Water hammer protection and parameter optimization of air vessel based on hybrid particle swarm algorithm
Aiming at the air vessel parameter optimization problem in water hammer protection in high-lift pumping station,taking the maximum dimensionless water hammer pressure as the control target,the dimensionless reverse speed of pump and the minimum water hammer pressure value of pipeline as the constraints,and the air vessel diameter,height,initial water depth,connecting pipe diameter and air tank installation position as variables,the parameter optimization model of water hammer protection of air vessel is established.For a water supply project,hybrid particle swarm optimization algorithm is used to study the water hammer protection characteristics and size optimization of air vessel.The results show that with the increase of the air vessel volume,the maximum water hammer pressure decreases,the maximum reverse speed of the pump increases gradually.The minimum water hammer pressure fluctuates within-7 m,the diameter to height ratio generally shows an upward trend,the water depth ratio shows a downward trend,and the connection pipe diameter ratio is basically unchanged.On this basis,the design law of air vessel is obtained,that is,the ratios of diameter to height,water depth ratio and connecting pipe diameter ratio can be taken as 1.00,0.58 and 0.43.Then,the water hammer protection effect of the air vessel of the design value is compared with that of the optimal value,it is concluded that the water hammer protection effects of the design value and the optimal value of the air vessel are close,the maximum deviation of the maximum water hammer pressure at the pump outlet is nearly 1.73%,proving the feasibility of the design law,which provides a reference basis for the size design of air vessel and the application of water hammer protection.
water hammerhybrid particle swarm optimizationhigh-lift pumping stationair vessel