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Maintaining the service continuity of the critical loads is extremely important for an industrial power system after experiencing severe disturbances. A sudden interruption in production may result in significant economic loss and raise safety concern. Remaining synchronization of large synchronous motors after disturbances is the key transient stability index of an industrial power system. This paper presents a parametric sensitivity analysis to analyze the key parameters that affect transient stability response of the synchronous motor within an industrial power system. Different excitation model representations and inertia constants H are used in the analysis. The critical clearing time is used to measure the stability of the system under the impact of both internal and external three-phase faults. Based on the results, recommendations on machine selection criteria to improve the transient stability response of the system are offered.