This handbook and dataset provides a large set of ferromagnetic saturation curves with Hysteresis based on JA model and nonlinear reluctance of Matlab/Simulink/Simscape. The saturation curves are available for different materials, but for simulations, the JA parameters are also needed which are not available to the public. Therefore, this handbook will help researchers to find the best fit between their specimen and curves provided in this handbook to find the approximate JA parametes to use, or start fiding accurate JA using them as the initial values.