The storm brought icy temperatures and strong winds to Texas on Friday, straining the state's power grid and leaving more than 77,000 customers without power.
The outages added political pressure to Abbott, whose administration has long faced scrutiny over its handling of the power grid.
Much of Texas' power grid, managed by the Electric Reliability Council of Texas (ERCOT), is independent from that of the rest of the United States.
Power outages were caused by other factors including damage caused by high winds or challenges faced by smaller power operators, rather than widespread issues with the power grid.
That did not help Abbott, who faced calls to fix the power grid after the 2021 crisis, avoid scrutiny over the power outages as critics said it would still be less severe with a more reliable power grid.
"Just a reminder that @GregAbbott_TX hasn't done a damn thing all year to strengthen the Texas power grid.
Just a reminder that @GregAbbott_TX hasn't done a damn thing all year to strengthen the Texas power grid. »