It all comes down to the type of orchid you like to grow. There are roughly two effects that trigger flowering in plants generaly, Photoperiodism and vernilazation.
Depending on the orchid specie you grow some require both and some just one of them. With photoperiodism plants will produce a phytochrome that will absorb light at 660nm and deactivates at absorbing 730nm which is emitted by moon light. Thats how plants know how long the nights are. PLants do not measure daylenghts but nightlenghts.
The problem comes when growing in a basement is simply that there may be no deep red light to absorb and thus upsetting the plant thinking there is no night. Using deep red light may help.
Vernilazation is the effect that plants want low temps for a period of time, usually <15 C. How that mechanism works is still debated. I believe cymbydium and dendrobium are one of those.
Phala's are subjective to photoperiodism.
Vanda's are dayneutral and only want lightlightlight.
Just search google with "photoperiodism vanda" for example and you will find the info you need for that parcticular orchid specie.
The problem indeed with artificial light is the constant feed a day. The nightlenght will not change but the amount of energy absorbed will increase drasticly. Plants may easily burn because they get more then they expect. Also it may be usefull to check this link out.
Day Length
If you know where that specific orchid is coming from you know how the daylenghts over there are and you can adapt your lighting to it.
Be also forwarned about artificial light that it may be a frustrating an expensive work to get the right amount of light for your plants. On the other hand you get to play for god which is fun as well
Hope this long story helps.