Geometrical Methods for Power Network Analysis

✍ Scribed by Stefano Bellucci, Bhupendra Nath Tiwari, Neeraj Gupta (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2013
• Tongue: English
• Leaves: 106
• Series: SpringerBriefs in Electrical and Computer Engineering
• Edition: 1
• Category: Library

✦ Synopsis

This book is a short introduction to power system planning and operation using advanced geometrical methods. The approach is based on well-known insights and techniques developed in theoretical physics in the context of Riemannian manifolds.

The proof of principle and robustness of this approach is examined in the context of the IEEE 5 bus system.

This work addresses applied mathematicians, theoretical physicists and power engineers interested in novel mathematical approaches to power network theory.

✦ Table of Contents

Front Matter....Pages i-xii
Introduction....Pages 1-10
Proposed Methodology....Pages 11-18
Intrinsic Geometric Characterization....Pages 19-28
A Test of Network Reliability....Pages 29-32
A Test of Voltage Stability....Pages 33-40
Phases of Power Network....Pages 41-60
Phase Shift Correction....Pages 61-66
Complex Power Optimization....Pages 67-75
Large Scale Voltage Instability....Pages 77-84
Conclusion and Outlook....Pages 85-88
Back Matter....Pages 89-97

✦ Subjects

Power Electronics, Electrical Machines and Networks;Electronic Circuits and Devices;Appl.Mathematics/Computational Methods of Engineering;Mathematical Applications in the Physical Sciences;Complex Networks