Power electronic equipment regulated by the International Thermonuclear Experimental Reactor (ITER) organization must be tested in a relevant steady-state magnetic field immunity test, and the test area is generally required to be a cube shape. For this reason, a multiple square coil system structure is used. In this paper, a Taylor expansion and an optimization program are used to determine the optimal parameters of a coil system with different groups. For a three-coil system, the effects of the conductor cross-section, conductor spacing, helical structure, and conductor connection on the magnetic field uniformity are analyzed. A clear understanding of the influence degree of the error helps design an actual coil system. ITER organization is currently conducting research on magnetic field generator for electronic devices in large scientific devices. The design method proposed in this paper can reduce the design difficulty and provide theoretical support. INDEX TERMS Error analysis, immunity test, magnetic field uniformity, multiple square coil systems.