Konta, 27, eased through her opening round match against Pauline Parmentier and it was a similar story against Hsieh.
The British number one was dominant in the opening set as she consistently unsettled her opponent and ended up taking the bagel.
Hsieh finally won a service game on the fifth attempt having been broken in the previous four but she was unable to prevent Konta from securing another easy victory.
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It moves Konta into the third round where she will face the winner of the match between Kiki Bertens and Magda Linette.
It also keeps the Brit on course for a potential meeting with Serena Williams.
In her first two matches Konta has saved an astonishing 22 out of a possible 23 break points.
There was bad news for former US Open champion Sloane Stephens as she was hammered by Stefanie Voegele 6-3, 6-0.
By contrast to Konta’s fluidity Stephens looked totally out of sorts and had no answer to Voegele.
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