A method for the analysis of high‐speed solid‐rotor induction motors is presented. The analysis is based on a new combination of the three‐dimensional linear method and the transfer‐matrix method. Both saturation and finite length effects are taken into account. The active region of the solid rotor is divided into saturated and unsaturated parts. The time dependence is assumed to be sinusoidal and phasor quantities are used in the solution. The method is applied to the calculation of smooth solid rotors manufactured of different materials. Five rotor materials are tested: three construction steels, pure iron and a cobalt‐iron alloy. The results obtained by the method agree fairly well with the measured quantities.