Hi mpscarter- I am new on here but have read alot about orchids and might be able to help you out with some advice. Depending on the type of orchid or orchids you have, I have read that many bloom in spring and summer which makes sense since after they bloom they tend to send out new growth from either the top of the flowering plant, or new basal growths from the base.
If you have a deciduous dendrobium then chances are it will bloom in early spring and if its evergreen dendrobium it should be about the same. Most cattleyas bloom in spring or summer as well as do phalaenopsis and many types of hybrids. Some kinds of orchids deviate from the spring/summer blooming habit like epidendrum which can bloom almost any time of year along with some paphiopedilum.
Most orchids will not rebloom from the old spent flowers spike so expect to only see blooms if you have new adventitious growth like new canes on dendrobium or new pseudobulbs on cattleyas. The exception to this is phalaenopsis which can bloom from the old spike, but I have heard that it is better to sever the new bloom spikes to give most plants a short time to rest after blooming. It takes tremendous nutrient and energy stores in order for a plant to bloom on top of extreme amounts of light. The best thing to do to get more flowers and stronger blooms is to give the highest amount of light possible without burning the leaves, stems and bloom spike so the plant has enough energy to maintain blooms. When you see a bloom spike the best thing to do is move it to a high light location, give it a good bloom type fertilizer, water slightly more frequently and give mistings with a spray bottle to raise the humidity and make sure the plant has good air circulation.
Those are general tips for getting plants to bloom with more flowers and stronger longer lasting flowers. I hope this helps you in getting your orchids to bloom.