Conservation law-based air mass flow calculation in engine intake systems



In current engine controls, a number of control methods are based on the air charge estimation in engine intake systems. Since the derivative of the air mass flow through the throttle valve goes to infinity when the intake pressure is close to the upper stream pressure, the relatively large numerical error or oscillation occurs near the singularity point when using common algorithms. This paper develops an effective algorithm for calculating the air mass flow in engine intake systems. Utilizing the high-level model description (HLMD), the system is described by mass and energy conservation laws and therefor the singularity issue at the zero pressuredifference point is transformed into a singularity issue at the corresponding energy point. Then, the implicit midpoint rule, a special symplectic discrete method, is selected to integrate the energy and mass conservation system. The simulation results show that the numerical behaviour of the air mass flow is significantly improved at the singularity point by using the proposed algorithm. The experimental results also verify that the qualitative behaviour of the air mass flow calculated by the proposed algorithm is consistent with the actual physical system.


本文提出了一种有效的发动机进气系统进气流量计算方法。基于HLM方法, 应用能量和质量守恒定律建立进气系统模型, 从而将零压差点的奇异问题转换成相应能量点的奇异问题。提出了一种隐式的离散求解方法, 消除了数字仿真技术带来的奇异点震荡问题。仿真结果表明, 应用此算法进气流量的数值行为在奇异点得到有效改善, 实验结果也验证了由此算法计算的进气流量的定性行为与实际的物理系统相一致。

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Correspondence to Tielong Shen.

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Fan, J., Wu, Y., Ohata, A. et al. Conservation law-based air mass flow calculation in engine intake systems. Sci. China Inf. Sci. 59, 112210 (2016).

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  • air mass flow
  • engine intake system
  • conservation law
  • singularity
  • numerical method


  • 进气流量
  • 发动机进气系统
  • 守恒律
  • 奇异
  • 数值方法