Research on transient simulation of partial discharge based on differential-algebraic equation approach

As power systems evolve towards higher voltages and larger capacities, the impact of Partial Discharge (PD) phenomena on cable insulation performance has become increasingly significant. Being a common form of PD, accurately simulating and analyzing the process of void partial discharge is crucial for assessing and enhancing the operational reliability of cables. Traditional PD simulation methods have limitations in dealing with complex nonlinearities and transient characteristics. Therefore, this study employs the Differential-Algebraic Equations (DAEs) approach, in conjunction with the Julia programming language and its Differential Equations.jl library, to construct and solve a mathematical model describing the transient process of partial discharge. By utilizing the conventional three-capacitance model and dynamically adjusting the void resistance through callback mechanisms, the simulation of PD phenomena was realized. The validation of the proposed model and methodology was achieved through simulation case studies, demonstrating their capability to capture the transient behavior of PD and its dynamic impacts on circuit performance.