高阶流形上多变流器电力系统的稳态特性及频率同步
Steady state characterization and frequency synchronization of a multi-converter power system on high-order manifolds
摘要：
研究了定义在高阶流形上的多变流器电力系统模型的稳定性。为此，我们确定其对称性（即，旋转不变性）由AC信号的静态角位移和旋转产生。我们表征的稳态集，主要由稳态角和直流电源输入。基于其雅可比矩阵的特征值条件，利用中心流形理论证明了多变流器系统在同步稳态集附近的渐近稳定性。我们通过显式方法保证特征值条件。最后，我们证明了我们的结果的基础上，涉及一个网络的相同的DC/AC转换器系统的数值例子。
英文摘要：
We investigate the stability properties of a multi-converter power system model, defined on a high-order manifold. For this, we identify its symmetry (i.e., rotational invariance) generated by a static angle shift and rotation of AC signals. We characterize the steady state set, primarily determined by the steady state angles and DC power input. Based on eigenvalue conditions of its Jacobian matrix, we show asymptotic stability of the multi-converter system in a neighborhood of the synchronous steady state set by applying the center manifold theory. We guarantee the eigenvalue conditions via an explicit approach. Finally, we demonstrate our results based on a numerical example involving a network of identical DC/AC converter systems.
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