DC access capability of the receiving power grid is one of the key issues in the planning and operation of the HVDC transmission system. Starting from the influence of the controllable capacitor commutating converter connected to the weak AC receiving power grid on the commutation failure, based on the analysis of the basic principle and topology of the controllable capacitor commutating converter, a steady-state mathematical model of the controllable capacitor commutating converter is established. In order to get closer to engineering practice and improve control precision, the response characteristics of the DC control system are considered, and the response control strategy of the controllable capacitor commutated converter with the commutation voltage time area as the control target is studied. For the commutation failure caused by short circuit fault, a fault recovery strategy using a MOV-parallel gap combination protection device is proposed to shorten the fault recovery time of the capacitive commutated converter during the fault. Finally, based on the PSCAD/EMTDC platform, the simulation verification and comparison with other schemes prove that the above control strategy is effective in reducing the risk of commutation failure and fault recovery of weak receiving end network.