A State-Space Model of an Inverter-Based Microgrid for Multivariable Feedback Control Analysis and Design
A State-Space Model of an Inverter-Based Microgrid for Multivariable Feedback Control Analysis and Design
复制标题
基于逆变器的微电网多变量反馈控制分析与设计的状态空间模型
DOI：
10.3390/en13123279
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发表时间：
2020-06
期刊：
影响因子：
3.2
通讯作者：
Juan F. Patarroyo-Montenegro;Jesus D. Vasquez-Plaza;F. Andrade
中科院分区：
文献类型：
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作者：
Juan F. Patarroyo-Montenegro;Jesus D. Vasquez-Plaza;F. Andrade
在这项工作中，提出了一个并网和孤岛微电网的同步模型。并网模型是在参考坐标系与交流母线同步的前提下建立的。交流母线电压的正交分量可以消除，这允许将输出功率表示为交流母线幅值电压标称值的线性方程。通过使用负载电流的状态空间模型集成所有逆变器的动态特性，建立了孤岛微电网的模型。该模型是以一种全面的方式提出的，因此它可以扩展到使用电感-电容-电感(LCL)输出滤波器的任意数量的逆变器发电机。这些模型的使用使设计者能够使用诸如特征值分析和奇异值图等现代控制方法来评估微电网的稳定性和鲁棒性。这两个模型都在实验装置中进行了测试和验证，以证明它们在描述微电网动态方面的准确性。此外，还提出了三种方案：非受控模型、线性二次积分器(LQI)功率控制和功率-电压(PQ/VDQ)下垂-升压控制器。实验结果证明了控制策略的有效性和模型描述微电网动态的准确性。
In this work, a synchronous model for grid-connected and islanded microgrids is presented. The grid-connected model is based on the premise that the reference frame is synchronized with the AC bus. The quadrature component of the AC bus voltage can be cancelled, which allows to express output power as a linear equation for nominal values in the AC bus amplitude voltage. The model for the islanded microgrid is developed by integrating all the inverter dynamics using a state-space model for the load currents. This model is presented in a comprehensive way such that it could be scalable to any number of inverter-based generators using inductor–capacitor–inductor (LCL) output filters. The use of these models allows designers to assess microgrid stability and robustness using modern control methods such as eigenvalue analysis and singular value diagrams. Both models were tested and validated in an experimental setup to demonstrate their accuracy in describing microgrid dynamics. In addition, three scenarios are presented: non-controlled model, Linear-Quadratic Integrator (LQI) power control, and Power-Voltage (PQ/Vdq) droop–boost controller. Experimental results demonstrate the effectiveness of the control strategies and the accuracy of the models to describe microgrid dynamics.