This paper reviews the methods of gas-flow analysis and defines the optimisation problems in the gas engineering field. The formulations involving the two principal solution methods to the optimisation problems are given. These are the linear programming approach and the non-linear programming approach. The choice of solution methods and their relative advantages are discussed The final section of the paper deals with a possible future area of research with regard to hierarchical control in the gas engineering field. The discussion concentrates on methods of decomposition and possible computer configurations.
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References
1.
Brameller, A. and Lo, K.L.1970. 'The applications of diakoptics and escalator methods to solutions of very large Eigenvalue problems', Int J Numerical Methods for Engineering, 2, 535-549.
2.
Davenport, R.1972. Minimisation of leakage losses from gas systems , PhD thesis, University of Manchester Institute of Science and Technology ,
3.
Fiacco, A.V. and McCormick, G.P.1964. 'The sequential unconstrained minimisation technique for non-linear programming: A primal-dual method', Management Sci, 10 (2), 360—366.
4.
Grass, S.1964. Linear programming, McGraw-Hill , New York.
5.
Hadley, G.1962. Linear programming, Addison-Wesley .
6.
Hadley, G.1964. Non-linear and dynamic programming, Addison-Wesley.
7.
Haman, Y. and Brameller, A.1971. 'Hybrid method for the solution of piping networks ', Proc IEE, 118 (11).
8.
Hyman, S.I.1963. 'Network analysis by method of adjusting pressures ', AGA, Operation Section Transmission Conference , USA.
9.
Irving, M.R., Owen, R.C. and Sterling, M.J.H.1978. 'Power system state estimation using linear programming', Proc IEE, 125 (9), 879-885.
10.
Lo, K.L.1978. 'Several numerical methods for matrix inversion' , Int J Elect Engineering, Educ, 15 (2), 131—141.
11.
Lo, K.L. and Brameller, A.1971. 'Optimal operation of gas-supply system', Proc IEE, 118 (8), 1013—1021.
12.
Lo, K.L. and Davenport, R.1971. 'Distribution network solutions', Sixth Universities Power Engineering Conference, University of Manchester Institute of Science and Technology.
13.
Lo, K.L., Ong, P.S., McColl, R.D., Moffatt, A.M., Sulley, J.L. and Moyes, I.1982. 'Power system state estimation: A method for metering reinforcement', IEEE Trans Power Apparatus and Systems, 101, 3493—3501.
14.
Lo, K.L., Ong, P.S., McColl, R.D., Moffatt, A.M. and Sulley, J.L.1983. 'Development of a static state estimator: Parts I and II, IEEE Trans Power Apparatus and Systems, 102, 2486-2500.
15.
Lo, K.L., Mofreh, M.Salem, McColl, R.D., Moffatt , A.M. and Sulley, J.L.1984. 'Multi-level state estimation for electric power systems', 19th Universities Power Engineering Conference, Dundee University.
16.
Stott, B. and Hobson, E.1971. 'Solution of large power-system networks by ordered elimination: a comparison of ordering schemes', Proc IEE, 118 (1), 123—134.
17.
Tinney, W.F.1969. 'Some examples of sparse matrix methods for power network problems', Proc Third Power Systems Computation Conference, Rome.
18.
Travers, K.1967. 'The Mesh Method in gas networks analysis', Gas J, Nov.
Zollenkopf, K.1970. 'Bi-factorisation-basic computational algorithm and programming techniques', IMA Conference on Large Sparse Sets of Linear Equations, Oxford.
