基于平行竞争PSO算法的土壤水分测量研究
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摘要
为了提高测量土壤水分Van Genuchten方程求解的精度,提出平行竞争PSO算法。首先在PSO算法基础上,当粒子群最大半径值小于某个阈值时,竞争才被触发,同时最差粒子被重置,粒子被重置的比例随着迭代次数增加而非线性减少;接着粒子群分成若干子群,子群的群平均适应度与原始粒子群平均适应度相差不能小于设定的阈值,引入不同的共享因子对子群与子群、粒子与子群之间进行信息共享动态调节;最后粒子适应度函数由Van Genuchten方程参数构成,给出了算法流程。实验仿真显示本文算法对测试函数求解具有收敛速度较快、解精度较高的特点,测量粉壤土脱湿数据的相对误差最大为5%,吸湿数据的相对误差最大为4%,相比其他算法都较小。
In order to improve the accuracy of the solution of the Van Genuchten equation of soil moisture measurement,a parallel competitive PSO algorithm is proposed. Firstly,based on the PSO algorithm,when the maximum radius value of the particle swarm is less than a certain threshold,the competition is triggered,and the worst particle is reset. Then,the particle swarm is divided into several subgroups,and the difference between the average fitness of the subgroup and the average fitness of the original particle swarm can not be less than the set threshold. Different sharing factors are introduced to dynamically adjust the information sharing between the subgroups and the subgroups and between the particles and the subgroups. Finally,the particle fitness function is composed by the parameters of Van Genuchten equation,and the algorithm flow is given. Experimental simulation shows that the algorithm in this paper has the characteristics of fast convergence speed and high solution accuracy in solving the test function,and the maximum relative error of the measured data of dehumidification of powdery loam is 5%,and the maximum relative error of the moisture absorption data is 4%,which is smaller than other algorithms.
In order to improve the accuracy of the solution of the Van Genuchten equation of soil moisture measurement,a parallel competitive PSO algorithm is proposed. Firstly,based on the PSO algorithm,when the maximum radius value of the particle swarm is less than a certain threshold,the competition is triggered,and the worst particle is reset. Then,the particle swarm is divided into several subgroups,and the difference between the average fitness of the subgroup and the average fitness of the original particle swarm can not be less than the set threshold. Different sharing factors are introduced to dynamically adjust the information sharing between the subgroups and the subgroups and between the particles and the subgroups. Finally,the particle fitness function is composed by the parameters of Van Genuchten equation,and the algorithm flow is given. Experimental simulation shows that the algorithm in this paper has the characteristics of fast convergence speed and high solution accuracy in solving the test function,and the maximum relative error of the measured data of dehumidification of powdery loam is 5%,and the maximum relative error of the moisture absorption data is 4%,which is smaller than other algorithms.
引文
[1]马春芽,王景雷,黄修桥.遥感监测土壤水分研究进展[J].节水灌溉,2018(5):70-74.
[2]李彬楠,樊贵盛.土壤水分特征曲线Van-Genuchten模型参数的土壤传输函数比选[J].中国农村水利水电,2018(5):33-36.
[3]Chaudhuri A,Hendricks Franssen H J,Sekhar M.Iterative filter based estimation of fully 3D heterogeneous fields of permeability and Mualem-van Genuchten parameters[J].Advances in Water Resources,2018,122(12):340-354.
[4]Van Genuchten M T.A closed-form equation for predicting the hydraulic conductivity of unsaturated soils[J].Soil Science Society of America Journal,1980,44(5):892-898.
[5]陈大春,马英杰.基于随机粒子群算法的VanGenuchten方程参数优化求解[J].农业工程学报,2006,22(12):82-85.
[6]Sabino Maggi.Estimating water retention characteristic parameters using differential evolution[J].Computers and Geotechnics,2017,86(6):163-172.
[7]廖林仙,邵孝侯,徐俊增.基于智能算法推求Van Genuchten方程的参数[J].水利学报,2007,10(S1):696-670.
[8]李琳,黄锐,彭化伟.基于免疫遗传算法估计Van-Genuchten方程参数[J].黑龙江水利科技,2012(2):46-48.
[9]ZHANG Hao-wei,XIE Jun-wei,GE Jia-ang,et al.An Entropybased PSO for DAR task scheduling problem[J].Applied Soft Computing,2018,73(12):862-873.
[10]Luu Keurfon,Nobl Marke,GESRET Alexandrine,et al.A parallel competitive Particle Swarm Optimization for non-linear first arrival traveltime tomography and uncertainty quantification[J].Computers&Geosciences,2018,113(4):81-93.
[11]李艳,李宏义.基于环型对称粒子结构算法的电路板红外图像增强研究[J].实验室研究与探索,2018,37(9):52-56,61.
[12]Abdelghan Ahmedy,Abdelghany Khaled,Azadia Farshid.Airline flight schedule planning under competition[J].Computers&Operations Research,2017,87(11):20-39.
[13]CAO Hai-tao,YUE Xing-ye.Homogenization of Richards'equation of van Genuchten-Mualem model[J].Journal of Mathematical Analysis and Applications,2014,412(1):391-400.
[14]Liang Xi,Liakos Vasilis,Wendroth Ole,et al.Scheduling irrigation using an approach based on the van Genuchten model[J].Agricultural Water Management,2016,176(10):170-179.
[15]莫愿斌,刘付永,马彦追.改进的萤火虫优化算法求解Van Genuchten方程参数[J].计算机科学,2013,40(11A):131-135.
[2]李彬楠,樊贵盛.土壤水分特征曲线Van-Genuchten模型参数的土壤传输函数比选[J].中国农村水利水电,2018(5):33-36.
[3]Chaudhuri A,Hendricks Franssen H J,Sekhar M.Iterative filter based estimation of fully 3D heterogeneous fields of permeability and Mualem-van Genuchten parameters[J].Advances in Water Resources,2018,122(12):340-354.
[4]Van Genuchten M T.A closed-form equation for predicting the hydraulic conductivity of unsaturated soils[J].Soil Science Society of America Journal,1980,44(5):892-898.
[5]陈大春,马英杰.基于随机粒子群算法的VanGenuchten方程参数优化求解[J].农业工程学报,2006,22(12):82-85.
[6]Sabino Maggi.Estimating water retention characteristic parameters using differential evolution[J].Computers and Geotechnics,2017,86(6):163-172.
[7]廖林仙,邵孝侯,徐俊增.基于智能算法推求Van Genuchten方程的参数[J].水利学报,2007,10(S1):696-670.
[8]李琳,黄锐,彭化伟.基于免疫遗传算法估计Van-Genuchten方程参数[J].黑龙江水利科技,2012(2):46-48.
[9]ZHANG Hao-wei,XIE Jun-wei,GE Jia-ang,et al.An Entropybased PSO for DAR task scheduling problem[J].Applied Soft Computing,2018,73(12):862-873.
[10]Luu Keurfon,Nobl Marke,GESRET Alexandrine,et al.A parallel competitive Particle Swarm Optimization for non-linear first arrival traveltime tomography and uncertainty quantification[J].Computers&Geosciences,2018,113(4):81-93.
[11]李艳,李宏义.基于环型对称粒子结构算法的电路板红外图像增强研究[J].实验室研究与探索,2018,37(9):52-56,61.
[12]Abdelghan Ahmedy,Abdelghany Khaled,Azadia Farshid.Airline flight schedule planning under competition[J].Computers&Operations Research,2017,87(11):20-39.
[13]CAO Hai-tao,YUE Xing-ye.Homogenization of Richards'equation of van Genuchten-Mualem model[J].Journal of Mathematical Analysis and Applications,2014,412(1):391-400.
[14]Liang Xi,Liakos Vasilis,Wendroth Ole,et al.Scheduling irrigation using an approach based on the van Genuchten model[J].Agricultural Water Management,2016,176(10):170-179.
[15]莫愿斌,刘付永,马彦追.改进的萤火虫优化算法求解Van Genuchten方程参数[J].计算机科学,2013,40(11A):131-135.