Transmission of Energy

Research output: Chapter in Book/Report/Conference proceedingChapter


When the great truth accidentally revealed and experimentally confirmed is fully recognized, that this planet, with all its appalling immensity, is to electric currents virtually no more than a small metal ball and that by this fact many possibilities, each baffling imagination and of incalculable consequence, are rendered absolutely sure of accomplishment; when the first plant is inaugurated and it is shown that a telegraphic message, almost as secret and non-interferable as a thought, can be transmitted to any terrestrial distance, the sound of the human voice, with all its intonations and inflections, faithfully and instantly reproduced at any other point of the globe, the energy of a waterfall made available for supplying light, heat or motive power, anywhere-on sea, or land, or high in the air-humanity will be like an ant heap stirred up with a stick: See the excitement coming!
Taken from the article by Nikola Tesla, “The transmission of electric energy without wires”, Electrical World and Engineer (1904)

In this chapter we provide exact and approximate results for the problem of the Transmission of Energy in Complex Networks.

The problem is the understanding of how the energy transmission between the providers of energy (such as power plants, renewable sources, or any type of supplying entity) and the consumers of energy (such as factories, homes, or any type of demand entity) depends on the topology and the structure of a network that inter-connects the two sets of entities and the dynamical behaviour of all the entities in the network, such as depicted in Fig. 1.4. Moreover, we want to provide safe strategies to create self-controlled and stable systems (i.e., resilient to failures, structural modifications, and dynamical changes) that have an optimal (i.e., with less cost and power dissipation) and smart (i.e., allowing the decentralisation of large power-plants into small fluctuating renewable energy-sources) energy transmission.

We divide our results into two sections: flow networks and power networks.
Original languageEnglish
Title of host publicationEnergy Transmission and Synchronisation in Complex Networks
Subtitle of host publicationMathematical Principles
EditorsNicolas Rubido
Number of pages39
ISBN (Print)978-3-319-22215-8
Publication statusPublished - 21 Aug 2015

Publication series

NameSpringer Theses-Recognizing Outstanding PhD Research
ISSN (Print)2190-5053




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