Those affected include customers in parts of Durham and Wake counties as well as some areas of Chatham, Orange, and Person counties.
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The North Carolina Utilities Commission last week ordered that new rates for Duke Energy Carolinas customers can take effect starting Wednesday.
The order means residential customers will see a tiny increase on power starting this week.
The typical household will start seeing bills rise by about 84 cents a month from around $104. Residential power bills will increase an extra 1.2 percent after four years.
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But industrial and other customers will see their bills cut by an average of 1.6 percent to nearly 4 percent.
Duke Energy had asked to raise rates by more than 8 percent.
The operating unit of Duke Energy has about 2 million customers.