Check the bottom of your stand for the correct model number. Here's a new power supply for the A1316: http://www.ebay.com/itm/New-250W-Power-Supply-614-0487-PA-3251-3A-For-iMac-27-A1316-LED-Cinema-Display/162595490404?ssPageName=STRK%3AMEBIDX%3AIT&_trksid=p2060353.m1438.l2649
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'''UPDATE'''
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Apple 27" Display Thunderbolt A1407 250W Power Supply Board P/N 614-0496
Check the bottom of your stand for the correct model number. Here's a new power supply for the A1316: http://www.ebay.com/itm/New-250W-Power-Supply-614-0487-PA-3251-3A-For-iMac-27-A1316-LED-Cinema-Display/162595490404?ssPageName=STRK%3AMEBIDX%3AIT&_trksid=p2060353.m1438.l2649