基于FAHP组合赋权TOPSIS的电能质量综合评估

Comprehensive evaluation of TOPSIS power quality based on FAHP combination weighting

电能质量综合评估对配电网电能质量的有效管控及构建稳定电力市场环境下优质电能的合理定价至关重要。为充分挖掘各个评价指标的价值与信息,得到准确、符合客观实际的电能质量综合评价结果,提出一种基于组合赋权-理想解法(Technique for Order Preference by Similarity to an Ideal Solution,TOPSIS)的电能质量综合评价方法。首先,建立电能质量评估体系,根据相关标准划分等级,利用模糊层次分析法和熵权法分别确定主观权重、客观权重,对主客权重进行组合得到评估指标的最终权重;其次,为解决指标间可能存在线性关系,使用基于夹角余弦的距离度量方式取代传统的欧式距离公式,建立改进的TOPSIS综合评估方法;最后,通过算例验证了该方法的可行性和可靠性。

Comprehensive evaluation of power quality is very important for the effective control of power quality in distribution network and the reasonable pricing of high-quality power in a stable electricity market environment. To fully mine the value and information of each evaluation index,and get accurate and realistic comprehensive evaluation results of power quality,a comprehensive evaluation method based on fuzzy analytic hierarchy process(FAHP)combined weighting method(technique for order preference by similarity to an ideal solution,TOPSIS)is proposed. Firstly,the power quality evaluation system in this paper is established,the grades are divided according to relevant standards,the subjective weight and objective weight are determined by fuzzy analytic hierarchy process and entropy weight method respectively,and the final weight of the evaluation index is obtained by combining the subjective and objective weights. Secondly,in order to solve the possible linear relationship between indicators,an improved TOPSIS comprehensive evaluation method is established by replacing the traditional Euclidean distance formula with the distance measurement method based on cosine of included angle. Finally,an example is given to verify the feasibility and reliability of this method.