SpringerBriefs in Applied Sciences and Technology

Nonlinear Control Synthesis for Electrical Power Systems Using Controllable Series Capacitors

Authors: Manjarekar, N S, Banavar, Ravi N.

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About this book

In this work we derive asymptotically stabilizing control laws for
electrical power systems using two nonlinear control synthesis techniques.
For this transient stabilization problem the actuator considered is
a power electronic device, a controllable series capacitor (CSC).
The power system is described using two different nonlinear models - the second order swing equation and the third order flux-decay model.

To start with, the CSC is modeled by the injection model which is
based on the assumption that the CSC dynamics is very fast as compared to the dynamics of the power system and hence can be approximated by an algebraic equation. Here, by neglecting the CSC dynamics, the input vector $g(x)$ in the open loop system takes a
complex form - the injection model. Using this model, interconnection and damping assignment passivity-based control (IDA-PBC)
methodology is demonstrated on two power systems: a single machine infinite bus (SMIB) system and a two machine system.
Further, IDA-PBC is used to derive stabilizing controllers for power systems, where the CSC dynamics are included as a first order system.

Next, we consider a different control methodology, immersion and invariance (I\&I), to synthesize an asymptotically stabilizing control law for the SMIB system with a CSC. The CSC is described by a first order system. As a generalization of I\&I, we incorporate the power balance algebraic constraints in the load bus to the
SMIB swing equation, and extend the design philosophy to a
class of differential algebraic systems. The proposed result is then demonstrated on another example: a two-machine
system with two load buses and a CSC. The controller performances are validated through simulations for all cases.

Table of contents (7 chapters)

Table of contents (7 chapters)
  • Introduction

    Manjarekar, N. S. (et al.)

    Pages 1-6

  • Modeling of Power Systems

    Manjarekar, N. S. (et al.)

    Pages 7-13

  • Stabilization via Interconnection and Damping Assignment: Injection Model for the CSCs

    Manjarekar, N. S. (et al.)

    Pages 17-30

  • Stabilization Via Interconnection and Damping Assignment: First Order Model of the CSC

    Manjarekar, N. S. (et al.)

    Pages 31-43

  • Stabilization via Immersion and Invariance with the First Order Model of the CSC

    Manjarekar, N. S. (et al.)

    Pages 47-60

Buy this book

eBook $54.99
price for USA in USD (gross)
  • ISBN 978-3-642-27531-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA in USD
  • ISBN 978-3-642-27530-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Nonlinear Control Synthesis for Electrical Power Systems Using Controllable Series Capacitors
Authors
Series Title
SpringerBriefs in Applied Sciences and Technology
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
The Author(s)
eBook ISBN
978-3-642-27531-9
DOI
10.1007/978-3-642-27531-9
Softcover ISBN
978-3-642-27530-2
Series ISSN
2191-530X
Edition Number
1
Number of Pages
XI, 90
Number of Illustrations
36 b/w illustrations
Topics