Had the same issue with a really fancy lightbulb, which has a 12VDC power supply, generated by using a small 30VAC 1W transformer to still enable the linear regulator to deliver 12V even feeding 100VAC into the primary. Transformer well cooked, so I replaced it with a slightly used 18VAC one, and a new filter capacitor, also well cooked, for some reason, living between the hot transformer and a suffering Zetex darlington that did the linear regulation. Powered right up, and now I have a fully working fancy light, with absolutely no use for something that is both obscenely expensive and quackery. Now sits in the cupboard, bought cheap on auction as "not working, bulb faulty", but still has the original lamp in it, 12V 100W halogen, used to make polarised light at an obscenely poor efficiency.