Dimensionless study on efficiency of new exhaust residual pressure utilization system
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摘要:
利用能量方程、状态方程、运动方程和质量流量方程，建立新型排气余压利用系统气缸回程过程的基本数学模型。选取合适的基准值将数学模型无因次化，运用MATLAB/Simulink对无因次模型进行仿真，得到各无因次参数对排气回收效率的影响。仿真结果表明，排气回收效率主要由无因次固有周期、无因次进气口有效面积、切换判据及气缸无因次供气压力决定。当切换判据或气缸无因次供气压力增加而排气回收效率下降时，可以通过改变无因次进气口有效面积、无因次固有周期使其增加。对确定的气缸驱动系统，可以通过改变气罐体积来提高排气回收效率。
Abstract:Using the energy equation, state equation, motion equation and mass flow equation, the basic mathematical model of the cylinder backhaul process of the new exhaust residual pressure utilization system was established. The appropriate reference value is selected to make the mathematical model dimensionless, the software MATLAB/Simulink is used to simulate the dimensionless model, and the influence of each dimensionless parameter on the exhaust recovery efficiency is obtained. From the simulation results, it can be seen that the exhaust recovery efficiency is mainly determined by the dimensionless natural cycle, the dimensionless effective area of the air inlet, the switching criterion and the dimensionless supply pressure of the cylinder. When the switching criterion or the supply pressure of the cylinder increases and the exhaust recovery efficiency decreases, the efficiency can be increased by changing the dimensionless effective area and the dimensionless natural cycle of the air intake. For the determined cylinder drive system, the exhaust recovery efficiency can be improved by changing the volume of the tank.
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图 3 各参数无因次效率的变化率
Figure 3. Rate of change of dimensionless effciency for each parameter
图 5 气罐无因次体积对排气回收效率的影响
Figure 5. Effect of dimensionless tank volume on recovery efficiency
图 6 气罐无因次初始压力对排气回收效率的影响
Figure 6. Effect of dimensionless initial pressure of tank on recovery efficiency
表 1 基准量和无因次变量
Table 1. Reference and dimensionless variables
变量 基准量 无因次变量 P Ps P*=P/Ps t 
t*=t/Tp G 
G*=G/Gmax θ θ0 θ*=θ/θ0 x L x*=x/L A Aka A*=A/Aka V Va=AkaL V*=V/Va m mmax=PsVa/(Rθ0) m*=m/mmax 
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表 2 无因次参数初始值
Table 2. Initial value of dimensionless parameters
无因次参数 初始值 Tf* 0.0419 Fs* 0.0267 C* 0.0153 Vt* 8.0205 Akb* 0.8993 Fc* 0.0043 Ae2* 1 Ka1 0.2252 Ka2 0.2502 Pt* 0.1 λ 1 β 0.75
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