To satisfy the growing passenger transportation demands and improve the service quality n railway system, a more stable and robust timetable needs to be designed while considering highly utilized capacity. Acyclic timetable is extensively applied in large ailway networks. In order to acquire the quality of timetable, analytical timetable stability analysis software PETER (Performance Evaluation of Timed Events in Railways) is used o analyse timetable stability and robustness with delay impact, delay sensitivity and delay propagation. The method has been applied to the Yangtze River Delta of the Chinese ailway network.