Try the Two-button shutdown for Surface Pro
Don’t use this process on Surface RT or Surface 2.
Use this two-button shutdown process to ensure that Surface is turned off completely.
Step 1: Press and hold the power button on your Surface for 30 seconds.
Step 2: Press and hold the volume-up button and the power button on your Surface at the same time for at least 15 seconds, and then release both. (The screen may flash the Surface logo, but continue holding the buttons down for at least 15 seconds.)
Step 3: After you release the buttons, wait 10 seconds.
Step 4: Press and release the power button on your Surface to turn it back on.