Date: 201905
Local time of day: 1201-1800
Location: ZZZ.Airport, US
Flight conditions: IMC
Weather elements / visibility: Icing; Rain; Turbulence
Light: Daylight
Aircraft: Learjet 60
Operator: Air Carrier
Operating under: Part 135
Flight plan: IFR
Mission: Passenger
Flight phase: Descent
Airspace: Class A ZZZ
ATC / advisory: Center ZZZ
Aircraft component: Generator Drive
Component problem: Malfunctioning
Reporter organization: Air Carrier
Reporter function: Captain
Reporter qualification: Flight Crew Flight Instructor; Flight Crew Instrument; Flight Crew Multiengine; Flight Crew Air Transport Pilot (ATP)
Human factors: Troubleshooting
Anomaly: Aircraft Equipment Problem Critical; Inflight Event / Encounter Weather / Turbulence
Detector: Automation Aircraft Other Automation; Person Flight Crew
When detected: In-flight
Result: Air Traffic Control Provided Assistance; Aircraft Equipment Problem Dissipated; Flight Crew Landed in Emergency Condition; Flight Crew Overcame Equipment Problem; Flight Crew Landed As Precaution
Contributing factors: Aircraft; Weather
Primary problem: Aircraft

Narrative: We were IMC on initial descent in the high 20s or low 30s; between ZZZ and ZZZ1; going through some rain/ice and light; borderline moderate turbulence. The Master Caution flashed so I checked the annunciator panel and saw that both generator lights were on. I called my First Officer's attention to it and told him it looks like we have a dual generator failure and called for the generator fail checklist. I also called Center and [advised them] and requested assistance with weather as we focused on the aircraft. We completed the checklist; which included reducing the electrical load. I only had cabin fans and lights to turn off. With the icing conditions I did not want to risk turning off any anti-ice. The checklist had us press the generator reset buttons; and when we did; both generators came back on line. I confirmed with seeing 28 VDC on the EIS. Shortly after; we got an amber Stab Heat annunciator; showing there was a disagreement and may not be working. We did the Stab Heat light checklist. At some point around then; I don't remember exact timing; we got a white L ENG COMPUTER light and an aural alarm of some sort. We did not know what the alarm was and could not find a way to mute it. We completed the checklist for the engine computer light.In the meantime we were descended further by ATC and ended up in the clear with layers above and below. I turned off the anti-ice after a couple of minutes and addressed my passengers. We still could not determine what the alarm was. Prior to entering the layers below us; I turned the anti-ice back on; and the Stab Heat light did not come on; indicating it was working. With all systems appearing to be working as they should be; I advised ATC that I was expecting a normal landing and [advising them] was more precautionary at this point. We landed without incident and the alarm finally stopped when I turned off the main batteries after engine shutdown. We have since determined the alarm was the SelCal going off; however; I don't know what set it off.




Synopsis: Learjet 60 Captain reported dual generator failure; left engine computer master caution; and intermittent stab heat fail in descent through clouds and icing.