High frequency electrical heating system is provided for heating electrically conductive parts as they are advanced, either for annealing or welding processes, and in which the electrical heating current is supplied by a solid state DC to AC inverter through a load matching and frequency control circuit that maintains the desired load current and frequency with changes in the load impedance caused by the electrically conductive parts as they are advanced. Load matching is achieved with high frequency variable reactors having a geometrically-shaped moveable insert core section and a stationary split-bus section with a complementary geometrically-shaped split bus section and a split electric terminal bus section where the insert core section can be moved relative to the stationary split-bus section to vary the inductance of the reactor pair.