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As one form in power-by-wire actuation system, the Electro backup hydraulic actuation system (EBHAs) has broad application prospects in the aviation field. In this paper, a numerical simulation model of the system performance for EBHAs is established. Based on the detailed description of its working principle, the mathematical models of EBHAs and its subsystems, as well as numerical model in the Matlab / Simulink environment are established, and a larger number of numerical simulations are carried out, which contain the normal working mode and the backup working mode. Furthermore, numerical simulation results are compared and analyzed with those results of experimental, which further verified the system simulation model established in this paper. It can be concluded from the results that the dynamic response of the system can meet the requirements of the design, no matter the normal or backup working modes. And the simulation results of the system sweep frequency are basically consistent with the test results, and the error is less than 10%. It is clear that the simulation model presented in this paper can accurately describe the system characteristics of EBHAs, which is useful to the design of EBHAs system.