AMESim-PID-Kriging-based Reliability Analysis Method for Air-fuel Ratio Control of General Aviation Engines

doi:10.3969/j.issn.1004-132X.2025.10.033

China Mechanical Engineering ›› 2025, Vol. 36 ›› Issue (10): 2433-2443.DOI: 10.3969/j.issn.1004-132X.2025.10.033

AMESim-PID-Kriging-based Reliability Analysis Method for Air-fuel Ratio Control of General Aviation Engines

Pengpeng ZHI¹^,³^,⁴(), Xueqin LIU¹^,², Yi GUAN², Jiang WU³, Zhonglai WANG¹^,²()

^1.Yangtze Delta Region Institute （Huzhou），University of Electronic Science and Technology of China，Huzhou，Zhejiang，313000
^2.School of Mechanical and Electrical Engineering，University of Electronic Science and Technology of China，Chengdu，611731
^3.Sichuan Province Engineering Technology Research Center of General Aircraft Maintenance，Civil Aviation Flight University of China，Guanghan，Sichuan，618307
^4.Henan International Joint Laboratory of Man Machine Environment and Emergency Management，Anyang Institute of Technology，Anyang，Henan，455099

Received:2024-10-07 Online:2025-10-25 Published:2025-11-05
Contact: Zhonglai WANG

基于AMESim-PID-Kriging的通航发动机空燃比控制可靠性分析方法

智鹏鹏¹^,³^,⁴(), 刘雪琴¹^,², 官毅², 吴江³, 汪忠来¹^,²()

^1.电子科技大学长三角研究院(湖州), 湖州, 313000
^2.电子科技大学机械与电气工程学院, 成都, 611731
^3.中国民用航空飞行学院四川省通用航空器维修工程技术研究中心, 广汉, 618307
^4.安阳工学院河南省人机环境与应急管理国际联合实验室, 安阳, 455099

通讯作者: 汪忠来
作者简介:智鹏鹏，男，1989年生，副研究员。研究方向为韧性设计、机电装备结构/疲劳可靠性、不确定性分析与优化。E-mail：zhipeng17@yeah.net
汪忠来^*（通信作者），男，1980年生，教授。研究方向为高可靠性设计、稳健设计、模型验证。E-mail：wzhonglai@uestc.edu.cn。
第一联系人：肖洋轶，男，1989年生，博士、副教授。研究方向为高性能机电传动系统。E-mail：yyxiao@mail.hzau.edu.cn。张诣^*（通信作者），男，1987年生，工程师。研究方向为风洞结构设计与分析。E-mail：zhangyi5266@163.com。
基金资助:
国家自然科学基金(52405255);湖州市科技特派员项目(2023KT76);河南省人机环境与应急管理国际联合实验室（安阳工学院）开放基金(KFKT-02);河南省科技攻关项目(252102220051)

Abstract

Abstract:

To address the accuracy and efficiency challenges in the reliable control of air-fuel ratio for general aviation piston engines（GAPEs）， a reliability analysis method integrating AMESim-PID co-simulation and an adaptive Kriging model was proposed. A parameterized simulation model was established based on the AMESim platform according to the physical models of the intake， exhaust， and combustion systems of the GAPEs. Based on the oxygen excess coefficient a PID control model was presented to improve the accuracy of air-fuel ratio control by adjusting the injection pulse width. The GA-Halton sequence， adjust expected maximum function（AEMF）， and composite convergence criterion were proposed to establish a high-fidelity adaptive Kriging model to improve computational efficiency. A reliability analysis framework for air fuel ratio control was established based on AMESim-PID-Kriging， and the final failure probability was calculated by importance sampling（IS）. The case analysis shows that the proposed method may achieve high-fidelity modeling and accuracy control of the air-fuel ratio reliable control of the GAPEs， and accurately estimate the failure probability with fewer simulation times and solving time.

Key words: piston engine, air-fuel ratio control, PID control, Kriging model, reliability analysis

摘要：

为解决通航活塞发动机空燃比控制可靠性的精度和效率问题，提出一种融合AMESim-PID联合仿真和自适应Kriging模型的可靠性分析方法。依据工作原理推导活塞发动机进气、排气、燃烧系统物理模型，建立基于AMESim平台的参数化仿真模型；建立以过氧量系数为指标的PID控制模型，通过调整喷油脉宽来提高空燃比控制精度；提出GA-Halton序列、修正期望最大函数和复合收敛准则，建立高保真自适应Kriging模型以提高计算效率；搭建基于AMESim-PID-Kriging的空燃比控制可靠性分析框架，并通过重要性抽样计算最终失效概率。算例分析表明，所提方法能够实现通航活塞发动机空燃比高保真建模与精准控制，并以较少的仿真次数和较短的求解时间精确估算失效概率。

关键词: 活塞发动机, 空燃比控制, PID控制, Kriging模型, 可靠性分析

CLC Number:

TH123.1

Pengpeng ZHI, Xueqin LIU, Yi GUAN, Jiang WU, Zhonglai WANG. AMESim-PID-Kriging-based Reliability Analysis Method for Air-fuel Ratio Control of General Aviation Engines[J]. China Mechanical Engineering, 2025, 36(10): 2433-2443.

智鹏鹏, 刘雪琴, 官毅, 吴江, 汪忠来. 基于AMESim-PID-Kriging的通航发动机空燃比控制可靠性分析方法[J]. 中国机械工程, 2025, 36(10): 2433-2443.

Figures/Tables 3

Tab. 1 Comparison of accuracy and efficiency of different methods

方法	$N c a l l$	$P f / 10 - 3$	$β$	$δ / %$
MCS	$106$	4.416	2.6180
AK-IS+AEMF	34	4.5	2.6121	0.22
AK-MCS+U	42	4.5	2.6121	0.22
AK-MCS+EFF	94	4.3	2.6276	0.37
DS	52	4.5	2.6121	0.22
IS+response surface	1375	4.5	2.6121	0.22
IS+spline	428	4.5	2.6121	0.22

Tab. 1 Comparison of accuracy and efficiency of different methods

方法	$N c a l l$	$P f / 10 - 3$	$β$	$δ / %$
MCS	$106$	4.416	2.6180
AK-IS+AEMF	34	4.5	2.6121	0.22
AK-MCS+U	42	4.5	2.6121	0.22
AK-MCS+EFF	94	4.3	2.6276	0.37
DS	52	4.5	2.6121	0.22
IS+response surface	1375	4.5	2.6121	0.22
IS+spline	428	4.5	2.6121	0.22

Tab. 2 Statistical characteristics of random variables

随机变量	均值	分布类型	变异系数
节气门开度	40%	正态分布	0.01
转速	2500 r/min	正态分布	0.02

Tab. 3 Comparison of reliability calculation results of different methods

方法	$N c a l l$	$P f$	$β$	$δ / %$
MCS	10⁴	0.1712	0.9494
AK- MCS+U	204	0.1794	0.9177	3.33
AK- MCS+EFF	211	0.1789	0.9196	3.13
AK-IS+AEMF	42	0.1641	0.9777	2.98

Tab. 3 Comparison of reliability calculation results of different methods

方法	$N c a l l$	$P f$	$β$	$δ / %$
MCS	10⁴	0.1712	0.9494
AK- MCS+U	204	0.1794	0.9177	3.33
AK- MCS+EFF	211	0.1789	0.9196	3.13
AK-IS+AEMF	42	0.1641	0.9777	2.98

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AMESim-PID-Kriging-based Reliability Analysis Method for Air-fuel Ratio Control of General Aviation Engines

基于AMESim-PID-Kriging的通航发动机空燃比控制可靠性分析方法

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