CN113221432B - A dynamic prediction method for ion thruster grid life based on artificial intelligence - Google Patents
A dynamic prediction method for ion thruster grid life based on artificial intelligence Download PDFInfo
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Abstract
本发明公开了一种基于人工智能的离子推力器栅极寿命动态预测方法。首先利用栅极三维数值仿真模型对离子推力器栅极系统多个典型工况条件进行仿真分析,然后根据仿真结果建立不同参数条件下的数据库,最后利用数据库对神经网络进行训练形成栅极多参数与栅极壁面腐蚀速率的映射。利用这一映射可根据栅极工况参数变化实时预估栅极寿命变化。该方法较现有的基于单一工况预估栅极寿命方法更符合实际情况,因而更为可靠合理,且解决了多工况多参数仿真计算量过大的问题。最终可满足卫星等航天器对离子推力器宽范围变推力下的寿命预估需求。
The present invention discloses a method for dynamically predicting the life of an ion thruster gate based on artificial intelligence. First, a three-dimensional numerical simulation model of the gate is used to simulate and analyze multiple typical operating conditions of the ion thruster gate system, and then a database under different parameter conditions is established based on the simulation results. Finally, the database is used to train a neural network to form a mapping between multiple gate parameters and gate wall corrosion rate. This mapping can be used to predict the change in gate life in real time according to the change in gate operating parameters. This method is more in line with the actual situation than the existing method of estimating the gate life based on a single operating condition, and is therefore more reliable and reasonable, and solves the problem of excessive calculation of multi-operating condition and multi-parameter simulation. Ultimately, it can meet the life estimation needs of satellites and other spacecraft for ion thrusters under a wide range of variable thrust.
Description
技术领域Technical Field
本发明属于离子推力器技术领域,涉及一种基于人工智能的离子推力器栅极寿命动态预测方法。The invention belongs to the technical field of ion thrusters and relates to a method for dynamically predicting the life of an ion thruster grid based on artificial intelligence.
背景技术Background Art
为满足卫星对宽范围变推力的需求,离子推力器栅极系统实际运行时需要工作在多模式实时切换情况。此时,栅极系统参数,如上游等离子体密度、孔径、电压等参数,也随之实时变化。因此,使用传统的固定工况仿真预估栅极寿命的方法与实际工况相比会产生很大误差。另一方面,栅极多模式切换引起的参数实时动态变化对栅极系统的数值模拟提出了巨大挑战。In order to meet the satellite's demand for a wide range of variable thrust, the ion thruster grid system needs to work in a multi-mode real-time switching state during actual operation. At this time, the grid system parameters, such as upstream plasma density, aperture, voltage and other parameters, also change in real time. Therefore, the traditional method of estimating the grid life using fixed operating condition simulation will produce a large error compared to the actual operating conditions. On the other hand, the real-time dynamic changes in parameters caused by the multi-mode switching of the grid pose a huge challenge to the numerical simulation of the grid system.
根据加速栅极是否有直接截获电流可将栅极的运行状态大致分为过聚焦、正常聚焦和欠聚焦。每种运行状态所需的仿真网格差别极大,通常随上游等离子体密度成倍增加。因此,若通过单个算例直接模拟栅极实际的多模式运行过程,以现有的计算机能力无法实现。针对此类问题,目前常用的思路是迭代校正,即先基于一组初始参数计算栅极运行至稳态,然后根据初始参数稳态结果校正栅极参数,然后再在校正后的参数下继续仿真计算,直至迭代总时长等于栅极实际运行时长。但是,这一思路仍然满足计算量过大的问题。尽管这种方法下单个算例满足计算机计算能力要求,但完成整个迭代的计算量太大。Depending on whether the acceleration gate has direct current interception, the operation state of the gate can be roughly divided into over-focusing, normal focusing and under-focusing. The simulation grids required for each operation state are very different, and usually increase exponentially with the upstream plasma density. Therefore, if a single example is used to directly simulate the actual multi-mode operation process of the gate, it cannot be achieved with the existing computer capabilities. For such problems, the commonly used idea is iterative correction, that is, first calculate the gate operation to a steady state based on a set of initial parameters, then correct the gate parameters according to the steady-state results of the initial parameters, and then continue the simulation calculation under the corrected parameters until the total iteration time is equal to the actual operation time of the gate. However, this idea still meets the problem of excessive computational complexity. Although a single example meets the computer computing power requirements under this method, the amount of computation required to complete the entire iteration is too large.
因此,在迭代计算部分代表性工况的基础上,可以考虑直接计算栅极代表性工况,然后基于代表性工况结果拟合出不同栅极参数与栅极寿命之间的函数关系。然而,栅极参数与栅极寿命之间为高度非线性关系,且栅极参数众多,常用的线性拟合或多项式拟合很难找到合适的拟合系数。与此同时,时下兴起的人工智能方法是一种特别适合寻找多参数、非线性函数的手段。Therefore, based on the iterative calculation of some representative working conditions, we can consider directly calculating the representative working conditions of the gate, and then fitting the functional relationship between different gate parameters and gate life based on the representative working condition results. However, the relationship between gate parameters and gate life is highly nonlinear, and there are many gate parameters. It is difficult to find suitable fitting coefficients using commonly used linear fitting or polynomial fitting. At the same time, the emerging artificial intelligence method is a means that is particularly suitable for finding multi-parameter, nonlinear functions.
发明内容Summary of the invention
本发明为了克服现有技术中存在的不足,解决离子推力器栅极寿命动态预测问题。本发明提出结合栅极仿真模型和人工智能方法建立栅极寿命动态预估模型。其具体思路为:首先,利用已有的栅极仿真模型,对代表性工况进行仿真模拟,得到代表性工况的仿真结果。然后,利用所有代表性工况的仿真结果形成数据库,并用该数据库训练神经网络,得到栅极参数与栅极腐蚀速率(即栅极寿命)的函数关系。最后,利用训练好的神经网络预测任意工况组合下的栅极寿命。In order to overcome the deficiencies in the prior art, the present invention solves the problem of dynamic prediction of the gate life of an ion thruster. The present invention proposes to establish a dynamic prediction model of gate life by combining a gate simulation model and an artificial intelligence method. The specific idea is: first, using the existing gate simulation model, simulate representative working conditions to obtain simulation results of representative working conditions. Then, a database is formed using the simulation results of all representative working conditions, and a neural network is trained using the database to obtain a functional relationship between gate parameters and gate corrosion rate (i.e., gate life). Finally, the trained neural network is used to predict the gate life under any combination of working conditions.
本发明的技术方案是:一种基于人工智能的离子推力器栅极寿命动态预测方法,The technical solution of the present invention is: a method for dynamically predicting the life of an ion thruster grid based on artificial intelligence,
首先,建立基于宏粒子-蒙特卡洛碰撞(PIC-MCC)算法的栅极仿真程序。其次,建立求解栅极腐蚀速率的后处理程序,求解栅极端面和孔壁的腐蚀速率分布和平均腐蚀速率。再次,由各典型工况参数以及失效极限参数及其对应栅极壁面腐蚀速率形成数据库。然后,建立基于BP神经网络算法的神经网络模型,利用已建立的数据库训练神经网络,训练完成的神经网络可建立分工况多参数映射。再然后,针对单一模式工作栅极,可以通过反复调用映射,不断修正PIC-MCC模型的输入参数来得到最终时刻的输入参数,进而再仿真计算得到栅极寿命末期性能参数同时给出栅极寿命。最后,多模式磨损刻蚀预估中,通过不同模式采用不同的映射进行迭代实现模式切换,同时通过在整个迭代过程中添加栅极失效判据得到栅极最终寿命。First, a gate simulation program based on the macro particle-Monte Carlo collision (PIC-MCC) algorithm is established. Secondly, a post-processing program for solving the gate corrosion rate is established to solve the corrosion rate distribution and average corrosion rate of the gate end face and the hole wall. Thirdly, a database is formed by each typical operating condition parameter, the failure limit parameter and its corresponding gate wall corrosion rate. Then, a neural network model based on the BP neural network algorithm is established, and the neural network is trained using the established database. The trained neural network can establish a multi-parameter mapping for different operating conditions. Then, for a single-mode working gate, the input parameters of the PIC-MCC model can be repeatedly called to continuously correct the input parameters of the PIC-MCC model to obtain the input parameters at the final moment, and then the gate life performance parameters at the end of the life are obtained by simulation calculation and the gate life is given. Finally, in the multi-mode wear etching prediction, different mappings are used in different modes to iterate to achieve mode switching, and the final life of the gate is obtained by adding gate failure criteria during the entire iterative process.
其特征在于包括下列步骤:It is characterized by comprising the following steps:
步骤1,建立基于宏粒子-蒙特卡洛碰撞算法的栅极仿真模型;Step 1, establishing a gate simulation model based on a macro particle-Monte Carlo collision algorithm;
步骤2,建立求解栅极腐蚀速率的后处理模型,求解栅极端面和孔壁的腐蚀速率分布和平均腐蚀速率;Step 2, establishing a post-processing model for solving the gate corrosion rate, solving the corrosion rate distribution and average corrosion rate of the gate end surface and the hole wall;
步骤3,由各典型工况参数以及失效极限参数及其对应栅极壁面腐蚀速率形成数据库;Step 3, forming a database from typical operating parameters, failure limit parameters and their corresponding gate wall corrosion rates;
步骤4,建立基于BP神经网络算法的神经网络模型,利用步骤3已建立的数据库训练神经网络,训练完成的神经网络建立分工况多参数映射;Step 4, establishing a neural network model based on the BP neural network algorithm, using the database established in step 3 to train the neural network, and establishing multi-parameter mapping for different working conditions with the trained neural network;
步骤5,针对单一模式工作栅极,通过反复调用映射,不断修正基于宏粒子-蒙特卡洛碰撞模型的输入参数得到最终时刻的输入参数,进而再仿真计算得到栅极寿命末期性能参数同时给出栅极寿命;Step 5: For the single-mode working gate, the input parameters based on the macro-particle-Monte Carlo collision model are continuously corrected by repeatedly calling the mapping to obtain the input parameters at the final moment, and then the gate life performance parameters at the end of the life are obtained by simulation calculation and the gate life is given;
步骤6,多模式磨损刻蚀预估中,通过不同模式采用不同的映射进行迭代实现模式切换,同时通过在整个迭代过程中添加栅极失效判据得到栅极最终寿命。Step 6, in the multi-mode wear etching prediction, different mappings are used to iterate through different modes to achieve mode switching, and the final gate life is obtained by adding gate failure criteria in the entire iterative process.
本发明与现有技术相比的有益效果是:The beneficial effects of the present invention compared with the prior art are:
在该算法中,在迭代计算部分代表性工况的基础上,采用时下兴起的人工智能方法获得栅极多参数与栅极壁面腐蚀速率间的非线性函数。解决了栅极多模式、多工况、多参数模拟计算量巨大的问题,同时大幅提高了多模式栅极寿命预估的准确性,而且可实时预估任意时刻、任意工况下或任意工况组合下的栅极寿命。本模拟方法经过评估和验证后,认为该算法能有效对离子推力器栅极寿命径向动态预测,且与实验结果对比后,计算精度良好,对推力器栅极设计初期的性能验证,以及对推力器后期参数优化,实验参数调节的方向和设计范围具有重要指导性意义。该设计方法适用于离子推力器栅极系统前期设计和后期实验指导。In this algorithm, on the basis of iterative calculation of some representative working conditions, the currently emerging artificial intelligence method is used to obtain the nonlinear function between the multi-parameters of the gate and the corrosion rate of the gate wall. The problem of huge computational complexity of multi-mode, multi-condition and multi-parameter simulation of the gate is solved, while the accuracy of multi-mode gate life estimation is greatly improved, and the gate life at any time, under any working condition or any combination of working conditions can be estimated in real time. After evaluation and verification, this simulation method is considered to be effective in radial dynamic prediction of the life of the ion thruster gate, and after comparison with the experimental results, the calculation accuracy is good, which has important guiding significance for the performance verification of the thruster gate in the early stage of design, as well as the optimization of thruster parameters in the later stage, the direction of experimental parameter adjustment and the design range. This design method is suitable for the early design of the ion thruster gate system and the later experimental guidance.
附图说明BRIEF DESCRIPTION OF THE DRAWINGS
图1是PIC-MCC算法流程图。Figure 1 is a flow chart of the PIC-MCC algorithm.
图2是BP神经网络算法流程。Figure 2 is the BP neural network algorithm flow.
图3是利用神经网络找到映射f示意图。FIG. 3 is a schematic diagram of finding the mapping f using a neural network.
图4是利用映射f进行迭代示意图。FIG. 4 is a schematic diagram of iteration using the mapping f.
图5是模式切换仿真方案示意图。FIG. 5 is a schematic diagram of a mode switching simulation scheme.
图6是在迭代过程中添加失效判据示意图。FIG. 6 is a schematic diagram of adding failure criteria during the iteration process.
具体实施方式DETAILED DESCRIPTION
本发明是一种基于人工智能的离子推力器栅极寿命动态预测方法。本发明的主要目标为针对多模式离子推力器栅极磨损寿命仿真分析,形成一套可以动态预估多模式离子推力器栅极寿命的仿真工具。栅极实际工作过程中,上游等离子体密度、中性原子密度、栅极电压、孔径、孔间距、栅极厚度及栅极间距均处于动态变化。且每种工作模式下,栅极可能处于完全不同的工况。从数值模拟角度看,其实质是一个反馈修正过程,即通过一种反馈修正校核栅极输入参数以准确实时反映栅极运行状态。因此,针对上述问题本发明的思路为基于神经网络算法动态反馈迭代修正栅极磨损预估模型。为得到可反应任意参数下的栅极腐蚀速率,需对神经网络进行训练。因此,首先利用栅极程序仿真得到少数样本,组建数据库;然后将数据库导入神经网络系统,训练神经网络;最后训练完的神经网络即为映射。针对单一模式情况,可利用数值模拟产生少数样本,进而通过训练神经网络找到映射;再通过反复调用映射,不断修正输入参数,得到最终时刻的输入参数,再进行仿真计算。对于多模式切,则首先得到不同模式的映射,然后针对不同模式采用不同的映射进行迭代。对于寿命预估动态模型,可以通过在整个迭代过程中添加栅极失效判据进行解决。The present invention is a dynamic prediction method for the life of an ion thruster grid based on artificial intelligence. The main goal of the present invention is to simulate and analyze the wear life of a multi-mode ion thruster grid, and form a set of simulation tools that can dynamically predict the life of a multi-mode ion thruster grid. In the actual working process of the grid, the upstream plasma density, neutral atom density, grid voltage, aperture, hole spacing, grid thickness and grid spacing are all in dynamic change. And in each working mode, the grid may be in completely different working conditions. From the perspective of numerical simulation, its essence is a feedback correction process, that is, a feedback correction is used to check the grid input parameters to accurately and real-time reflect the grid operation state. Therefore, in view of the above problem, the idea of the present invention is to iteratively correct the grid wear prediction model based on the dynamic feedback of the neural network algorithm. In order to obtain the grid corrosion rate that can reflect any parameter, the neural network needs to be trained. Therefore, firstly, a few samples are obtained by grid program simulation, and a database is established; then the database is imported into the neural network system to train the neural network; finally, the trained neural network is the mapping. For a single mode, a few samples can be generated by numerical simulation, and then the mapping can be found by training the neural network; then the mapping is repeatedly called, the input parameters are continuously corrected, the input parameters at the final moment are obtained, and then the simulation calculation is performed. For multi-mode cutting, we first obtain the mapping of different modes, and then iterate using different mappings for different modes. For the dynamic model of life prediction, we can solve it by adding gate failure criteria in the entire iterative process.
实施步骤如下:The implementation steps are as follows:
(1)首先如图1所示,建立基于宏粒子-蒙特卡洛碰撞(PIC-MCC)算法的栅极仿真模型。这套模型包含两部分:模拟离子束流在光学系统中运动的模型,模拟生成电荷交换(CEX)离子的模型。第一部分程序用来模拟束流离子的引出过程,在这过程中离子之间发生的碰撞很少,可以不用考虑,当离子总数达到稳定时模拟仿真结束。模拟过程中,二价离子与一价离子比例按如下公式计算:(1) First, as shown in Figure 1, a gate simulation model based on the macroparticle-Monte Carlo collision (PIC-MCC) algorithm is established. This model consists of two parts: a model that simulates the movement of ion beams in the optical system and a model that simulates the generation of charge exchange (CEX) ions. The first part of the program is used to simulate the extraction process of beam ions. During this process, there are very few collisions between ions, which can be ignored. The simulation ends when the total number of ions reaches a stable state. During the simulation, the ratio of divalent ions to monovalent ions is calculated according to the following formula:
式中,分别为二价离子和一价离子密度;Id,Ib分别为放电电流和束流;v0,vi分别为原子和离子速度;Ta,ηc分别为原子的栅极透过率和克劳因系数;σ++,σ+分别为二价离子电离碰撞截面和一价离子电离碰撞截面;γ为电离率。另外,中性原子不带电,因此中性原子的分布对模拟区域内的电场不会产生影响。本实施例假设中性原子在计算区域中均匀分布。第二部分模型用于模拟CEX离子分布。由于CEX离子数量相对束流离子是一个很小的量,可以认为CEX离子密度对总体电势分布不产生影响。利用束流离子分布和中性原子分布来模拟仿真区域内电荷交换离子的产生及运动。在栅极最初工作的几百个小时中,可以认为加速栅极壁面和孔壁的腐蚀量是一个小量,腐蚀过程对总体的电势分布不产生影响。腐蚀深度计算模型主要利用束流离子和CEX离子的相关物理量计算加速栅极孔壁及下游表面的腐蚀大小。In the formula, are the divalent ion and monovalent ion densities, respectively; I d , I b are the discharge current and beam current, respectively; v 0 , vi are the atomic and ion velocities, respectively; T a , η c are the gate transmittance and Clauin coefficient of the atom, respectively; σ ++ , σ + are the divalent ion ionization collision cross section and the monovalent ion ionization collision cross section, respectively; γ is the ionization rate. In addition, neutral atoms are uncharged, so the distribution of neutral atoms will not affect the electric field in the simulation area. This embodiment assumes that neutral atoms are uniformly distributed in the calculation area. The second part of the model is used to simulate the CEX ion distribution. Since the number of CEX ions is a very small amount relative to the beam ions, it can be considered that the CEX ion density has no effect on the overall potential distribution. The beam ion distribution and the neutral atom distribution are used to simulate the generation and movement of charge exchange ions in the simulation area. In the first few hundred hours of the gate working, it can be considered that the amount of corrosion of the gate wall and the hole wall is a small amount, and the corrosion process has no effect on the overall potential distribution. The corrosion depth calculation model mainly uses the relevant physical quantities of beam ions and CEX ions to calculate the corrosion size of the accelerating grid hole wall and downstream surface.
(2)建立求解栅极腐蚀速率的后处理模型,求解栅极端面和孔壁的腐蚀速率分布和平均腐蚀速率。腐蚀率的定义求得其表达式:(2) Establish a post-processing model to solve the gate corrosion rate, and solve the corrosion rate distribution and average corrosion rate of the gate end surface and hole wall. The definition of corrosion rate is obtained to obtain its expression:
式中RE为腐蚀速率,J为栅极壁面离子电流密度,Y为离子溅射产额,q为离子电荷量,Mg为栅极材料原子质量,ρg为栅极材料密度。根据腐蚀速率表达式,可知:利用PIC-MCC栅极仿真模型统计得到打在栅极表面的离子电流密度即可得到栅极壁面的RE腐蚀速率。Where RE is the corrosion rate, J is the ion current density on the gate wall, Y is the ion sputtering yield, q is the ion charge, Mg is the atomic mass of the gate material, and ρg is the density of the gate material. According to the corrosion rate expression, it can be seen that the RE corrosion rate of the gate wall can be obtained by statistically obtaining the ion current density hitting the gate surface using the PIC-MCC gate simulation model.
(3)梳理栅极多模式典型工况及对应工作参数,主要包括:几何参数,如加速栅极厚度、加速栅极孔径、减速栅极厚度、减速栅极孔径、屏栅-加速间距、加速-减速间距;电参数,如屏栅极电压、加速栅极电压、减速栅极电压;等离子体参数,如上游等离子体密度、中性原子密度、阳极电压(可表征为二价离子比例)。同时,估算栅极失效极限参数,例如,加速栅极电子反流失效极限半径可根据如下公式计算:(3) Sorting out typical working conditions and corresponding working parameters of the multi-mode of the gate, mainly including: geometric parameters, such as the thickness of the accelerating gate, the aperture of the accelerating gate, the thickness of the decelerating gate, the aperture of the decelerating gate, the screen-accelerating distance, the acceleration-decelerating distance; electrical parameters, such as the screen gate voltage, the accelerating gate voltage, the decelerating gate voltage; plasma parameters, such as the upstream plasma density, the neutral atom density, and the anode voltage (which can be characterized as the proportion of divalent ions). At the same time, the gate failure limit parameters are estimated. For example, the failure limit radius of the accelerating gate electron backflow can be calculated according to the following formula:
式中,VN为净加速电压,为屏栅极电压与电离室内等离子体相对屏栅极电势之和;VT为总加速电压,为净加速电压与加速栅极电压之差;lg,rs,ta和ra分别为栅极间距、屏栅极孔半径、加速栅极厚度以及加速栅极孔半径。Where V N is the net accelerating voltage, which is the sum of the screen grid voltage and the relative screen grid potential of the plasma in the ionization chamber; VT is the total accelerating voltage, which is the difference between the net accelerating voltage and the accelerating grid voltage; l g , rs , ta and ra are the grid spacing, screen grid hole radius, accelerating grid thickness and accelerating grid hole radius, respectively.
然后,利用PIC-MCC栅极仿真模型对各典型工况参数以及失效极限参数进行仿真,得到对各典型工况参数以及失效极限参数下的栅极壁面腐蚀速率。最终,由各典型工况参数以及失效极限参数及其对应栅极壁面腐蚀速率形成数据库。Then, the PIC-MCC gate simulation model is used to simulate each typical operating condition parameter and failure limit parameter to obtain the gate wall corrosion rate under each typical operating condition parameter and failure limit parameter. Finally, a database is formed by each typical operating condition parameter and failure limit parameter and their corresponding gate wall corrosion rate.
(4)如图2所示,建立基于BP神经网络算法的神经网络模型。然后,利用已建立的数据库训练神经网络,训练过程如图3所示。训练完成的神经网络可建立分工况多参数映射。例如,加速栅孔径、上游等离子体密度、原子密度、屏栅极电压与腐蚀速率的映射可表示为:(4) As shown in FIG2 , a neural network model based on the BP neural network algorithm is established. Then, the neural network is trained using the established database, and the training process is shown in FIG3 . The trained neural network can establish a multi-parameter mapping for each working condition. For example, the mapping of the acceleration grid aperture, upstream plasma density, atomic density, screen grid voltage and corrosion rate can be expressed as:
f(ra,n0,nn,Us)→Re (4)f(r a ,n 0 ,n n ,U s )→R e (4)
式中,ra,n0,nn,Us,Re分别表示加速栅孔径、上游等离子体密度、原子密度、屏栅极电压以及腐蚀速率。Where, ra , n0 , nn , Us , and Re represent the acceleration grid aperture, upstream plasma density, atomic density, screen grid voltage, and corrosion rate, respectively.
(5)针对单一模式工作栅极,可以通过反复调用映射f,不断修正PIC-MCC模型的输入参数来得到最终时刻的输入参数,进而再仿真计算得到栅极寿命末期性能参数同时给出栅极寿命。图4所示为以每隔100小时迭代校正预估栅极寿命末期性能参数的流程。(5) For a single-mode working gate, the input parameters of the PIC-MCC model can be repeatedly called to continuously correct the input parameters of the final moment, and then the gate life performance parameters at the end of the life can be obtained by simulation calculation and the gate life can be given. Figure 4 shows the process of estimating the gate life performance parameters at the end of the life by iterative correction every 100 hours.
(6)对于多模式磨损刻蚀预估中,模式切换的本质是映射f的切换,所以对于模式切换采用如图5所示的仿真方案,即首先得到不同模式的映射,然后针对不同模式采用不同的映射进行迭代。(6) For multi-mode wear and etching prediction, the essence of mode switching is the switching of mapping f, so the simulation scheme shown in Figure 5 is used for mode switching, that is, firstly obtain the mapping of different modes, and then use different mappings for different modes to iterate.
对于寿命预估动态模型,该部分内容要求最终的仿真工具可以摆脱掉使用PIC-MCC程序进行仿真计算,实现给出任意一组模式组合可以快速预估栅极的寿命。该部分内容可以通过在整个迭代过程中添加栅极失效判据进行解决,具体过程如图6所示。For the dynamic model of life prediction, this part requires that the final simulation tool can get rid of the use of PIC-MCC program for simulation calculation, and can quickly predict the gate life given any set of mode combinations. This part can be solved by adding gate failure criteria in the entire iterative process, and the specific process is shown in Figure 6.
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