Frankfurt, Germany ? The race is on among the world’s auto companies to make electric cars go farther on a single charge, bring the price down to compete with gas-powered vehicles, and give drivers more places to recharge them than just the family garage.

Electric is the big buzz at the 63rd Frankfurt Auto Show this week, and nearly every major automaker has at least one on display. Renault introduced no fewer than four electric models, while Tesla, the only company producing and selling purely electric cars, handed over the keys to its 700th all-electric vehicle, a blue Roadster Sport, to a German buyer at the show.

If the models unveiled Tuesday are any indication, the notion of electric cars as small, stunted boxes with little range is about to be junked.

“People have realized that … electric vehicles don’t have to be golf carts,” said Diarmuid O’Connell, vice president of business development for Tesla Motors Inc. “They don’t have to be anemic little putt-putts.”

The company’s sleek, two-seat Roadster sells for $101,500 in the U.S. and has a range of 244 miles on one charge. Its planned Model S, which will seat seven and has a 300-mile range, will go for $49,900.

Others automakers, including BMW, General Motors and Daimler, are also developing electric-powered vehicles, including hybrid cars that boast a small gas or diesel engine backed up with an electrical motor, and say the prices will drop as bulky batteries become smaller, faster to charge and easier to replace.

Daimler said it will put its first electricity generating fuel-cell car on the road by the end of this year, the B-Class F-Cell. It will also develop a high-performance electric sports car, its Mercedes-Benz SLS AMG.

Volkswagen AG will put its new E-Up! electric compact into production in 2013. VW did not disclose how much it will cost or when it might be available in the U.S. It said the battery will give drivers a range of around 80 miles.

Analysts expect global production of purely electric cars to expand rapidly in the coming years. IHS Global Insight forecast that it will grow from nearly 9,500 this year to more than 58,000 in 2011.

Electric cars generally run between 40 and 120 miles on a single charge, while taking anywhere from two to seven hours to fully recharge.

Analysts have long contended that a roadblock to the deployment of electric cars has been the lack infrastructure to ensure they can be charged, whether at home, at the office or at stations in the city or along a highway. Building that infrastructure could cost billions and billions of dollars.

Europe is likely to get charging networks faster than the U.S. because of its higher gasoline prices, greater population density and compact size compared with the United States.