In the context of one generator-one load system with a group of induction motors， a static simulation algorithm is designed to calculate the final state of induction motor cascading stall. The high efficiency and accuracy of this static simulation algorithm are verified by strict time domain dynamic simulations. With the help of case studies of arithmetic series distributed initial slip， the key parameters that may cater for self-organized criticality（SOC） are discovered in the light of the operation experiences of practical power system. The results from massive simulations with uniform distributed initial slip show that the scales of motor cascading stall can satisfy SOC， more specifically， the PDFs of motor stall scale follow power law at critical condition in double logarithmic coordinates. Moreover， some results can be well fitted into CASCADE model. The conclusions drawn are helpful for the study of power system blackout and transient voltage stability.