论文标题
高阶歧管上多转换器功率系统的稳态表征和频率同步
Steady state characterization and frequency synchronization of a multi-converter power system on high-order manifolds
论文作者
论文摘要
我们研究了在高阶歧管上定义的多转换器功率系统模型的稳定性。为此,我们确定了其由AC信号的静态角移和旋转产生的对称性(即旋转不变性)。我们表征稳态集,主要由稳态角度和直流功率输入确定。基于其Jacobian矩阵的特征值条件,我们通过应用中心歧管理论来显示在同步稳态设置的邻域中多转换器系统的渐近稳定性。我们通过明确的方法保证特征值条件。最后,我们基于涉及相同DC/AC转换器系统网络的数值示例来证明我们的结果。
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.