EMB-145 flight crew reported while climbing through 7;000 feet; they encountered icing conditions. Moments later they got a stab anti-ice fail message followed by ice condition anti-ice inop. They contacted ATC; descended to 5;000 feet and returned to the airport.

Narrative

On the initial climbout; while climbing through 7000 ft.; we entered icing conditions. About 30 seconds later we got STAB A/ICE FAIL message followed by ICE COND-A/ICE INOP. The First Officer (FO) was flying already so I gave him the radios and ran the QRH. The QRH did not fix the issue and as we were in nearly moderate icing I [requested priority handling] with ATC and stated that we would be returning to ZZZ. They descended us to 5000 ft and we were out of icing conditions and I could see that ice was melting off. Not knowing how long we would be out of icing and with winter weather approaching I wanted to get on the ground as quickly as possible. I knew it would be an overweight landing and ran the QRH for that. After accomplishing the QRH getting set up to land and 2 in 2 out we told ATC we were ready for the approach after one turn in a hold. I took the aircraft for landing and had the FO monitor the vertical speed for touchdown making call outs for the overweight landing (there is a limitation in the QRH of 300 FPM for touchdown on an overweight landing). After clearing the runway I called Maintenance to verify we were good to taxi into the gate and we continued to the gate.