A single electronic module includes a autoregulating circuit that regulates an oscillation frequency of an oscillating mechanical system, such as a balance having a balance spring. A piezoelectric element is mounted on the oscillating balance spring and connected to the autoregulating circuit to generate an alternating voltage. The autoregulating circuit rectifies the alternating voltage and regulates the alternating voltage frequency. The rectified voltage is stored in a capacitor to power the autoregulating circuit. The autoregulating circuit includes an oscillator connected to a mirco-electro-mechanical system (MEMS) resonator that supplies a reference signal, and compares the frequency of the alternating voltage to the reference signal frequency. The autoregulating circuit supplies frequency adaptation signal to the piezoelectric element according to the result of the comparison, in order to regulate the oscillation frequency of the balance.