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Geometrical Methods for Power Network Analysis pp 1–10Cite as

Introduction

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Abstract

The goal of this research review is to describe advances in the state of the art with regard to power system reliability [1] and voltage (in)stability [2,3]. We consider a given network configuration in the sense of statistical mechanics and examine the domains of (in)stability from the standpoint of intrinsic geometry. We introduce the geometric theory of statistical stability for power networks. In this respect, it is well known that, for effective power system planning, the appropriate reactive compensation [4] is essential with a suitable set of network parameters (resistance \(R\) and reactance \(X\)) and associated planning issues [5,6]. With a given network as the statistical system, such planning helps to reduce the apparent power by cutting reactive power losses in the network.

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Authors and Affiliations

  1. Laboratori Nazionali di Frascati, Istituto Nazionale di Fisica Nucleare, via E. Fermi 40, 00044, Frascati, RM, Italy

    Stefano Bellucci & Bhupendra Nath Tiwari

  2. Department of Electrical Engineering, Indian Institute of Technology Kanpur, Kanpur, UP, 208016, India

    Neeraj Gupta

Authors
  1. Stefano Bellucci
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  2. Bhupendra Nath Tiwari
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  3. Neeraj Gupta
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Correspondence to Stefano Bellucci .

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Bellucci, S., Tiwari, B.N., Gupta, N. (2013). Introduction. In: Geometrical Methods for Power Network Analysis. SpringerBriefs in Electrical and Computer Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33344-6_1

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  • DOI: https://doi.org/10.1007/978-3-642-33344-6_1

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