【摘要】 拉格朗日极值法是求取变量受一个或多个条件限制的多元函数极值的方法,在此以该方法为基础,改进得到了双有源桥(DAB)变换器优化控制策略。相比常用的解析法,避免了求解外移相比和内移相比及电压调节比方程式的过程,同时也避开了较为复杂的闭环系统设计。通过舍掉函数对拉格朗日乘子偏导数为零的条件,得到几个平面相交的交点即为连续的最优轨迹,从而得到最优移相角。最后搭建了实验样机,将最优解组合下的电感电流应力与非最优组合的应力进行对比,实验结果与理论分析一致,从而证明了所提方法的有效性与可行性。更多还原

【Abstract】 The Lagrangian extremum method is a method for obtaining the extremum of a multivariate function whose variables are restricted by one or more conditions.Based on this method,the dual active bridge(DAB) converter optimization control strategy has been improved.Compared with the commonly used analytical method,it avoids the need to solve the expression of the external phase shift ratio,the internal phase shift ratio and the voltage regulation ratio,and it also avoids the more complicated closed-loop system design.By discarding the condition that the partial derivative of the Lagrange multiplier is zero by the function,a continuous optimal trajectory determined by the intersection of several planes is obtained,and the optimal phase shift angle is obtained.Finally,an experimental prototype is built to compare the inductor current stress under the optimal solution combination with the stress of the non-optimal combination.The experimental results are consistent with the theoretical analysis,which proves the effectiveness and feasibility of the proposed method.更多还原