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Simulation of knock probability in an internal combustion engine.

Huanyu Di¹, Tielong Shen¹

¹Department of Engineering and Applied Sciences, Sophia University, Kioicho 7-1, Chiyoda-ku, Tokyo 102-8554, Japan.

Physical Review. E

|August 17, 2018

Summary

Cycle-to-cycle variations in spark-ignition engines cause unpredictable combustion knock. This study introduces a simulator to model these variations and combustion phenomena, aiding engine control strategy optimization.

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Area of Science:

Internal Combustion Engines
Combustion Science
Stochastic Processes

Background:

Spark-ignition engines exhibit significant cycle-to-cycle variations in in-cylinder pressure and combustion knock tendency.
These variations stem from initial conditions at ignition and subsequent combustion processes, posing challenges for engine control.
The unpredictable and stochastic nature of these phenomena complicates optimization efforts.

Purpose of the Study:

To introduce a novel simulator for generating cycle-to-cycle varied in-cylinder pressure traces.
To model the deterministic and stochastic aspects of combustion in internal combustion engines.
To simulate engine combustion with a defined probability of knock occurrence.

Main Methods:

Utilized the Wiebe function and Livengood-Wu integration to model deterministic combustion behavior.
Employed Markov chains and other stochastic methods to represent cycle-to-cycle variations.
Developed a simulation framework to analyze combustion under varying conditions and knock probabilities.

Main Results:

Successfully generated a series of cycle-to-cycle varied in-cylinder pressure data.
Quantified the stochastic nature of combustion phenomena using probabilistic models.
Simulated combustion processes with controllable knock probabilities.

Conclusions:

The developed simulator effectively models cycle-to-cycle variations and stochastic combustion behavior in spark-ignition engines.
The approach provides a valuable tool for understanding and optimizing engine control strategies in the presence of combustion variability.
This simulation framework facilitates research into knock prediction and mitigation.