Abstract
Graph theory is a vast mathematical discipline used in various engineering fields. The first paper on graphs was written by famous Swiss mathematician Leonhard Euler. G. Kirchhoff was first to use graph theoretical concepts to characterize electrical network in the paper he published in 1847.
Topology is the property of something that doesn’t change when you bend it or stretch it as long as you don’t break anything.
Edward Witten
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
L. Euler, Solutio problematis ad geometriam situs pertinentis. Novi Commentarii Acad. Scientarium Imperialis Petropolitanque 7(1758–1759), 9–28.
G. Kirchhoff, Ueber die Auflösung der Gleichungen, auf welche man bei der Untersuchung der linearen Vertheilung galvanischer Ströme geführt wird. Ann. Phys. 148, 497–508 (1847). doi:10.1002/andp.18471481202
K.V.V. Murthy, M.S. Kamath, Basic Circuit Analysis, 8th edn. (Jaico Publishing House India, 2010)
G.W. Stagg, A.H. El-Abiad, Computer Methods in Power System Analysis, 1st edn. (McGraw-Hill Inc., US, 1968)
M.A. Pai, Computer Techniques in Power System Analysis (Tata McGraw-Hill, New Delhi, 1979)
G.T. Heydt, Computer Analysis Methods for Power Systems, 2 Edn. (Stars in a Circle Publication, 1994)
O.I. Elgerd, Electric Energy Systems Theory (Tata-McGraw-Hill, Delhi, 1983)
D. Cai, Y. Chen, Application of Homotopic methods to power systems. J. Comput. Math. 22(1), 61–68
A. Trias, The Holomorphic embedding load flow method. IEEE PES General Meeting, July 2012
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2016 Springer Science+Business Media Singapore
About this chapter
Cite this chapter
Hariharan, M.V., Varwandkar, S.D., Gupta, P.P. (2016). Introduction. In: Modular Load Flow for Restructured Power Systems. Lecture Notes in Electrical Engineering, vol 374. Springer, Singapore. https://doi.org/10.1007/978-981-10-0497-1_1
Download citation
DOI: https://doi.org/10.1007/978-981-10-0497-1_1
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-0496-4
Online ISBN: 978-981-10-0497-1
eBook Packages: EngineeringEngineering (R0)