COLUMBUS, Ohio (WCMH) — AEP, the power company that supplies electricity to a large part of central Ohio, said it expected all customers to have their power restored by Thursday morning.

In a news release Wednesday, AEP said crews made “significant progress” repairing damaged lines that bring the power into the Columbus area. With those lines repaired, the company said it would be able to start restoring power to substations and customers in the Columbus area.

Some people, though, reached out to NBC4 after 5 a.m. to say they were still without power. As of 8 a.m. Thursday, AEP’s outage map showed more than 30,000 customers remained without power, nearly 4,000 of them in Franklin County.

The company said that while it cannot anticipate outages, it expects that even with the high temperatures forecast for Thursday, the power grid in the Columbus area should “operate as it normally would.”

The full statement from AEP reads:

Crews have made significant progress repairing damage to the transmission lines that bring energy to the Columbus area. These repairs will allow our team to begin restoring power to substations and customers in the Columbus area beginning in the early morning hours. We expect that all customers who were impacted by the emergency outage will have their power restored by 5 a.m. on Thursday, June 16.

We expect that these repairs will allow the power grid in the Columbus area to operate as it normally would, even as temperatures rise. We will continue to monitor system performance throughout the day and provide any updates as needed.

The forecast for Thursday includes high temperatures and the possibility of severe weather in the early evening hours. We do not know what, if any, impacts the weather may bring, but we have crews ready to work on any outages that might occur.

To track power outages in the area, view AEP Ohio’s outage map below:

As of 10:30 a.m., Thursday, AEP reported more than 30,000 customer outages in the state with nearly 3,000 in Franklin County. AEP says those customers are in Franklin County are in the northern part of Columbus, and crews are working to repair damage to a distribution line in the area. They hope to have most customers restored early Thursday afternoon.