【摘要】 三相隔离变压器是移动变电站的关键一次设备,为在实验室环境下快速模拟该变压器的输入/输出特性,应用Arnoldi算法建立了其降阶模型。根据电磁感应定律和安培定律,搭建了三相隔离变压器的高精度电磁等效电路,得到了输入电压、电流与磁通量变化率之间的定量关系。应用分块近似方法将变压器磁芯等效为多组环形回路,得到了铁芯的磁路等效模型,并根据该模型建立了磁阻、磁感与磁通量以及磁通量变化率之间的函数关系,进而得到了变压器的状态方程。应用Arnoldi算法将状态方程进行降阶处理,建立了三相隔离变压器的降阶模型,并进行了相应的仿真与实验验证。实验结果验证变压器降阶模型的正确性和精确性。更多还原

【Abstract】 The three-phase isolated transformer is the key primary equipment of the mobile substation. A reduced order model of the transformer is established based on the Arnoldi algorithm to fast simulate the input and output characteristics of the transformer in the laboratory environment. The high-precision electromagnetic equivalent circuit of the three-phase isolated transformer is built according to the electromagnetic induction and Ampere laws, and the quantitative relationship between the input voltage, current and the change rate of magnetic flux is obtained. The transformer core is made equivalent to a multi-set of ring loops using the block approximation method, and the equivalent magnetic circuit model of the core is obtained. Based on this model, the functional relations among the magnetic resistance, magnetic inductance, magnetic flux and the change rate of magnetic flux can be obtained, and then the state equation of the transformer can be obtained. The Arnoldi algorithm is applied to reduce the order of the state equation, and the reduced order model of the three-phase isolated transformer is obtained. Corresponding simulation and experiment are carried out to verify the correctness and accuracy of the reduced order model of the transformer.更多还原