International Journal of Automotive Technology

, Volume 20, Issue 6, pp 1195–1203 | Cite as

Modeling Analysis on Improving Cylinder Balance in A Gasoline Engine Using Electromagnetic Valve Train

  • Yaxuan Xu
  • Siqin ChangEmail author
  • Liang Liu
  • Tianbo Wang
  • Maoyang Hu


For the multi-cylinder gasoline engine, the consistency among cylinders is an important index to affect the engine emission and the engine power. In this paper, an individual cylinder air-fuel ratio (A/F) control method for a fourcylinder camless engine with the electromagnetic valve train (EMVT) was proposed to reduce the imbalance of engine torque. An individual cylinder A/F estimation algorithm with a single universal exhaust gas oxygen (UEGO) sensor based on fading Kalman filtering was introduced. Four proportional-integral feedback controllers were built to regulate the individual A/F by adjusting the intake valve closing (IVC) timing of each cylinder independently based on the EMVT. The effectiveness of the proposed estimation and control approach was validated by co-simulation of GT-Power and Simulink. The results showed that the proposed estimation method could accurately estimate the individual cylinder A/F, and the maximum estimation error under steady state condition was less than 1 %. With the feedback control, both the individual A/F imbalance and the cylinderto- cylinder torque generation imbalance were decreased.

Key Words

Individual A/F control Gasoline engine Electromagnetic valve train Torque balancing 




air-fuel ratio


bottom dead center


brake specific fuel consumption


electromagnetic valve train


friction mean effective pressure


injected mass


intake valve closing




relative standard deviation


universal exhaust gas oxygen









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This work was supported by the National Natural Science Foundation of China [grant number 51306090]; and the Natural Science Foundation of Jiangsu Province, China [grant number BK20130762].


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Copyright information

© KSAE/ 111-12 2019

Authors and Affiliations

  • Yaxuan Xu
    • 1
  • Siqin Chang
    • 1
    Email author
  • Liang Liu
    • 1
  • Tianbo Wang
    • 2
  • Maoyang Hu
    • 1
  1. 1.School of Mechanical EngineeringNanjing University of Science and TechnologyNanjingChina
  2. 2.School of Automobile and Traffic EngineeringJiangsu University of TechnologyChangzhouChina

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