A modular superconducting magnetic energy storage (SMES) inductor includes a plurality of vertically adjacent winding modules each comprising a number of serially connected concentric solenoid coils. Pairs of adjacent winding modules are connected in series to form paired winding modules each of which occupies a compartment in a sectioned dewar. Only a single shorting switch is provided for each winding module for use during an emergency dump of cryogenic fluid from the dewar. Adjacent paired winding modules can be connected in series by a single connector penetrating sectional plates between dewar compartments. Arrangements of bypass switches provide the capability of taking either a single winding module or a pair of winding modules out of service while the remaining winding modules and pairs of winding modules remain in service. Any number of pairs of winding modules can be connected in one or more series circuits each serviced by its own power conversion system to achieve a desired energy storage capability.