We present a characteristic improvement method for time historical analysis of stiff piecewise-linear system by adding mass. Hydraulic power lines with check valves and control valves for construction machinery exhibit piecewise-linear characteristics for hydraulic flow rate and spool stroke. The proposed method involves no time delay in determining the mass by considering both eigenvalue distortion of the system and time response. This method is useful for time historical analysis of hydraulic power lines including stiff piecewise-linear elements such as check valves, relief valves and control valves.