After enduring plenty of Huddersfield pressure, Chelsea went ahead in the 34th minute when Willian's cross from the left found N'Golo Kante whose mis-hit shot squirted past keeper Ben Hamer.
Chelsea doubled their advantage just before the interval when Marcos Alonso burst into the area and went down under challenge from Christopher Schindler and debutant Jorginho coolly converted the penalty.
A brilliantly constructed counter-attack produced Chelsea's third as substitute Eden Hazard broke from midfield and slipped a perfectly-timed pass to Pedro who beat Hamer with an expert finish.
(Reporting by Simon Evans, editing by Ed Osmond)
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