Repeated peeing sensation is usually seen in cases of urinary infection or prostate inflammation.
Urinary infection is almost ruled out by the urine tests.But prostate inflammation cannot be diagnosed with urine tests, in fact it is very difficult to diagnose prostate inflammation on paper.Only the symptoms can be attributed to it if all other tests are negative.
Usually it can be treated with anti -inflammatory drugs and medications to decrease the urinary sensation.
Most commonly solifenacin and tolterodine can be taken to reduce the constant peeing sensation.Drink water as required and don't drink too much.More you drink more urine you form and hence more number of times you pee.
A short course of medications may correct the problem gradually without much trouble.
If it still persists then you have undergo an ultrasound of the kidneys
and the bladder
to see for other causes like stones and masses.
Till then most probably it is a temporary problem which will subside.
Try to avoid smoking till this recovers.
I hope this answers your question.