Pulsed power load (PPL)

such as radar

connected to the shipboard integrated power system (SIPS)

induce periodic shock oscillations due to the system’s low inertia. Their nonlinear time-periodic (NLTP) characteristics aggravate system response uncertainty

potentially causing transient instability and over-limit operation of power equipment. To analyze the NLTP behavior and clarify the transient stabilization mechanism under periodic disturbances

a method for transient power-angle trajectory and stability boundary calculation is proposed. This method constructs a Dormand-Prince analytical model with variable step size and order to resolve the modeling of time-periodic state variables and map the corresponding phase-space trajectories. This paper also introduces a Lyapunov periodic exponent as a convergence criterion to identify convergence stable

sub-stable

and divergence unstable regions in the parameter space. Based on this

this paper also develops a parameter sensitivity analysis method to quantify multi-timescale characteristics of transient dynamics. A typical SIPS with PPL is modeled on the RT-LAB platform. Simulation results verify that the proposed method accurately identifies system stability

with a transient stability boundary error of about 4%.