多源异构孤岛微网多尺度失稳机理与鲁棒无源增强控制方法研究

含高渗透率分布式电源的孤岛微网缺乏惯量支撑，呈现拓扑时变、暂态快、非线性强、多尺度动态耦合等特征，其失稳机理和稳定性量化评估缺乏理论支撑。项目拟在构建微网装备级频闪映射模型基础上，基于李雅普诺夫指数法和弗洛凯理论揭示装备多尺度失稳机理，通过能量函数法求取装备平衡点收敛域；提出微网多尺度模型降阶和模糊线性化方法，探索非平稳运行状态下微网运行轨迹的能量表征形式和平衡点收敛域的量化方法，揭示源网荷扰动、多尺度动态耦合导致的微网全局失稳机理；结合电力电子非线性动力学和优化理论，构建基于广义下垂控制、附加阻尼控制和计及微源内电势动态特性的伯格曼能量函数，深入研究鲁棒无源增强控制策略及参数设计方法，通过数字仿真和功率级硬件平台实验验证上述理论和方法的有效性。以上关键问题的探索与解决，对于深入剖析多源异构孤岛微网多尺度失稳机理，提升微网全局稳定性和优化装备动态行为，具有重要的理论意义和实用价值。

Due to the lack of inertial support, the islanded microgrids with high penetration of the distributed generations (DGs) show the characteristics of time-varying topologies, fast transients, high nonlinearities and multi-scale dynamic coupling among state variables, there is still insufficient theoretical investigations for instability mechanism and stability analysis tools. Based on the stroboscopic map models of power converters, this project applies the Lyapunov exponent method and Floquet theory to reveal the mechanism of multi-scale instability phenomena, and acquires the domain of attraction based on energy function method. The multi-scale model reduction and fuzzy linearization method for the islanded microgrid are proposed, the operation trajectory under nonstationary operating conditions is studied using energy representation form, and the quantitative method is applied to estimate the domain of attraction, and the mechanism of global instability of microgrid is revealed under DG and load disturbances, and multi-scale dynamic coupling effect. Take advantage of the nonlinear dynamics of power electronics and optimization theory, the Bergman energy function is built based on the generalized droop control, supplemental damping control and the dynamics of internal potential of DGs, and the robust passivity-based control strategy and parameter design method are studied. The effectiveness of the proposed theoretical analyses and methodologies are confirmed by the digital simulation and experimental studies from the prototype system. The exploration and solution of these key issues would have important theoretical significance and practical value in terms of understanding mechanism of multi-scale instability, enhancing global stability and dynamic performance for the islanded microgrid.