Systems and methods for electrically testing electromigration in an electromigration test structure are disclosed herein. The systems include a voltage control portion, a current control portion, and a current regulating structure. The systems further include an electric current detector, a first system connection, and a second system connection. The systems also include a voltage detector, and a controller. In some embodiments of the methods, a voltage control portion regulates a high-side signal electric current to maintain a voltage difference below a voltage setpoint while a current control portion maintains the high-side signal electric current below a threshold current value. In some embodiments of the methods, one of the voltage difference and a magnitude of the high-side signal electric current is selected as a primary control parameter while the other is selected as a compliant control parameter.