The opposite of inductance is reluctance, you have a switched reluctance motor - they are usually extremely well implemented flux bottles. The flux generated by the current pulls the rotor poles into the position of minimal reluctance, attracting the rotor instead of repelling it. Due to reluctance acts as an attraction force, the only factors for motor control is the rotors relative position and amplitude of current, so it takes a control assembly to time it just right. Also a generator mode controller could be made that feeds short pulses to produce a field that gets amplified for generating output, but thats smart module stuff DIY'rs would be challanged by.
Getting a usable voltage out at low rpm can be a challange, adding neo magnets to the rotor will excite the fields but output is limited. I've got a diary on exploring simple mods on a variable reluctance motor - but I've stalled untill I can get an oscilloscope to see whats going on!
Pictures and data plate would be helpfull....
