基于常微分方程的高压油管压力控制的问题研究

Research on Pressure Control of High Pressure Tubing based on Ordinary Differential Equation

燃油机是目前世界上应用领域极为广泛的一种热力机械。为了控制燃油机高压油管中的压力对燃油机的供油和喷油规律进行研究。为保持管内油压160MPa不变,首先运用SPSS软件对收集到的压力和弹性模量的数据进行回归分析,建立燃油压力、密度和弹性模量的微分方程模型,进而求出160MPa时燃油的密度然后建立供油量的初等模型,使之与喷油量相同,进而解出供油单向阀开启时长为0.7ms。为将高压油管内的压力尽量稳定在100MPa左右,用SPSS对针阀运动的数据进行分析来一个周期内喷油嘴工作的时间。然后运用瞬时燃油速率公式求出工作时间的喷油量,进而建立瞬时供油的微分方程模型,求出喷油泵凸轮的角速度为400rad/s。

Fuel oil engine is a kind of thermal machinery widely used in the world.In order to control the pressure in the high pressure tubing of the fuel oil machine,the oil supply and injection law of the fuel oil machine were studied.To keep tube oil pressure 160 MPa,first using the SPSS software to stress and elastic modulus of collected data regression analysis,establish a fuel pressure,density and elastic modulus of the differential equation model,and the density of 160 MPa fuel elementary model,and then set up the flow of oil to make it same as the fuel injection quantity,and then work out the oil supply one-way valve open time of 0.7 ms In order to keep the pressure in the high-pressure tubing as stable as possible at about 100MPa,SPSS was used to analyze the movement data of the needle valve to calculate the working time of the nozzle within one cycle.Then,the instantaneous fuel rate formula was used to calculate the amount of fuel injection at working time,and then the differential equation model of instantaneous oil supply was established,and then the angular velocity of the CAM for injection pump was calculated as 400rad/s.