The second-seeded Ivanovic, who reached the final at Roland Garros in June, will face either Vera Zvonareva or Victoria Azarenka in the third round later this week.
Zvonareva rallied to defeat Shahar Peer of Israel 4-6, 6-1, 6-4 in her second-round match on Wednesday.
It was Zvonareva's second career win against Peer, who won only 32 per cent of the points on her second serve in the final two sets when she was broken five times.
Azarenka of Belarus beat Russia's Nadia Petrova 6-2, 6-1, in the other second-round match.
Also, France's Tatiana Golovin beat Sorana Cirstea of Romania 6-3, 6-1 in a first-round match, while Switzerland's Patty Schnyder defeated Kateryna Bondarenko of the Ukraine 6-1, 6-3.
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