Playing too fast is a sign that you are focusing on the notes rather than the music. That is your motor reflexes are taking over the performance rather than your listening and interpreting head.
As others mentioned, adrenaline might speed up your "flow". Try breaking up its effect by being comfortably below your limits and varying the tempo consciously, focusing on every note an its role in the melody. Play only one hand and let the other hand play in your head, and at very leasurely pace, making sure everything fits nicely and musically together. Then change hands and do the other.
Be sure you get to the point where you can enjoy the one-handed-one-headed performances and make them sound nice. Place the notes on a canvas of sound rather than letting them run off. Anticipate the sequences of notes in a run and let them develop.
A good painter can sketch a scene with just a few flourishes and fill in detail afterwards, and the flourishes still take the necessary room on the canvas without crowding everything else in right away. It's actually harder to start with the detail right away: you need a good picture in your head to make that work.
Instruments with continuously controlled tone production like bowed strings or most wind instruments offer more opportunity to "make time" by letting notes develop on their own. The piano is a bit harder in that respect, but you can involve your body (to the degree of some swaying/rebalancing in line with the phrases your are doing) to some degree and there are also things like "key vibrato" that connect time and execution. But the main thing is that you need enough of your listening head to enjoy the music yourself and work on detaching it from the focus taken by the playing: it is a common problem that particularly the long notes are becoming too short and don't fit in the flow of music because the time is more apparent to the player when he is "idle".
So don't be idle. If really necessary, play a phrase or echo or counterpoint or something in your head during particularly long notes.