The invention discloses a doubly-fed asynchronous generator set low voltage ride through control system and a control method thereof. The system comprises a doubly-fed asynchronous generator, a converter, a current detection module, a Crowbar circuit control module and a Crowbar module, wherein the doubly-fed asynchronous generator is connected with the electrical network, the converter is arranged between the doubly-fed asynchronous generator and the electrical network, and the current detection module, the Crowbar circuit control module and the Crowbar module are sequentially connected and are then arranged between the converter and the doubly-fed asynchronous generator. According to the system, the current change rate is calculated by setting the Crowbar circuit control module, the current peak value and the peak value arrival time are predicted, the proper time and the optimum resistance value for access of a Crowbar circuit are acquired, the optimum access resistance value and the access time of the Crowbar circuit are guaranteed according to low voltage faults in different levels, the recovery time of the low voltage faults is effectively ameliorated, energy consumption is reduced, and low voltage ride through capability of the doubly-fed asynchronous generator set is greatly improved.