CN113202669B - Multi-objective optimization method for performance of electric control oil injector - Google Patents
Multi-objective optimization method for performance of electric control oil injector Download PDFInfo
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F02—COMBUSTION ENGINES; HOT-GAS OR COMBUSTION-PRODUCT ENGINE PLANTS
- F02M—SUPPLYING COMBUSTION ENGINES IN GENERAL WITH COMBUSTIBLE MIXTURES OR CONSTITUENTS THEREOF
- F02M51/00—Fuel-injection apparatus characterised by being operated electrically
- F02M51/06—Injectors peculiar thereto with means directly operating the valve needle
- F02M51/061—Injectors peculiar thereto with means directly operating the valve needle using electromagnetic operating means
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- F02M—SUPPLYING COMBUSTION ENGINES IN GENERAL WITH COMBUSTIBLE MIXTURES OR CONSTITUENTS THEREOF
- F02M61/00—Fuel-injectors not provided for in groups F02M39/00 - F02M57/00 or F02M67/00
- F02M61/04—Fuel-injectors not provided for in groups F02M39/00 - F02M57/00 or F02M67/00 having valves, e.g. having a plurality of valves in series
- F02M61/10—Other injectors with elongated valve bodies, i.e. of needle-valve type
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- F02—COMBUSTION ENGINES; HOT-GAS OR COMBUSTION-PRODUCT ENGINE PLANTS
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- F02M63/00—Other fuel-injection apparatus having pertinent characteristics not provided for in groups F02M39/00 - F02M57/00 or F02M67/00; Details, component parts, or accessories of fuel-injection apparatus, not provided for in, or of interest apart from, the apparatus of groups F02M39/00 - F02M61/00 or F02M67/00; Combination of fuel pump with other devices, e.g. lubricating oil pump
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- F02M63/0014—Valves characterised by the valve actuating means
- F02M63/0015—Valves characterised by the valve actuating means electrical, e.g. using solenoid
- F02M63/0017—Valves characterised by the valve actuating means electrical, e.g. using solenoid using electromagnetic operating means
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- F02M65/00—Testing fuel-injection apparatus, e.g. testing injection timing ; Cleaning of fuel-injection apparatus
- F02M65/001—Measuring fuel delivery of a fuel injector
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Abstract
本发明的目的在于提供一种电控喷油器性能的多目标优化方法,包括以下步骤:建立电控喷油器数值仿真模型;提出响应特性与喷射特性等性能的评价指标;对电控喷油器各部件特性参数进行显著性分析,确定评价指标的设计变量;对设计变量进行DOE实验设计,仿真获取评价指标的响应值;分别构建响应特性与喷射特性的响应面预测模型;以响应特性与喷射特性最优为优化目标,开展设计变量的多参数优化;提出电控喷油器响应特性与喷射特性的筛选函数,获取电控喷油器性能最佳时所对应的的设计变量取值。本发明能够获取电控喷油器性能的显著影响参数,实现响应特性与喷射特性的准确预测,并能在同时提升响应特性与喷射特性基础上对设计变量开展多目标优化。
The purpose of the present invention is to provide a multi-objective optimization method for the performance of an electronically controlled fuel injector, comprising the following steps: establishing a numerical simulation model of the electronically controlled fuel injector; proposing performance evaluation indicators such as response characteristics and injection characteristics; The characteristic parameters of each component of the oiler are analyzed for significance to determine the design variables of the evaluation indicators; the DOE experimental design of the design variables is carried out, and the response values of the evaluation indicators are obtained through simulation; the response surface prediction models of the response characteristics and injection characteristics are respectively constructed; Taking the optimal injection characteristics as the optimization goal, the multi-parameter optimization of design variables is carried out; the screening function of the response characteristics and injection characteristics of the electronically controlled injector is proposed to obtain the corresponding design variables when the electronically controlled injector has the best performance. . The invention can obtain the significant influencing parameters of the performance of the electronically controlled fuel injector, realize the accurate prediction of the response characteristics and the injection characteristics, and can carry out multi-objective optimization of the design variables on the basis of simultaneously improving the response characteristics and the injection characteristics.
Description
技术领域technical field
本发明涉及的是一种发动机喷油控制方法,具体地说是发动机喷油器性能优化方法。The invention relates to a method for controlling fuel injection of an engine, in particular to a method for optimizing the performance of an engine fuel injector.
背景技术Background technique
电控喷油器作为高压共轨燃油喷射系统中最为复杂关键的部件,其响应特性与喷射特性等性能决定着控制腔建泄压速度、喷油定时和喷油量,并且会对高压共轨燃油喷射系统喷油规律的控制精度造成直接影响,从而决定着柴油机工作性能的优劣。并且由于电控喷油器在工作过程中受到电磁、机械、液力等多物理场的耦合作用,电控喷油器各部件特性参数均会对响应特性与喷射特性等性能造成影响。因此,开展提高电控喷油器响应特性与喷射特性等性能的多目标多参数优化具有重要意义。As the most complex and key component in the high-pressure common rail fuel injection system, the electronically controlled injector's response characteristics and injection characteristics determine the pressure relief speed of the control cavity, the injection timing and the injection quantity, and will affect the high-pressure common rail. The control accuracy of the fuel injection system of the fuel injection system directly affects the performance of the diesel engine. And because the electronically controlled injector is subjected to the coupling effect of electromagnetic, mechanical, hydraulic and other physical fields during the working process, the characteristic parameters of each component of the electronically controlled injector will affect the response characteristics and injection characteristics. Therefore, it is of great significance to carry out multi-objective multi-parameter optimization to improve the response characteristics and injection characteristics of electronically controlled injectors.
由于电控喷油器的各部件特性参数数量繁多,并且各特性参数间可能存在耦合作用,因此通过传统的试验研究进行电控喷油器性能优化,需要消耗大量的人力物力,存在研发周期长等缺点。Due to the large number of characteristic parameters of each component of the electronically controlled injector, and there may be a coupling effect between the characteristic parameters, the performance optimization of the electronically controlled injector through traditional experimental research requires a lot of manpower and material resources, and there is a long development cycle. and other shortcomings.
同时,目前针对电控喷油器结构参数优化主要集中于喷油器流量特性、电磁执行器静动态特性、针阀响应特性等单个元件以及单一特性的优化。这些优化方法虽然能够提升电控喷油器的某一特定特性,但是在提升特定特性的过程中可能会对电控喷油器的其它特性做出牺牲,存在不能全面有效地提高电控喷油器性能等问题。At the same time, at present, the optimization of structural parameters of electronically controlled injectors mainly focuses on the optimization of single components and single characteristics such as injector flow characteristics, electromagnetic actuator static and dynamic characteristics, and needle valve response characteristics. Although these optimization methods can improve a specific characteristic of the electronically controlled injector, other characteristics of the electronically controlled injector may be sacrificed in the process of improving the specific characteristic, and there is a problem that cannot fully and effectively improve the electronically controlled fuel injection. performance issues, etc.
发明内容SUMMARY OF THE INVENTION
本发明的目的在于提供能在同时提升响应特性与喷射特性基础上对电控喷油器结构参数开展多目标优化的一种电控喷油器性能的多目标优化方法。The purpose of the present invention is to provide a multi-objective optimization method for the performance of an electronically-controlled injector, which can carry out multi-objective optimization of the structural parameters of the electronically-controlled injector on the basis of simultaneously improving the response characteristics and the injection characteristics.
本发明的目的是这样实现的:The object of the present invention is achieved in this way:
本发明一种电控喷油器性能的多目标优化方法,其特征是:A multi-objective optimization method for the performance of an electronically controlled fuel injector of the present invention is characterized in that:
(1)建立电控喷油器数值仿真模型;(1) Establish a numerical simulation model of the electronically controlled fuel injector;
(2)提出响应特性与喷射特性等电控喷油器性能的评价指标;(2) The evaluation indexes of electronically controlled injector performance such as response characteristics and injection characteristics are proposed;
(3)对电控喷油器各部件特性参数进行显著性分析,确定评价指标的设计变量;(3) Significantly analyze the characteristic parameters of each component of the electronically controlled injector, and determine the design variables of the evaluation index;
(4)对设计变量进行DOE实验设计,仿真获取评价指标的响应值;(4) Carry out the DOE experimental design for the design variables, and obtain the response value of the evaluation index through simulation;
(5)分别构建响应特性与喷射特性的响应面预测模型,并进行预测模型的有效性评价;(5) Build the response surface prediction models of the response characteristics and injection characteristics respectively, and evaluate the effectiveness of the prediction models;
(6)基于步骤5中的响应面预测模型,以响应特性与喷射特性最优为优化目标,开展设计变量的多参数优化;(6) Based on the response surface prediction model in step 5, taking the optimal response characteristics and injection characteristics as the optimization goal, carry out multi-parameter optimization of design variables;
(7)提出电控喷油器响应特性与喷射特性的筛选函数,获取电控喷油器性能最佳时所对应的设计变量取值。(7) The screening function of the response characteristics and injection characteristics of the electronically controlled injector is proposed to obtain the corresponding design variables when the electronically controlled injector has the best performance.
本发明还可以包括:The present invention can also include:
1、步骤(1)中建立电控喷油器数值仿真模型的过程为:基于功率键合图理论,推导电控喷油器的微分运动方程,搭建电控喷油器数值仿真模型。1. The process of establishing the numerical simulation model of the electronically controlled fuel injector in step (1) is as follows: based on the power bond graph theory, the differential motion equation of the electronically controlled fuel injector is deduced, and the numerical simulation model of the electronically controlled fuel injector is built.
2、步骤(2)中响应特性与喷射特性等性能的评价指标如下:2. The evaluation indexes of the response characteristics and injection characteristics in step (2) are as follows:
响应特性的评价指标为针阀响应TN,针阀响应TN的计算公式如下:The evaluation index of the response characteristic is the needle valve response T N , and the calculation formula of the needle valve response T N is as follows:
其中,TN为针阀响应,TO为喷油器的高速电磁阀通电到针阀开启至最大升程所需时间,TC为喷油器的高速电磁阀断电到针阀关闭至完全所需时间;Among them, T N is the needle valve response, TO is the time required for the high-speed solenoid valve of the injector to be energized until the needle valve opens to the maximum lift, and T C is the power-off of the high-speed solenoid valve of the injector until the needle valve is fully closed. required time;
喷射特性的评价指标为喷油效率η,喷油效率η的计算公式如下:The evaluation index of the injection characteristics is the fuel injection efficiency η, and the calculation formula of the fuel injection efficiency η is as follows:
其中,η为喷油效率,Qcycle为单次循环下喷油器喷入气缸的燃油量,Qin为单次循环下进入喷油器的燃油量,Qleak为单次循环下喷油器的燃油泄漏量,Qback为单次循环下喷油器的回油量。Among them, η is the fuel injection efficiency, Q cycle is the amount of fuel injected by the injector into the cylinder under a single cycle, Q in is the amount of fuel entering the injector under a single cycle, and Q leak is the fuel injector under a single cycle. The amount of fuel leakage, Q back is the fuel return amount of the injector in a single cycle.
3、步骤(3)中进行显著性分析的各部件特性参数如下:3. The characteristic parameters of each component for the significance analysis in step (3) are as follows:
电磁阀特性参数包括:电磁阀质量、电磁阀残余气隙、电磁阀最大升程、电磁阀弹簧预紧力、电磁阀弹簧刚度、电磁阀密封球直径、电磁阀阀孔直径;Solenoid valve characteristic parameters include: solenoid valve mass, solenoid valve residual air gap, solenoid valve maximum lift, solenoid valve spring preload, solenoid valve spring stiffness, solenoid valve sealing ball diameter, solenoid valve valve hole diameter;
控制腔特性参数包括:进油节流孔直径、回油节流孔直径、控制腔容积;The characteristic parameters of the control chamber include: the diameter of the oil inlet orifice, the diameter of the oil return orifice, and the volume of the control chamber;
针阀特性参数包括:针阀组件质量、针阀最大升程、针阀弹簧预紧力、针阀弹簧刚度、盛油槽容积、针阀腔容积、喷孔直径。The needle valve characteristic parameters include: needle valve assembly mass, needle valve maximum lift, needle valve spring preload, needle valve spring stiffness, oil holding tank volume, needle valve cavity volume, and nozzle hole diameter.
4、步骤(3)中确定评价指标的设计变量的具体步骤如下:4. The specific steps for determining the design variables of the evaluation index in step (3) are as follows:
对各部件特性参数分别计算影响因子,再分别求出各部件特性参数计算影响因子占总值的百分比,从而确定评价指标的设计变量。其中影响因子的计算公式如下:Calculate the influence factor for each component characteristic parameter, and then calculate the percentage of each component characteristic parameter calculation influence factor to the total value, so as to determine the design variables of the evaluation index. The formula for calculating the impact factor is as follows:
其中,σx为特性参数x的影响因子,TN_max、TN_min、Tmed分别为特性参数x取值变化时针阀响应的最大值、最小值与基准值,ηmax、ηmin、ηmed分别为特性参数x取值变化时喷油效率的最大值、最小值与基准值,xmax、xmin、xmed分别为特性参数x取值的最大值、最小值与基准值。Among them, σ x is the influence factor of the characteristic parameter x, T N_max , T N_min , T med are the maximum, minimum and reference value of the needle valve response when the value of the characteristic parameter x changes, η max , η min , η med respectively are the maximum value, minimum value and reference value of the fuel injection efficiency when the value of the characteristic parameter x changes, and x max , x min , and x med are the maximum value, the minimum value and the reference value of the value of the characteristic parameter x, respectively.
5、步骤(4)具体为:采用D-最优实验设计方法对设计变量进行DOE方案设计,将所得到的设计变量DOE设计方案分别代入电控喷油器数值仿真模型中,对针阀响应TN与喷油效率η进行计算求解。5. Step (4) is specifically as follows: using the D-optimal experimental design method to design the DOE scheme for the design variables, and substituting the obtained DOE design schemes for the design variables into the numerical simulation model of the electronically controlled injector, respectively, to respond to the needle valve. T N and fuel injection efficiency η are calculated and solved.
6、步骤(5)具体为:基于步骤(4)的DOE实验设计结果,采用二次多项式响应面模型进行针阀响应TN与喷油效率η的预测模型构建,运用最小二乘法回归方法对二次多项式响应面预测模型的未知系数进行求解,使用可决系数和校正可决系数作为预测模型有效性的度量指标;6. Step (5) is as follows: based on the DOE experimental design results in step (4), a quadratic polynomial response surface model is used to construct a prediction model for the needle valve response TN and fuel injection efficiency η, and the least squares regression method is used to analyze the results. The unknown coefficients of the quadratic polynomial response surface prediction model are solved, and the coefficient of determination and the corrected coefficient of determination are used as a measure of the effectiveness of the prediction model;
二次多项式响应面预测模型计算公式如下:The calculation formula of the quadratic polynomial response surface prediction model is as follows:
式中,xi为设计变量x的第i个分量,α0为常数,αi为线性系数,αii为二次系数,aij为交互作用系数。In the formula, x i is the ith component of the design variable x, α 0 is a constant, α i is a linear coefficient, α ii is a quadratic coefficient, and a ij is an interaction coefficient.
7、步骤(6)具体为:以针阀响应TN最小、喷油效率η最大为优化目标,以设计变量的取值范围为约束,基于步骤(5)中构建的针阀响应TN与喷油效率η的预测模型,使用遗传算法计算得到满足所有约束条件的Pareto解集。7. Step (6) is as follows: taking the minimum needle valve response T N and the maximum fuel injection efficiency η as the optimization goal, and taking the value range of the design variable as the constraint, based on the needle valve response T N constructed in step (5) and For the prediction model of fuel injection efficiency η, the Pareto solution set that satisfies all constraints is calculated by using genetic algorithm.
8、步骤(7)中电控喷油器响应特性与喷射特性的筛选函数计算公式如下:8. The calculation formula of the screening function of the response characteristics and injection characteristics of the electronically controlled injector in step (7) is as follows:
式中,F(X)为筛选函数,X为设计变量组合;In the formula, F(X) is the screening function, and X is the design variable combination;
令筛选函数F(X)最小,得到电控喷油器多目标优化设计变量组合X的最优解。The filter function F(X) is minimized, and the optimal solution of the multi-objective optimization design variable combination X of the electronically controlled injector is obtained.
9、将步骤(7)中所得到的电控喷油器性能最优下的设计变量组合代入步骤(1)中的电控喷油器数值仿真模型,对针阀响应TN与喷油效率η进行计算,并将计算结果与针阀响应基准值TN_med与喷油效率ηmed进行对比。9. Substitute the design variable combination under the optimal performance of the electronically controlled injector obtained in step (7) into the numerical simulation model of the electronically controlled injector in step (1), and analyze the needle valve response T N and the fuel injection efficiency η is calculated, and the calculation result is compared with the needle valve response reference value T N_med and the fuel injection efficiency η med .
本发明的优势在于:The advantages of the present invention are:
1、本发明提出了电控喷油器响应特性与喷射特性的评价指标,对各部件特性参数进行显著性分析,得到对评价指标影响显著的特性参数,从而确定了评价指标的设计变量;1. The present invention proposes the evaluation index of the response characteristic and injection characteristic of the electronically controlled fuel injector, carries out a significant analysis on the characteristic parameters of each component, and obtains the characteristic parameters that have a significant impact on the evaluation index, thereby determining the design variable of the evaluation index;
2、本发明对设计变量进行DOE实验设计,构建响应特性与喷射特性的响应面预测模型,并对预测模型的有效性进行评价,保证了响应特性与喷射特性的准确预测,解决了传统的试验研究需要大量的人力物力消耗,研发周期长等缺点;2. The present invention conducts DOE experimental design for design variables, constructs a response surface prediction model of response characteristics and injection characteristics, and evaluates the validity of the prediction model, which ensures the accurate prediction of response characteristics and injection characteristics, and solves the problem of traditional experiments. Research requires a lot of manpower and material resources, and the research and development cycle is long;
3、本发明以响应特性与喷射特性最优为优化目标,以设计变量的取值范围为约束,基于遗传算法开展电控喷油器性能的多目标优化,解决了目前优化方法对电控喷油器性能优化不全面、不高效等问题。3. The invention takes the optimal response characteristics and injection characteristics as the optimization goal, and takes the value range of the design variables as constraints, and carries out multi-objective optimization of the performance of the electronically controlled injector based on the genetic algorithm, which solves the problem of the current optimization method for electronically controlled injection. Oiler performance optimization is not comprehensive, not efficient and so on.
附图说明Description of drawings
图1为本发明的流程图;Fig. 1 is the flow chart of the present invention;
图2为各部件特性参数显著性分析结果;Figure 2 shows the results of the significant analysis of the characteristic parameters of each component;
图3为针阀响应的二次多项式响应面模型预测值与仿真值对比图;Fig. 3 is a graph showing the comparison between the predicted value and the simulated value of the quadratic polynomial response surface model of the needle valve response;
图4为喷油效率的二次多项式响应面模型预测值与仿真值对比图;Fig. 4 is a graph showing the comparison between the predicted value and the simulated value of the quadratic polynomial response surface model of the fuel injection efficiency;
图5为喷油器性能多目标优化的Pareto解集;Figure 5 shows the Pareto solution set for multi-objective optimization of injector performance;
图6为喷油器性能的优化前后对比结果。Figure 6 shows the comparison results before and after the optimization of the injector performance.
具体实施方式Detailed ways
下面结合附图举例对本发明做更详细地描述:The present invention will be described in more detail below in conjunction with the accompanying drawings:
结合图1-6,本发明一种电控喷油器性能的多目标优化方法,包括以下步骤:1-6, a multi-objective optimization method for the performance of an electronically controlled fuel injector of the present invention includes the following steps:
步骤1,建立电控喷油器数值仿真模型并验证其准确性;Step 1, establish a numerical simulation model of the electronically controlled fuel injector and verify its accuracy;
具体的,基于功率键合图理论,推导电控喷油器的微分运动方程,搭建电控喷油器数值仿真模型,并对模型准确性进行验证。Specifically, based on the power bond graph theory, the differential motion equation of the electronically controlled fuel injector is derived, the numerical simulation model of the electronically controlled fuel injector is built, and the accuracy of the model is verified.
步骤2,提出响应特性与喷射特性等电控喷油器性能的评价指标;Step 2, put forward the evaluation indicators of the electronically controlled injector performance such as response characteristics and injection characteristics;
具体的,响应特性的评价指标为针阀响应TN。针阀响应TN的计算公式如下:Specifically, the evaluation index of the response characteristic is the needle valve response T N . The formula for calculating the needle valve response T N is as follows:
其中,TN为针阀响应,TO为喷油器的高速电磁阀通电到针阀开启至最大升程所需时间,TC为喷油器的高速电磁阀断电到针阀关闭至完全所需时间。Among them, T N is the response of the needle valve, TO is the time required for the high-speed solenoid valve of the injector to be energized until the needle valve opens to the maximum lift, and T C is the power-off of the high-speed solenoid valve of the injector until the needle valve is fully closed. required time.
喷射特性的评价指标为喷油效率η。喷油效率η的计算公式如下:The evaluation index of the injection characteristics is the injection efficiency η. The calculation formula of fuel injection efficiency η is as follows:
其中,η为喷油效率,Qcycle为单次循环下喷油器喷入气缸的燃油量;Qin为单次循环下进入喷油器的燃油量;Qleak为单次循环下喷油器的燃油泄漏量;Qback为单次循环下喷油器的回油量。Among them, η is the fuel injection efficiency, Q cycle is the amount of fuel injected by the injector into the cylinder under a single cycle; Q in is the amount of fuel entering the injector under a single cycle; Q leak is the fuel injector under a single cycle. The amount of fuel leakage; Q back is the fuel return amount of the injector in a single cycle.
步骤3,对电控喷油器各部件特性参数进行显著性分析,确定评价指标的设计变量;Step 3, carry out a significant analysis on the characteristic parameters of each component of the electronically controlled fuel injector, and determine the design variables of the evaluation index;
具体的,进行显著性分析的各部件特性参数如下:Specifically, the characteristic parameters of each component for significance analysis are as follows:
电磁阀特性参数包括:电磁阀质量、电磁阀残余气隙、电磁阀最大升程、电磁阀弹簧预紧力、电磁阀弹簧刚度、电磁阀密封球直径、电磁阀阀孔直径;Solenoid valve characteristic parameters include: solenoid valve mass, solenoid valve residual air gap, solenoid valve maximum lift, solenoid valve spring preload, solenoid valve spring stiffness, solenoid valve sealing ball diameter, solenoid valve valve hole diameter;
控制腔特性参数包括:进油节流孔直径、回油节流孔直径、控制腔容积;The characteristic parameters of the control chamber include: the diameter of the oil inlet orifice, the diameter of the oil return orifice, and the volume of the control chamber;
针阀特性参数包括:针阀组件质量、针阀最大升程、针阀弹簧预紧力、针阀弹簧刚度、盛油槽容积、针阀腔容积、喷孔直径。The needle valve characteristic parameters include: needle valve assembly mass, needle valve maximum lift, needle valve spring preload, needle valve spring stiffness, oil holding tank volume, needle valve cavity volume, and nozzle hole diameter.
确定评价指标的设计变量的具体步骤如下:The specific steps to determine the design variables of the evaluation index are as follows:
对各部件特性参数分别计算影响因子,再分别求出各部件特性参数计算影响因子占总值的百分比,从而确定评价指标的设计变量。其中影响因子的计算公式如下:Calculate the influence factor for each component characteristic parameter, and then calculate the percentage of each component characteristic parameter calculation influence factor to the total value, so as to determine the design variables of the evaluation index. The formula for calculating the impact factor is as follows:
其中,σx为特性参数x的影响因子,TN_max、TN_min、Tmed分别为特性参数x取值变化时针阀响应的最大值、最小值与基准值,ηmax、ηmin、ηmed分别为特性参数x取值变化时喷油效率的最大值、最小值与基准值,xmax、xmin、xmed分别为特性参数x取值的最大值、最小值与基准值。Among them, σ x is the influence factor of the characteristic parameter x, T N_max , T N_min , T med are the maximum, minimum and reference value of the needle valve response when the value of the characteristic parameter x changes, η max , η min , η med respectively are the maximum value, minimum value and reference value of the fuel injection efficiency when the value of the characteristic parameter x changes, and x max , x min , and x med are the maximum value, the minimum value and the reference value of the value of the characteristic parameter x, respectively.
根据图2所示的各部件特性参数显著性分析结果,确定评价指标的设计变量为电磁阀密封球直径、进油节流孔直径、回油节流孔直径、针阀最大升程与喷孔直径。According to the significant analysis results of the characteristic parameters of each component shown in Figure 2, the design variables for the evaluation indicators are determined as the diameter of the solenoid valve sealing ball, the diameter of the oil inlet orifice, the diameter of the oil return orifice, the maximum lift of the needle valve and the nozzle hole. diameter.
步骤4,对设计变量进行DOE实验设计,仿真获取评价指标的响应值;Step 4, carry out the DOE experimental design on the design variables, and obtain the response value of the evaluation index through simulation;
具体的,采用D-最优实验设计方法对设计变量进行DOE方案设计,将所得到的设计变量DOE设计方案分别代入电控喷油器数值仿真模型中,对针阀响应TN与喷油效率η进行计算求解。Specifically, the D-optimal experimental design method is used to design the DOE scheme for the design variables, and the obtained DOE design schemes of the design variables are respectively substituted into the numerical simulation model of the electronically controlled injector, and the needle valve response TN and the fuel injection efficiency are analyzed. η is calculated and solved.
步骤5,分别构建响应特性与喷射特性的响应面预测模型,并进行预测模型的有效性评价;Step 5: Build the response surface prediction model of the response characteristic and the injection characteristic respectively, and evaluate the validity of the prediction model;
具体的,基于步骤4的DOE实验设计结果,采用二次多项式响应面模型进行针阀响应TN与喷油效率η的预测模型构建。运用最小二乘法回归方法对二次多项式响应面预测模型的未知系数进行求解。根据图3、图4所示的针阀响应TN与喷油效率η的二次多项式响应面模型预测值与仿真值对比图可知,可决系数和校正可决系数均接近1,表明预测模型预测能力越好。Specifically, based on the DOE experimental design results in step 4, a quadratic polynomial response surface model is used to construct a prediction model for the needle valve response TN and the fuel injection efficiency η. The unknown coefficients of the quadratic polynomial response surface prediction model are solved by using the least squares regression method. According to the comparison between the predicted value of the quadratic polynomial response surface model of the needle valve response TN and the fuel injection efficiency η shown in Figure 3 and Figure 4 and the simulation value, it can be seen that the coefficient of determination and the corrected coefficient of determination are both close to 1, indicating that the prediction model The better the prediction ability.
步骤6,基于步骤5中的响应面预测模型,以响应特性与喷射特性最优为优化目标,开展设计变量的多参数优化;Step 6, based on the response surface prediction model in Step 5, take the optimal response characteristics and injection characteristics as the optimization goal, and carry out multi-parameter optimization of design variables;
具体的,以针阀响应TN最小、喷油效率η最大为优化目标,以设计变量的取值范围为约束,基于步骤5中构建的针阀响应TN与喷油效率η的预测模型,使用遗传算法计算得到如图5所示的Pareto解集。Specifically, taking the minimum needle valve response T N and the maximum fuel injection efficiency η as the optimization goals, and taking the value range of the design variables as constraints, based on the prediction model of the needle valve response T N and the fuel injection efficiency η constructed in step 5, The Pareto solution set shown in Figure 5 is obtained by using the genetic algorithm.
步骤7,提出电控喷油器响应特性与喷射特性的筛选函数,获取电控喷油器性能最佳时所对应的的设计变量取值;Step 7, propose a screening function for the response characteristics and injection characteristics of the electronically controlled injector, and obtain the design variable values corresponding to the optimal performance of the electronically controlled injector;
具体的,电控喷油器响应特性与喷射特性的筛选函数计算公式如下:Specifically, the calculation formula of the screening function of the response characteristics and injection characteristics of the electronically controlled injector is as follows:
式中,F(X)为筛选函数,X为设计变量组合。In the formula, F(X) is the screening function, and X is the design variable combination.
令筛选函数F(X)最小,得到电控喷油器多目标优化设计变量组合X的最优解:电磁阀密封球直径、进油节流孔直径、回油节流孔直径、针阀最大升程与喷孔直径分别为1.600mm、0.233mm、0.280mm、0.200mm、0.160mm。By minimizing the screening function F(X), the optimal solution of the multi-objective optimal design variable combination X of the electronically controlled injector is obtained: the diameter of the solenoid valve sealing ball, the diameter of the oil inlet orifice, the diameter of the oil return orifice, the maximum needle valve diameter The lift and nozzle diameter are 1.600mm, 0.233mm, 0.280mm, 0.200mm, and 0.160mm, respectively.
步骤8,基于步骤1中的电控喷油器数值仿真模型,对优化前后结果进行对比。Step 8, based on the numerical simulation model of the electronically controlled injector in Step 1, compare the results before and after the optimization.
将步骤7中所得到的电控喷油器性能最优下的设计变量组合代入步骤1中的电控喷油器数值仿真模型,对针阀响应TN与喷油效率η进行计算,并将计算结果与针阀响应基准值TN_med与喷油效率ηmed进行对比。由图6所示对比结果可知,针阀响应TN由0.898ms减少至0.764ms,响应速度提升了14.86%;喷油效率η由75.849%增加至76.997%,喷油效率提升了1.51%。Substitute the design variable combination under the optimal performance of the electronically controlled injector obtained in step 7 into the numerical simulation model of the electronically controlled injector in step 1, calculate the needle valve response T N and the fuel injection efficiency η, and use The calculation results are compared with the needle valve response reference value T N_med and the injection efficiency η med . From the comparison results shown in Figure 6, it can be seen that the needle valve response TN is reduced from 0.898ms to 0.764ms, and the response speed is increased by 14.86%; the fuel injection efficiency η is increased from 75.849% to 76.997%, and the fuel injection efficiency is increased by 1.51%.
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