With the help of relative entropy theory,norm theory,and bootstrap methodology,a new hypothesis testing method is proposed to verify reliability with a three-parameter Weibull distribution.Based on the relative differ...With the help of relative entropy theory,norm theory,and bootstrap methodology,a new hypothesis testing method is proposed to verify reliability with a three-parameter Weibull distribution.Based on the relative difference information of the experimental value vector to the theoretical value vector of reliability,six criteria of the minimum weighted relative entropy norm are established to extract the optimal information vector of the Weibull parameters in the reliability experiment of product lifetime.The rejection region used in the hypothesis testing is deduced via the area of intersection set of the estimated truth-value function and its confidence interval function of the three-parameter Weibull distribution.The case studies of simulation lifetime,helicopter component failure,and ceramic material failure indicate that the proposed method is able to reflect the practical situation of the reliability experiment.展开更多
为了对智能配电网运行状态进行综合评估,提出了基于改进接近理想解法(modified technique for order preference by similarity to ideal solution,MTOPSIS)和灰色关联度分析(grey relational analysis,GRA)的评估方法。首先构建一套涵...为了对智能配电网运行状态进行综合评估,提出了基于改进接近理想解法(modified technique for order preference by similarity to ideal solution,MTOPSIS)和灰色关联度分析(grey relational analysis,GRA)的评估方法。首先构建一套涵盖智能配电网核心价值和运行需求的评估指标体系,利用层次分析法和熵权法分别计算指标的主客观权重,并运用最优化方法计算得到综合权重,从而避免线性法计算综合权重时的主客观权重重要性因子的主观因素,保证综合权重的科学合理性;然后设计融合MTOPSIS和GRA的评估模型,综合考虑指标数据的静态距离和数据曲线动态趋势,弥补因指标数据相关性而导致欧式距离失效的问题,利用该模型计算出配电网运行状态的综合评估结果。最后以电能质量指标为算例分析验证了该方法的可行性和有效性。展开更多
基金Project (Nos. 51075123 and 50675011) supported by the National Natural Science Foundation of China
文摘With the help of relative entropy theory,norm theory,and bootstrap methodology,a new hypothesis testing method is proposed to verify reliability with a three-parameter Weibull distribution.Based on the relative difference information of the experimental value vector to the theoretical value vector of reliability,six criteria of the minimum weighted relative entropy norm are established to extract the optimal information vector of the Weibull parameters in the reliability experiment of product lifetime.The rejection region used in the hypothesis testing is deduced via the area of intersection set of the estimated truth-value function and its confidence interval function of the three-parameter Weibull distribution.The case studies of simulation lifetime,helicopter component failure,and ceramic material failure indicate that the proposed method is able to reflect the practical situation of the reliability experiment.
文摘为了对智能配电网运行状态进行综合评估,提出了基于改进接近理想解法(modified technique for order preference by similarity to ideal solution,MTOPSIS)和灰色关联度分析(grey relational analysis,GRA)的评估方法。首先构建一套涵盖智能配电网核心价值和运行需求的评估指标体系,利用层次分析法和熵权法分别计算指标的主客观权重,并运用最优化方法计算得到综合权重,从而避免线性法计算综合权重时的主客观权重重要性因子的主观因素,保证综合权重的科学合理性;然后设计融合MTOPSIS和GRA的评估模型,综合考虑指标数据的静态距离和数据曲线动态趋势,弥补因指标数据相关性而导致欧式距离失效的问题,利用该模型计算出配电网运行状态的综合评估结果。最后以电能质量指标为算例分析验证了该方法的可行性和有效性。