwandkar, PhD (IIT Kanpur, India) was faculty at VJTI, Mumbai (1969 – 2004) and has taught courses on Electrical Machines, Power System Analysis, and Planning and Reforms and has published in international journals and guided three PhD students. He has carried out projects for Board of Research in Nuclear Sciences, India and was Expert Consultant at Global R & D, Crompton Greaves, Mumbai (2007 – 08). 

Ms. Pragati P. Gupta topped in BE among all branches of Engineering at Dibrugarh University in 1991 and in M.Tech (Power Systems) at VJTI. She is currently Assistant Professor of Electrical Engineering at VJTI and is associated with teaching of courses in Power Systems, especially Deregulated Systems.

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access