基于最小二乘法-遗传算法和改进可变模糊集的电能质量综合评估

Comprehensive Evaluation of Power Quality Based on LSM-GA and Improved VFS

  • 摘要: 针对电能质量综合评估中存在的评估指标及指标实测数据处理的不确定性问题,提出一种基于最小二乘法-遗传算法(least squares method-genetic algorithm,LSM-GA)和改进可变模糊集(variable fuzzy set theory,VFS)的电能质量综合评估方法。首先,建立电能质量指标体系。其次,采用序关系分析法(order relation analysis method,G1)计算各个电能质量指标的主观权重,采用基于指标相关性的权重确定(criteria importance through intercriteria correlation,CRITIC)法计算各个电能质量指标的客观权重。再次,利用LSM思想对电能质量指标权重进行建模,并运用遗传算法(genetic algorithm,GA)求解权重模型,得到各个电能质量评估指标的综合优化权重,以避免单一赋权方法的不足。然后,利用集对分析(set pair analysis,SPA)来改进VFS,以此避免差异度函数的主观随意性,并构建基于LSM-GA和改进VFS的电能质量综合评估模型。最后,算例结果证明了该方法的有效性和可行性。

     

    Abstract: To address the uncertainty associated with evaluation indices and measured data processing in the comprehensive evaluation of power quality, a comprehensive evaluation method of power quality based on the least squares method (LSM), genetic algorithm (GA), and improved variable fuzzy set theory (VFS) is proposed. First, the power quality index system is established. Second, the subjective weight of each power quality index is calculated using the order relation analysis method (G1), while the objective weight of each power quality index is calculated using the criteria importance through intercriteria correlation (CRITIC) method. Third, LSM is employed to model the power quality index weights, and the GA is applied to solve the weight model. In this way, the comprehensive optimal weight of each power quality evaluation index is obtained, which avoids the limitations of single weighting methods. Subsequently, the set pair analysis theory (SPA) is used to improve the VFS, thereby avoiding the subjective randomness of the difference function. A comprehensive evaluation model of power quality based on LSM-GA and improved VFS is constructed. Finally, the results of the example verify the effectiveness and feasibility of the proposed method.

     

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