The profound impact of cable stray parameters on the stability of DC distributed power systems (DPS) in ships and buildings is challenging to comprehend and results in system stability deterioration. However, the issue has not been widely reported. This paper features a disruptive RLC model and reveals that cable stray inductance dictates the system resonance frequency, which amends the subunit's equivalent resistance and influences the system damping. The developed model is innovative and more intuitive than conventional methods ensuring 95% accuracy, verified against experimental results and eigenvalue analysis. This research offers key insights to ensure robust and resilient system operation.