Power System Model Reduction with Grid-Connected Photovoltaic Systems Based on Hankel Norm Approximation

In order to ensure stability of the system, transmission and distribution studies need to be performed. These simulation studies can be time consuming due to high complexity of the system. This paper investigates model reduction on a power system with photovoltaic generation. This is done by decreasing the complexity of the detailed model, which leads to a smaller simulation time, but still maintaining the accuracy of the model. Therefore, the Hankel norm approximation is chosen, which applies controllability and observability properties of the system to compute the singular values. These singular values are helpful for determining the order and accuracy of the reduced system. For the verification of the Hankel norm approximation, a small four-bus test system is studied in MATLAB/Simulink. The results of the reduced linearized model are compared with the original nonlinear model and show good accuracy.