In order to study the influence of random factors on traffic flow, several traffic flow models considering the interaction potential are proposed. They are developed based on the simple asymmetric exclusion process and the microscopic dynamic model, and show the advantage of describing the stochastic evolution of traffic flow. Several interaction potential related traffic flow models are also compared in this paper. Especially, the computing mechanism of the vehicle state transition probability in different models are compared. Moreover, the stochastic evolutionary phenomena described in different models are compared by means of numerical simulation. The flow density diagram, spatiotemporal patterns and threedimensional evolution results of these models are then obtained by the comparison in this paper. These results provide the foundation on further potential function optimization and the establishment of stochastic traffic flow models in accordance with actual traffic.