With the development of high energy solid propellants, it is critical to evaluate the safety and power performance of solid propellants in the face of threats such as unmanned aerial vehicles(UAVs) when transporting and using them in contemporary warfare. An electric probe-type cylinder test measured the displacement-time behavior of NEPE high-energy solid propellant, and the parameters of the JonesWilkins-Lee(JWL) equation of state(EOS) were derived using particle swarm optimization(PSO) with the Gurney energy model. Further, the parameters of JWL-Miller EOS, determined through AUTODYN simulations, were validated by comparing airburst process simulations with experimental overpressure data. The study established a method for determining EOS parameters of high-energy propellants,achieving a high degree of accuracy. The derived parameters ensure precise modeling of propellant behavior, offering a reliable foundation for future applications in solid rocket motor performance optimization and safety assessment.