Abstract
To solve the inconsistency problem of multi-cylinders of two-stroke spark-ignition engines and use the air–fuel ratio for the control of cylinder consistency on the basis of the factors that influence the consistency between cylinders, an individual cylinder fuel compensation control strategy based on the air–fuel ratio deviation including feedforward and feedback control was proposed. The basic fuel injection quantity was determined using the feedforward control. Proportion–integration–differentiation feedback control based on the air–fuel ratio deviation helped realize the compensation and correction of individual cylinder fuel. To achieve consistency control between cylinders, engine bench tests for the idle and small-load conditions were conducted on a two-cylinder two-stroke spark-ignition engine. The test results show that the reduced pressure difference between the two cylinders was less than 10%. The head temperature and air–fuel ratio between the two cylinders were also reduced. The air–fuel ratio of the two cylinders was similar to the target value, which indicates that the control strategy has a good control effect.
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Abbreviations
- AFR:
-
Air–fuel ratio
- ATDC:
-
After top dead centre
- CA:
-
Crank angle
- ECU:
-
Electronic control unit
- SI:
-
Spark ignition
- UAV:
-
Unmanned aerial vehicle
- UEGO:
-
Universal exhaust gas oxygen
- e :
-
Air–fuel ratio deviation
- ec :
-
Rate of air–fuel ratio deviation
- e(k):
-
Deviation of PID controller
- \(K_{\mathrm{p}}\) :
-
Proportion coefficient
- \(K_{\mathrm{i}}\) :
-
Integration coefficient
- \(K_{\mathrm{d}}\) :
-
Differentiation coefficient
- \(m_{f0}\) :
-
Basic fuel injection quantity
- \({ P}_\mathrm{pav}\) :
-
Average peak pressure
- u(k):
-
Control parameter of PID controller
- U :
-
Output of controller
- \(U_{\mathrm{ek}}\) :
-
Threshold value
- \(U_{\mathrm{fPID}}\) :
-
Output of the fuzzy PID controller
- \(U_{\mathrm{PID}}\) :
-
Output of the conventional PID controller
- \(U_{\mathrm{yek}}\) :
-
Threshold value of air–fuel ratio
- \(y_0 \) :
-
Target air–fuel ratio
- \(y_1 , y_2 \) :
-
Air–fuel ratio of cylinders 1 and 2
- d:
-
Differentiation
- f0:
-
Initial fuel injection
- fPID:
-
Fuzzy proportion–integration–differentiation
- i:
-
Integration
- p:
-
Proportion
- pav:
-
Average peak pressure
- PID:
-
Proportion–integration–differentiation
- yek:
-
Threshold value of air–fuel ratio
- \(\alpha \) :
-
Throttle position
- \(\beta \) :
-
Output weight of the conventional PID controller
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Acknowledgements
This study was funded by the Introduce Talent Funding for Scientific Research at Nanjing Tech University (Grant No. 3827401744) and National Natural Science Foundation of China (51865031), as well as the Science and Technology Research Project of Jiangxi Provincial Education Department (Grant No. GJJ170789). The research project was also supported by the Jiangsu Province Key Laboratory of Aerospace Power System (Grant No. CEPE2018003).
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Liu, R., Sheng, J., Wei, M. et al. Control of Cylinder Consistency for a Two-Stroke Spark-Ignition Engine. Arab J Sci Eng 44, 5671–5678 (2019). https://doi.org/10.1007/s13369-018-3686-0
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DOI: https://doi.org/10.1007/s13369-018-3686-0