Small-signal Stability Analysis of DC Ship Hybrid Power System with Energy Storage Device Based on Hybrid H-matrix Model

Amidst growing environmental concerns and energy crisis, dc ship hybrid power systems (dc-SHPSs) incorporating energy storage systems (ESSs) has gained widespread applications in the marine industry owing to their flexibility and operability. However, the complex operating modes associated with ESSs and the protection of trade secrets make it difficult to analyze the stability of dc-SHPSs using traditional impedance-based stability criterion. Therefore, this study proposes a new method for analyzing the stability of a dc-SHPS with an ESS by introducing the concept of hybrid H-matrix model. The proposed stability analysis method can guarantee no right half-plane (RHP) poles in the system minor-loop gain, avoiding the need for detailed converter parameters in analyzing system stability. In addition, the method based on the Bode diagram is also proposed to evaluate system stability because assessing it using the Nyquist curve is difficult. This method provides a more intuitive assessment of system stability and is more suitable for engineering applications. Furthermore, some existing impedance-based stability criteria are analyzed and compared with the proposed stability criterion based on the hybrid H-matrix model. Finally, the effectiveness and validity of the proposed stability criterion are verified through time-domain simulations on Matlab/Simulink and experimentation on a hardware-in-the-loop (HIL) platform.