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Flushing Meadows, NY (Sports Network) - Former world No. 1 Caroline Wozniacki and former Wimbledon champion Petra Kvitova were a pair of opening-round winners Tuesday at the 2013 U.S. Open.

The sixth-seeded Dane and 2009 U.S. Open runner-up Wozniacki topped Chinese Duan Ying-Ying, 6-2, 7-5, while the seventh-seeded Czech slugger Kvitova got past Japanese fellow left-hander Misaki Doi in three sets, 6-2, 3-6, 6-1, in 1 hour, 55 minutes on a warm, breezy Day 2 at the USTA Billie Jean King National Tennis Center.

"In the first round of Grand Slams it's difficult all the time so you have to be focused," Kvitova said. "I didn't play my game all the match. I didn't have focus. I have to have more confidence."

Kvitova, who captured Wimbledon in 2011, has never made it past the fourth round in New York. Her second-round opponent on Thursday will be capable Serb Bojana Jovanovski.

Meanwhile, 10th-seeded Italian Roberta Vinci, a U.S. Open quarterfinalist a year ago, handled Hungarian Timea Babos, 6-4, 6-2, 13th-seeded former world No. 1 and former French Open champ Ana Ivanovic, also a 2012 quarterfinalist in Flushing, pasted Georgian Anna Tatishvili, 6-2, 6-0, and 14th-seeded Russian Maria Kirilenko mauled Belgian Yanina Wickmayer, 6-1, 6-1.

In other action involving seeds, Israeli Julia Glushko doused No. 20 Russian Nadia Petrova 6-3, 6-4; No. 22 Russian Elena Vesnina drilled German Annika Beck 6-1, 6-1; No. 26 Alize Cornet, of France, downed Portuguese Maria Joao Koehler 6-3, 6-2; and Taipei's Su-Wei Hsieh knocked out No. 31 Czech Klara Zakopalova 6-3, 6-3. The one-time world No. 3 Petrova has dropped her last six matches on tour.