Sorry should have specified, it happens at a stand still. Not so much in motion.
If you're inside the garage and someplace quiet, open the hood and listen to the motor/powermaster while this pulsation is happening.
From the sound of your description is sounds like the the powermaster motor/pump might be clicking on and off. If so, this needs to be corrected immediately lest you burn up the motor and cause a very expensive issue. My experience has taught me that with the pump clicking on and off, this is usually caused by a faulty pressure switch. Assuming that's what's happening.
I had the same issue a couple months back. Sitting at a traffic light felt a faint pulse in the pedal en route to work. After driving around for about 20 mins at lunch time, pulled into a parking spot and the brake pedal went straight to the floor. Had to damn near push it into the engine bay to stop before running into the work van in front of me. Turns out the powermaster motor took a dump.
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To chime in I am not sure if I have the same situation.. I do not really feel a pulse in the pedal.. but there is a noticeably audible clicking sound( maybe its the pulsation and I can't feel it) that i hear when i have the brakes applied, seems to increase in frequency of the clicks the harder i push the brake. Its noticeable enough that at a stop light my wife asked what was clicking. Thoughts?
Best source for this switch?
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KIRBANS