ATLANTA — In the only statewide races on the Georgia ballot Tuesday, voters picked two incumbents for a pair of seats on the Public Service Commission, the panel that sets electricity rates.

The longest-serving commissioner, Stan Wise, and one-term commissioner Chuck Eaton, both Republicans, easily cruised to re-election. Wise faced Libertarian David Staples, a computer expert making his first run for public office. Eaton faced Democrat Steve Oppenheimer, a retired dentist, and Libertarian Brad Ploeger, a computer consultant who ran once before for the legislature but failed to secure enough petitions to get on the ballot.

With three-quarters of the vote counted by 10:30 p.m., Wise had 67 percent to Staples’ 33. And Eaton was also ahead with 54 percent to 41 percent for Oppenheimer, who was a rare challenger to raise more campaign funds than the incumbent. Ploeger, who acknowledged running a shoestring campaign, pulled just 5 percent.

Libertarians poured all their enthusiasm into helping Staples rather than Ploeger. Since there was no Democrat, they hoped they would pick up votes from that party as well as Republicans and independents who thought Wise’s 18 years was too long in office.

But Wise said voters were more concerned about basic electrical service.

“I believe the voters are satisfied with the message I have made all along, reliable, dependable and reasonable rates relative to the rest of the country,” he said. “Georgians are comfortable with the next generation of nuclear power being built in our state. They support my advocacy against federal policies that unfairly add costs to energy bills.”

The challengers talked about renewable forms of energy like solar, wind and biomass while the incumbents, focused their campaigns on party identification in a heavily Republican state and on jobs.

“Once you get outside Atlanta, or more than six blocks from the Public Service Commission offices to be exact, no one asks about solar power or alternative energy. They ask what we’re doing to lower utility rates and bring in new jobs,” Eaton said.

The challengers also attacked Wise and Eaton on electricity rates and their oversight of construction costs at Plant Vogtle, where Georgia Power and other utilities are building the nation’s first two nuclear reactors in 30 years. But pollster and political commentator Matt Towery, CEO of InsiderAdvantage, predicted the challengers found no traction.

“As for PSC, incumbents generally win regardless, and rates have not increased enough yet to cause voters to react negatively,” he said.