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养殖场原料供不应求条件下沼气反馈供应链波动规律的仿真和微分方程解研究 被引量:4

Differential equation and simulation solution of methane feedback supply chain fluctuation regular when the demand exceeds the supply of the farm's raw material
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摘要 沼气是我国农村重要的生物质能.针对农村户用沼气池缺原料,但规模养殖的猪粪没有充分开发,直接排放污染环境的问题,养殖场、农户、政府、高校四方成立合作社,在鄱阳湖区实施了以养殖场猪粪为原料促全乡300个户用沼气池开发的沼气产业系统工程,产生了沼气从养殖场至农户的反馈供应链.用系统动力学仿真和微分方程理论方法结合进行反馈供应链的波动规律研究,首先,建立沼气产业养殖场至农户反馈供应链三阶基本流图模型,又建立其仿真方程,并应用调控参数法,建立原料供不应求反馈供应链模型,同时,用系统动力学仿真方法求出仿真解.接着,求对应微分方程解,进行了仿真解与微分方程解一致性证明.同时,从仿真解和微分方程解两方面论证了沼气供不应求时反馈供应链的波动规律及其意义. The methane always lack of material to is the important biomass produce methane, in the energy in China's rural other hand. the manure In the rural area, peasants in large-scale breeding farms wasn't developed fully and pollute environment by direct discharge. Farms, households, the government and the university created a cooperative society which created the methane gas industry system engineering to develop 300 households' methane tank using the manure and of farms. This article researched the variation rule of the feedback supply chain with differential equation and the system dynamics simulation. Firstly, We created the three order basic flow graph model of the methane feedback supply chain from farms to households, then founded the feedback supply chain three order constant coefficient differential equation and the system of three order constant coefficient nonhomogeneous equations. Secondly, they created the three order constant coefficient nonhomogeneous differential equation model when demand exceeded supply of manure of the farms with controlling parameters, and solved the special solution and functional solution including sine function, cosine function and exponential function. Thirdly, the simulation solution with the System Dynamics was solved. In addition, they proved the consistency between the simulation solution and function solution. Finally, they presented the fluctuation regular and its significance of methane feedback supply chain when demand exceeded supply.
出处 《系统工程理论与实践》 EI CSSCI CSCD 北大核心 2012年第10期2287-2296,共10页 Systems Engineering-Theory & Practice
基金 国家自然科学基金(71171208 70961001 71163032) 教育部人文社科基金(07JC630052) 教育部青年专项课题(EFA080250)
关键词 沼气 反馈供应链 系统动力学 仿真 微分方程 methane feedback supply chain system dynamics simulation differential equation
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