Abstract: Flat linear induction electromagnetic pump (FLIP) is distinguished by their high reliability and longevity, rendering them one of the optimal choices for the coolant pumping of liquid metal-cooled space nuclear power sources. In order to study the influence of longitudinal and transverse end effects on the performance parameters of FLIP, and to provide a theoretical foundation and analytical tools for the structural design and characteristic research of FLIP, a basic mathematical model for FLIP was established in this paper. Under logical assumptions and constraints, the electromagnetic field distribution within FLIP’s air gap, accounting for both longitudinal and transverse end effects, was analytically computed. By leveraging the T-equivalent circuit from traditional rotating induction motors and omitting iron losses and secondary magnetic leakages, an equivalent circuit model for FLIP was established, incorporating end effects and the impacts of conduit eddy currents. Using the results from electromagnetic analytical calculations and adhering to the principle of equal complex power in the field-circuit, end effect correction coefficients were introduced to denote the influence of end effects on the impedances in the equivalent circuit model. The developed analytical calculation methods and equivalent circuit model were tested against experimental data from FLIP found in a publicly available paper, indicating that the equivalent circuit model accurately predicts the FLIP’s performance parameters, with mean relative errors for head and efficiency around 5.38% and 7.91%, respectively. Under fixed voltage operation, the primary winding phase current relative error level is within 2.5%, indicating that the equivalent circuit model proposed in the paper can be used to calculate the performance curves of FLIP powered by a voltage source. Nevertheless, it is observed that at higher liquid metal flow rates and stator phase voltages, the model exhibits larger deviations from the experimental data. This highlights some of the limitations inherent in the modeling approach and underscores the need for further refinement for these specific operational regimes. Comparative analysis with the analytical results also reveals that at lower flow rates, the FLIP’s performance is heavily influenced by transverse end effects, while at higher flow rates, longitudinal end effects predominate. This underlines a strong correlation between the longitudinal end effects and the liquid metal flow rate, suggesting that different operational factors can significantly sway the impact of end effects. In conclusion, the calculation results indicate that the discrepancies between the equivalent circuit model’s predictions and the experimental data are within an acceptable margin of error. The presented model thus offers a rapid analysis tool and reference for material selection, parameter design, characteristic analysis, and performance optimization of FLIP.