Journal of Electrical Engineering & Technology ( IF 1.9 ) Pub Date : 2021-03-22 , DOI: 10.1007/s42835-021-00710-y Jian Le , Liangang Zhao , Xiaobing Liao , Qian Zhou , Hongke Liang
Virtual synchronous generator (VSG) control is an effective way to increase the equivalent inertia of grid connected inverter system and improve the stability of the power grid. However, the influence of this control on the stability of the whole system with time delay and parameter uncertainty should be researched further. In this paper, the state space model of the whole grid connected inverter system adopting VSG under control time-delay and parameter uncertainty is established. The Lyapunov functional with time-delay is constructed by employing time-delay dependent free weight matrix transformation. Furthermore, Lyapunov stability theorem is used to obtain the more conservative time-delay stability conditions with and without parameter uncertainty, linear matrix inequality is used to calculate the time-delay stability margin of the system under uncertainty, and the influence of the parameters of VSG control on the delay stability margin is analyzed. The validity of the proposed stability analysis and stability margin solution method are verified by simulation examples.
中文翻译:
时滞和参数不确定性下含虚拟同步发电机的并网逆变器系统的稳定性分析
虚拟同步发电机(VSG)控制是增加并网逆变器系统的等效惯量并提高电网稳定性的有效方法。然而,这种控制对整个系统的稳定性具有时延和参数不确定性的影响应进一步研究。建立了在控制时滞和参数不确定性条件下采用VSG的并网逆变器系统的状态空间模型。具有时滞的Lyapunov函数是通过采用与时滞相关的自由权重矩阵变换来构造的。此外,使用Lyapunov稳定性定理来获得带有和不带有参数不确定性的更保守的时滞稳定性条件,利用线性矩阵不等式计算不确定性条件下系统的时滞稳定裕度,并分析了VSG控制参数对时滞稳定裕度的影响。仿真实例验证了所提出的稳定性分析方法和稳定性余量求解方法的有效性。