In this study we present results of three-dimensional PIC simulations of the laboratory magnetosphere dynamics inthe Space Plasma Environment Research Facility (SPERF, Harbin, China). Magnetosheath plasma is formed byionization of background gas and moves when the magnetic flux is pumped by large, 2m-diameter MS coils. Thisapproach allows setting the required magnetic field and plasma drift velocity. The calculations are performed by theparallel code iPIC3D, which implements a semi-implicit Particle-in-Cell method. The main improvement in thepresented model of the AREX (Asymmetric REConnection) experiment was the addition of a new module with aninternal boundary condition; the plasma in the computational domain moves self-consistently by changing the currentin the main MS coils. The study analyzes the signatures of magnetic reconnection on kinetic scales of the order of theelectron gyroradius, with parameters typical for the asymmetric dayside reconnection in the AREX-SPERFexperiment. The configuration of the current sheet in the diffusion region is studied; appearance of a region withelectron jets and significant non-gyrotropy and a magnetic Hall field is shown. We apply the FOTE (First-OrderTaylor Expansion) method to analyze the magnetic topology and detect an X-line on the dayside. It is shown that theFOTE method will allow us to isolate the passage of the null points and reconnection region vicinity in theexperimental data.The work was supported by the Russian Science Foundation, project No. 23-47-00084 "Magnetic Reconnection inSpace and Laboratory Plasmas: Computer Simulations and Empirical Modeling".