结合可靠度的自压树状管网管径优化研究
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摘要
在自压输水系统中,管道投资占系统的比例较大,管径既是管道系统的一个基本技术参数,也是影响管道经济性的一个重要因素。【目的】合理地选取管径,节约工程投资、降低能耗、保证系统供水安全。【方法】以管网投资和运行管理费用最小为目标函数,管网节点水量可靠度指标、水压、流速等为约束条件,建立了自压树状管网管径优化模型,以新疆苏巴什河自压输水灌区为例进行分析,采用PSO算法与SAPSO算法优化求解模型。【结果】对比相同节点水量可靠度下的目标函数费用,SAPSO算法均低于PSO算法,其优化结果更好;对节点水量可靠度Ri=0.7下SAPSO算法的计算结果与最优解的相对偏差统计分析可知,小于10%的概率达到97%,其所建模型稳定,计算精度较高。【结论】考虑管网可靠性,所建模型能够较为系统地反映自压输水管网在全寿命周期的运行情况,运行结果的可靠性高;利用SAPSO算法优化求解模型,优化结果更为精确可靠,该方法能为类似工程的管网管径优化问题提供借鉴。
【Objective】In the self-pressure water conveyance system, the pipe investment accounts for a large proportion of the system. The pipe diameter is not only a basic technical parameter of the pipeline system, but also an important factor affecting the economy of the pipeline. Therefore, how to choose the diameter reasonably is of great significance for saving investment, reducing energy consumption and ensuring the safety of water supply.【Method】Minimize the cost of investment and operation management was taken as the objective function, waterreliability index, water pressure and flow velocity of pipe network node were as constraint conditions, and on the basis of this, the optimization model of the self-pressurized tree tube network pipe diameter was established. The PSO algorithm and the SAPSO algorithm were used to solve the model under an example of analyzing the SUBASHI river water irrigation in Xinjiang【.Result】Comparing with the objective function cost under the same node water reliability, the SAPSO algorithm is lower than the PSO algorithm, and the optimization result is better. The statistical analysis of the relative deviation between the calculated results and the optimal solution of the SAPSO algorithm when the node's water reliability Ri=0.7 can be found that the probability of less than 10% is 97% and so the model is stable and the precision is high.【Conclusion】With considering the reliability of the pipeline network, the model can systematically reflect the operation of the self-pressure water delivery network in the whole life cycle, and the reliability of its operation result is high. And when the SAPSO algorithm is used to optimize the model, the optimization results will be more accurate and reliable. In a word, this method can provide reference for the pipe diameter optimization of similar projects.
【Objective】In the self-pressure water conveyance system, the pipe investment accounts for a large proportion of the system. The pipe diameter is not only a basic technical parameter of the pipeline system, but also an important factor affecting the economy of the pipeline. Therefore, how to choose the diameter reasonably is of great significance for saving investment, reducing energy consumption and ensuring the safety of water supply.【Method】Minimize the cost of investment and operation management was taken as the objective function, waterreliability index, water pressure and flow velocity of pipe network node were as constraint conditions, and on the basis of this, the optimization model of the self-pressurized tree tube network pipe diameter was established. The PSO algorithm and the SAPSO algorithm were used to solve the model under an example of analyzing the SUBASHI river water irrigation in Xinjiang【.Result】Comparing with the objective function cost under the same node water reliability, the SAPSO algorithm is lower than the PSO algorithm, and the optimization result is better. The statistical analysis of the relative deviation between the calculated results and the optimal solution of the SAPSO algorithm when the node's water reliability Ri=0.7 can be found that the probability of less than 10% is 97% and so the model is stable and the precision is high.【Conclusion】With considering the reliability of the pipeline network, the model can systematically reflect the operation of the self-pressure water delivery network in the whole life cycle, and the reliability of its operation result is high. And when the SAPSO algorithm is used to optimize the model, the optimization results will be more accurate and reliable. In a word, this method can provide reference for the pipe diameter optimization of similar projects.
引文
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[11]何忠华,袁一星.基于剩余能量熵的供水管网可靠性优化设计[J].浙江大学学报(工学版), 2014, 48(7):1 188-1 194.
[12]何忠华.供水管网剩余能量熵及可靠性评价研究[D].哈尔滨:哈尔滨工业大学, 2014.
[2]龚时宏,中达雄,田中良和.管网安全性水力评价指标的研究[J].灌溉排水学报,2003, 22(1):67-69.
[3] TANYIMBOTH T T, SIEW C, SALEH S, et al. Comparison of surrogate measures for the reliability and redundancy of water distribution systems[J].Water Resources Management, 2016, 30(10):3 535-3 552.
[4] GHEISI A, NASER G. Multistate reliability of water-distribution systems:comparison of surrogate measures[J]. Journal of Water Resources Planning&Management, 2015, 141(10):04015018.
[5]何忠华,袁一星.基于剩余能量熵的供水管网可靠性优化设计[J].浙江大学学报(工学版), 2014, 48(7):1 188-1 194.
[6]周荣敏,林性粹.用基于整数编码的改进遗传算法进行环状管网优化设计[J].灌溉排水, 2001, 20(3):49-52.
[7]付玉娟,蔡焕杰,张旭东.基于图论和列队竞争算法的环状管网优化设计[J].灌溉排水学报, 2008, 27(4):81-84.
[8]王新坤.基于模拟退火遗传算法的自压树状管网优化[J].水利学报, 2008, 39(8):1 012-1 016.
[9]孙明月,许文斌,邹彬,等.基于整数编码粒子群算法的树状供水管网优化[J].水资源与水工程学报, 2012,23(6):168-171.
[10]朱成立,谢志远,柳智鹏.基于蚁群算法的灌溉管网布置与管径优化设计研究[J].江西农业学报, 2015,27(3):93-96.
[11]何忠华,袁一星.基于剩余能量熵的供水管网可靠性优化设计[J].浙江大学学报(工学版), 2014, 48(7):1 188-1 194.
[12]何忠华.供水管网剩余能量熵及可靠性评价研究[D].哈尔滨:哈尔滨工业大学, 2014.