Gas network optimisation using Nash equilibria derived from dynamic non-cooperative non-zero sum game theory

Ramchandani, N-L 1992, Gas network optimisation using Nash equilibria derived from dynamic non-cooperative non-zero sum game theory , PhD thesis, University of Salford.

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Abstract

Efficient management of the national gas grid in Great Britain involves a complex optimisation task to resolve the sometimes conflicting requirements of security of supplies to customers, contractual obligation to suppliers and the cost of transmission, whilst at all times ensuring the integrity of the system. Existing computer software aids for this task in routine use within British Gas divide the optimisation into several parts which are treated separately before the results are brought together for expert assessment and decision. A single, integrated suite of programs to address all aspects of the optimisation would have obvious attractions. In this work we describe a possible framework for such a development, based on a dynamic non-cooperative game theoretic approach, in which the national transmission system (NTS) is viewed as a closed trading market for the trade of gas related commodities. The bulk of the thesis describes how the NTS is decentralized to be conceptually viewed as a macro economy for the trade of pressure, linepack, transmission capacity, mass flow rates of gas, and the like. A producer source terminal oligopoly, trading with a second transmission compressor station oligopoly is outlined to address the interaction between sourcing and transmission operations. The consumers network/demand off-takes are shown to be the key elements of the framework which maintain both the physical and economic integrity of the NTS. A conceptual framework is developed to implement the design to form HERO — an experimental economic decision tool. The conceptual elegance of our game theoretic approach is reflected in the computational simplicity, and hence efficiency, associated with the natural computational parallelism and integral discrete and continuous player decision making behaviour. In addition to implementation details, results from test applications to small sections of the UK NTS are presented as evidence of its potential value in allowing grid controllers to directly address network operations from a strategic and tactical managerial view point.

Item Type: Thesis (PhD)
Contributors: Fletcher, L (Supervisor) and Gray, J (Supervisor)
Schools: Schools > School of Computing, Science and Engineering
Funders: British Gas Research Scholarship
Depositing User: Institutional Repository
Date Deposited: 23 Jul 2021 13:41
Last Modified: 27 Aug 2021 21:55
URI: http://usir.salford.ac.uk/id/eprint/61279

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