Computer aided optimization of natural gas pipe networks using genetic algorithm

This study is concerned to determine the optimum pipe size for networks used in natural gas applications. The genetic algorithm has been used in optimizing network parameters. The topology of the network is predefined. The study deals with the discrete nature of decision variables, namely, pipe diameters, as they are usually available in market in standard sizes. Hard constraints and soft constraints are considered. An imposed penalty factor is introduced to allow solutions that violate soft constraints to remain in the population during the solution progress guiding the algorithm convergence to a minimum network cost. In a case study, engineers with average experience of 6 years in the design office of a gas company performed the design of a gas network problem using their experience and judgment. The adopted method by engineers depends on a trial and error, time consuming, procedure. Their results are compared with the results obtained from the developed genetic algorithm optimization technique. The developed optimization technique has provided a distinctive reduction in the total cost of pipe networks over the existing heuristic approach which is based on human experience and judgment. A saving up to 12.1% has been achieved using the present analysis, in the special case studied.

[1]  R. C. Peralta,et al.  Closure to discussion on Optimal in-situ bioremediation design by hybrid genetic algorithm-simulated annealing , 2005 .

[2]  Zbigniew Michalewicz,et al.  Handbook of Evolutionary Computation , 1997 .

[3]  Dimitri P. Solomatine,et al.  Application of global optimization to the design of pipe networks , 2000 .

[4]  Dragan Savic,et al.  Evolutionary multi-objective optimization of the design and operation of water distribution network: total cost vs. reliability vs. water quality , 2006 .

[5]  Luigi Berardi,et al.  Efficient multi-objective optimal design of water distribution networks on a budget of simulations using hybrid algorithms , 2009, Environ. Model. Softw..

[6]  Angus R. Simpson,et al.  Genetic algorithm pipe network optimization: The next generation in distribution system analysis , 1996 .

[7]  Kourosh Behzadian,et al.  Stochastic sampling design using a multi-objective genetic algorithm and adaptive neural networks , 2009, Environ. Model. Softw..

[8]  Andrzej J. Osiadacz,et al.  Methods of steady-state simulation for gas networks , 1988 .

[9]  Kaj Madsen,et al.  Optimization of pipe networks , 1991, Math. Program..

[10]  Godfrey A. Walters,et al.  Genetic Operators and Constraint Handling for Pipe Network Optimization , 1995, Evolutionary Computing, AISB Workshop.

[11]  Sj van Vuuren,et al.  Application of genetic algorithms - Determination of the optimal pipe diameters , 2002 .

[12]  Yves Smeers,et al.  Optimal Dimensioning of Pipe Networks with Application to Gas Transmission Networks , 1996, Oper. Res..

[13]  Ashraf O. Nassef,et al.  Shape Optimization of NURBS Modeled 3D C-Frames Using Hybrid Genetic Algorithm , 2002, DAC 2002.

[14]  Angus R. Simpson,et al.  Genetic algorithms compared to other techniques for pipe optimization , 1994 .

[15]  R. Haupt Optimum population size and mutation rate for a simple real genetic algorithm that optimizes array factors , 2000, IEEE Antennas and Propagation Society International Symposium. Transmitting Waves of Progress to the Next Millennium. 2000 Digest. Held in conjunction with: USNC/URSI National Radio Science Meeting (C.

[16]  Graeme C. Dandy,et al.  Genetic algorithms compared to other techniques for pipe optimization , 1994 .

[17]  Mark S. Morley,et al.  GAnet: genetic algorithm platform for pipe network optimisation , 2001 .

[18]  Graeme C. Dandy,et al.  A Review of Pipe Network Optimisation Techniques , 1993 .

[19]  Patrick D. Surry,et al.  Constrained Gas Network Pipe Sizing with Genetic Algorithms , 2003 .

[20]  H. B. Nielsen Methods for Analyzing Pipe Networks , 1989 .

[21]  Luis A. Castillo,et al.  Distribution network optimization: Finding the most economic solution by using genetic algorithms , 1998, Eur. J. Oper. Res..

[22]  Zoran Kapelan,et al.  Robust Least-Cost Design of Water Distribution Networks Using Redundancy and Integration-Based Methodologies , 2007 .

[23]  Jerry L. Anderson Water Resources Planning and Management and Urban Water Resources , 1991 .

[24]  Jianzhong Zhang,et al.  A Bilevel Programming Method for Pipe Network Optimization , 1996, SIAM J. Optim..