Based on T-type equivalent circuit， the bifurcation of single induction motor at steady operation state is analyzed and it is found that motor slip at bifurcation point depends on the parameters of motor and its load only， while voltage at bifurcation point further depends on the initial state. By studying the relationship between motor initial slip and motor operation indexes， the rational distribution range of initial slip is derived. Taking the single load and infinite bus system as the studying object， the analysis method for steady operation state of induction motor group is proposed. Under the condition of arithmetic series distributed initial slip and equal initial motor power， the steady operation states of induction motor group are calculated. Their relationships with system operation condition and stalled motor number are studied. Finally， the relation of these analyzed results with the expected steady states of induction motor group or single induction motor under certain stochastic condition are studied. The studied results show that the arithmetic series distributed initial slip and equal initial power approximate both the results of motor group with uniform distributed initial slip and uniform dispatched initial power， and the results of single motor with uniform distributed initial slip.