中文摘要：

电力变压器运行状态评估是指导变压器状态检修及提高电力系统运行可靠性的重要手段。由于影响变压器状态信息因素众多，针对多指标评估中易出现指标不相容而导致评估错误的难题，建立了变压器运行状态评估层次指标体系，提出了基于可拓学的变压器运行状态层次评估模型，将影响变压器状态的多指标评估转换为单目标评估，通过定性和定量相结合的分析方法达到状态综合评估的目的。模型还给出可拓层次评估中经典域的确定方法，以提高评估的准确性。实例分析表明变压器运行状态可拓层次评估模型的合理性和有效性。

英文摘要：

Operational condition assessment of power transformer is an important way to provide decision-making tor condition maintenance and to improve the operation reliability of power system. Many factors affect the state information of power transformer. Aiming at the easily occurred incompatibility which leads to erroneous estimation, we established a transformer operational state assessment hierarchy index system, and proposed the corresponding model on the basis of the extension theory. The extension theory converts the multi-object assessment to single object assessment by combining qualitative and quantitative analysis methods to achieve a comprehensive assessment state. Moreover, the model also gives a definite method of classical domain in extension-lever assessment to improve the assessment accuracy. The case analysis proves that the extension hierarchy assessment of power transformer is rational and effective.