Abstract This paper deals with the stabilization of DC–DC converters feeding constant power loads (CPLs). It is shown that power/energy dynamics are easily computed via the image of the input/output voltages/currents of the converter. Such image is represented by a high-order differential operator, obtained from first principles, acting on the variables of a stabilizing interconnected controller. This approach is based upon the premise that the destabilizing effect of CPLs, is caused due to a power imbalance in a dissipation equality, which prevents passivity. The proposed stabilizing mechanism shapes the power dynamics via an interconnected controller, inducing a feasible power flow and thus passivity. To do so, we developed a stability test, as well as control design tools in terms of linear matrix inequalities (LMIs), constructed from coefficient matrices of the system dynamics. As a practical advantage, the proposed power shaping approach permits to link stability conditions with the nominal power rate specification of power converters. Finally, we show that the proposed framework can also accommodate other traditional frequency domain, eigenvalue and immittance criteria. The main results are validated via a theoretical analysis and experimental results.

中文翻译：

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具有恒定功率负载的 DC-DC 转换器的功率整形控制

摘要 本文讨论了为恒定功率负载 (CPL) 供电的 DC-DC 转换器的稳定性。结果表明，通过转换器的输入/输出电压/电流的图像可以轻松计算功率/能量动态。这种图像由高阶微分算子表示，该算子从第一原理获得，作用于稳定互连控制器的变量。这种方法基于这样一个前提，即 CPL 的不稳定效应是由于耗散等式中的功率不平衡而引起的，这会阻止被动。所提出的稳定机制通过互连的控制器塑造功率动态，从而产生可行的功率流，从而产生被动性。为此，我们开发了稳定性测试，以及线性矩阵不等式 (LMI) 方面的控制设计工具，由系统动力学的系数矩阵构成。作为一个实际优势，所提出的功率整形方法允许将稳定性条件与功率转换器的标称功率规格联系起来。最后，我们表明所提出的框架还可以适应其他传统的频域、特征值和导抗标准。通过理论分析和实验结果验证了主要结果。