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In order to discuss the limit handling performance of a FSAE race car, a method to generate the G-G diagram was proposed based on phase plane concept. The simulated G-G diagram was validated by experiments with an electric FSAE race car. In section 1, a nonlinear 7 DOFs dynamic model of a certain electric FSAE race car was built. The tire mechanical properties were described by Magic Formula, and the tire test data was provided by FSAE TTC. In section 2, firstly the steady-state yaw rate response was discussed in different vehicle speed and lateral acceleration based on the simulations. Then the method to generate the G-G diagram based on phase plane concept was proposed, and the simulated G-G diagram of a certain FSAE race car was obtained. In section 3, the testbed FSAE race car was described, including the important apparatuses used in the experiments. Based on the race track experiment, the G-G diagram of the race car was obtained.