基于高斯过程回归模型的发电机优化与条件似然下限搜索

Xiao Liu;Pingting Lin;Fan Bu;Shaoling Zhuang;Shoudao Huang
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摘要

在发电机优化过程中,有限元仿真产生的噪声往往会导致模型陷入局部最优解和过拟合。因此,本文提出了一种基于条件似然下限搜索(CLLBS)的高斯过程回归(GPR)模型来优化发电机的设计,该模型可以过滤数据中的噪声,并结合条件似然下限搜索方法进行全局优化搜索。以 15 kW 永磁同步电机的效率优化为例。该方法首先利用基元效应分析选择敏感变量,结合进化算法设计超拉丁立方体采样方案;然后通过建立协同仿真平台对发电机-变流器系统进行仿真,获取数据。结合条件似然下界搜索方法建立高斯过程回归模型,并结合卡方检验对模型精度进行全局优化。其次,在模型达到精度后,以最大输出扭矩为约束条件,通过 NSGA-II 算法得到帕累托前沿。最后,通过引入基于重插值模型的最大约束改进期望(CEI)优化方法,将约束优化转化为无约束优化问题,对高斯过程回归模型的优化结果进行交叉验证。上述方法使发电机的效率分别提高了 0.76% 和 0.5%;该方法可用于发电机系统的快速建模和多目标优化。
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Optimization of Generator Based on Gaussian Process Regression Model with Conditional Likelihood Lower Bound Search
The noise that comes from finite element simulation often causes the model to fall into the local optimal solution and over fitting during optimization of generator. Thus, this paper proposes a Gaussian Process Regression (GPR) model based on Conditional Likelihood Lower Bound Search (CLLBS) to optimize the design of the generator, which can filter the noise in the data and search for global optimization by combining the Conditional Likelihood Lower Bound Search method. Taking the efficiency optimization of 15 kW Permanent Magnet Synchronous Motor as an example. Firstly, this method uses the elementary effect analysis to choose the sensitive variables, combining the evolutionary algorithm to design the super Latin cube sampling plan; Then the generator-converter system is simulated by establishing a co-simulation platform to obtain data. A Gaussian process regression model combing the method of the conditional likelihood lower bound search is established, which combined the chi-square test to optimize the accuracy of the model globally. Secondly, after the model reaches the accuracy, the Pareto frontier is obtained through the NSGA-II algorithm by considering the maximum output torque as a constraint. Last, the constrained optimization is transformed into an unconstrained optimizing problem by introducing maximum constrained improvement expectation (CEI) optimization method based on the re-interpolation model, which cross-validated the optimization results of the Gaussian process regression model. The above method increase the efficiency of generator by 0.76% and 0.5% respectively; And this method can be used for rapid modeling and multi-objective optimization of generator systems.
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