Computer simulation plays a critical role in predicting the lifespan of critical infrastructure components, such as high-voltage power cables. However, accurately modeling complex and stochastic phenomena like electrical tree growth presents significant software engineering challenges, including the automated generation of intricate geometries and the management of parametric simulation studies. This paper presents a parameterized finite element method (FEM) workflow developed to systematically investigate the non-breakdown mechanism in cross-linked polyethylene (XLPE) cable insulation. Our software framework enables the automated construction of electrical tree models with varying channel densities, derived from empirical data. By executing a series of parametric simulations, we analyzed the correlation between tree complexity and electric field distribution. The results computationally demonstrate that the field shielding effect, induced by multiple conductive channels, can reduce the electric field intensity at the tree tip by up to 20.8%, effectively inhibiting complete breakdown. This study provides a reusable and robust software modeling paradigm that can be integrated into predictive maintenance tools for enhancing the reliability and safety of electrical grids.