Abstract: In the event of typhoon, the probability of power system shutdown failure and large-scale off-grid of new energy units increases and the frequency safety problem becomes prominent. Generally, the power market maintains the system stability by adding the frequency safety constraints to the spot market clearing model. Traditional frequency safety constraints are deduced and acquired based on the fixed disturbance power, which fails to take into account the safety and economy of the system. In view of this, the frequency safety constraints are derived with shutdown probability taken into account. Consequently, a joint clearing model of electric energy, inertia and primary frequency regulation auxiliary services is proposed considering shutdown probability. The model is transformed into a mixed integer second-order cone programming model for optimization. Finally, the effectiveness of model is verified through a numerical example, and the influence of different schemes on the resource clearing result under typhoon weather is discussed. Results show that the energy, inertia, and primary frequency regulation model with shutdown probability can reduce the system cost on the basis of meeting the frequency safety requirements of the system.