Regenerative braking is possible in a DC shunt motor with field weakening control (option B).
During regenerative braking, the motor acts as a generator, converting the kinetic energy of the rotating load back into electrical energy. In a DC shunt motor with field weakening control, the field current is reduced, which weakens the magnetic field and allows the motor to operate at speeds higher than the base speed. This field weakening control enables the motor to handle regenerative braking by allowing the generated electrical energy to be dissipated or fed back into the power supply.
On the other hand, regenerative braking is not typically implemented in a DC series motor (option C) or a DC compound motor (option D) due to their inherent characteristics and design limitations. Additionally, armature resistance control (option A) alone does not provide the necessary control mechanism for regenerative braking.
Therefore, the correct answer is B, DC shunt motor with field weakening control.