关键词: 非光滑分布参数系统, 参数辨识, 最优性条件

Abstract: The parameter identification problem of the temperature field of the transformer is a piecewise smooth identification problem. Taking the flow velocity as the identification parameter,  consider a parameter identification problem of temperature field of the transformer, prove the existence of the optimal parameter and the necessary optimality conditions, and present a theoretical basis for the numerical simulation of temperature field of transformers.