EMB-145 Captain reported while descending experiencing bleed 1 low temp EICAS and inflight icing conditions resulting in descending to get out of icing conditions. The Captain was able to land safely at the destination airport.

Narrative

We took off from ZZZ1 uneventfully. On approaching ZZZ at about 6000 feet we encountered moderate to severe rime icing. Ice was accumulating on the heated windshield. ZZZ Approach gave us a descent to about 3000 feet. As the power was pulled back further; we got a notification on the EICAS of 'bleed 1 low temp'; and I knew that the icing system was not meeting the needs of the aircraft. I advanced the thrust levers; as I knew that this was the first requirement of the QRH. Then I told the First Officer my aircraft my Radio's open the QRH to bleed one low temp message. The First Officer followed the directions on the QRH. I increased the thrust lever on the number one side; meanwhile; we were still trying to descend to get out of icing conditions; so I also opened the speed brake. I queried ZZZ Approach where the safe altitude would be for us to descend to and where he knew the icing ended and he cleared us down to approximately 2500 feet and said the icing ended at about 3000 feet. He asked if we would like to request priority handling and at that time I declined. Because we were trying to descend; I was not able to increase the thrust lever to max thrust; as that would've given us a severe differential on the power between the two sides; and additionally; I since had the speed break open; the aircraft gave me the notification that I was increasing the thrust too high with the speed brake out. I prioritized descending to a safe altitude to get out of the ice conditions. Additionally; as my First Officer continued following the QRH; We briefly got the message 'ICE COND-A/I INOP'. The First Officer moved to that page in the QRH; followed the directions; and we were able to exit icing conditions; at which point the message went away. On the ground; I called Maintenance and they basically told me that I did not increase the thrust levers high enough on the side that was indicating low bleed temperature. While on the phone with him; I could not reliably remember what my N2 had increased to; But they told me it had to increase above 83%. Unfortunately; in increasing thrust; we were not able to descend quickly enough; and my number one priority was getting out of icing. Maintenance did not have me write anything up on the aircraft anti-icing system and told me next time I needed to increase the power further.