An illustrative embodiment of a temperature-activated voltage generator includes a generator housing having a housing interior; a flexible, temperature-sensitive bimetallic element disposed in the housing interior; and a piezoelectric element carried by the generator housing. The bimetallic element is positional between a first position wherein the bimetallic element disengages the piezoelectric element and a second position wherein the bimetallic element engages the piezoelectric element. Electrical voltage output leads are electrically connected to the piezoelectric element. A voltage-generating method is also disclosed.