System and method for generating and storing electricity by electromagnetic induction using a magnetic field modulated by the formation, dissipation, and movement of vortices produced by a vortex material such as a type II superconductor and further including a vortex flux generator in cryostat and a refrigerant compartment having bi-directionally thermal transfer to the vortex flux generator are described. Magnetic field modulation occurs at the microscopic level, facilitating the production of high frequency electric power. Generator inductors are manufactured using microelectronic fabrication, in at least one dimension corresponding to the spacing of vortices. The vortex material fabrication method establishes the alignment of vortices and generator coils, permitting the electromagnetic induction of energy from many vortices into many coils simultaneously as a cumulative output of electricity. A thermoelectric cycle is used to convert heat energy into electricity.