Widebody; Low Wing; 3 Turbojet Eng
Flight Crew Air Transport Pilot (ATP)
Confusion; Distraction; Situational Awareness
Aircraft Equipment Problem Less Severe
General Maintenance Action
Aircraft
While on descent into Tulsa in light winds; received a windshear warning well above 1;500 feet AGL when system is supposed to be active.  No other indications of windshear.  Winds 25 knots at 3;500 feet and approximately 5 knots on ground.   First Officer and I quickly discussed we thought it was erroneous and continued to landing Tulsa.  Got slightly low on approach attempting to get airplane out of windshear mode; however stable by 500 feet.  Though there were thunderstorms 25 miles south of field; we were in clear weather; no turbulence; light winds and in our opinion the system did not work properly.  A maintenance log entry was made. I believe system was not working correctly.
An air carrier aircraft alerted a Windshear Alert at 1;500 feet in light winds while on approach to TUL but it was ignored as an erroneous alert.