A final quarter surge by the Power was too much for a youthful Bulldogs line-up, with the Dogs going down by 38-points on Saturday night.
The Power led by just 10 points at three quarter-time but stormed home to win 16.4 (100) to 9.8 (62) at Adelaide Oval.
Port forward Chad Wingard booted three goals, and Jay Schulz and Matthew White two each, in a triumph highlighted by Wines' dominance.
Wines collected a game-high 33 disposals and kicked a goal, while his teammates Wingard, Robbie Gray (20 touches), Brad Ebert (21 possessions, 12 tackles) and versatile Justin Westhoff were prominent.
The Bulldogs, now also with five wins and losses, were superbly served by Jack Macrae (31 touches), Koby Stevens (22 possessions) and Luke Dalhaus (20 disposals) while Jake Stringer and Jordan Roughead slotted two goals each.
But after leading midway through the second stanza, the Dogs were held at bay by a Port side which squared its win-loss record at five apiece.
The Bulldogs dominated the opening 10 minutes and registered the initial four scoring shots - but all were points.
Port then kicked four of the next five goals, including White's brace, before the Bulldogs struck back to be only two points down at quarter-time.
The visitors led midway through the second term when Stringer goaled, but the Power responded with three majors in a row for a 9.3 to 6.5 half-time advantage.
Scoring dried up in a tight third term, the Bulldogs scoring two goals to one to reduce the deficit to 10 points at the last change.
But Port overwhelmed their visitors with a commanding last quarter, unleashing a scoring burst of six unanswered goals to delight the parochial 41,813-strong crowd.
Port coach Ken Hinkley said it was a victory for his side's persistence.
"We have been able to get ourselves back into some sort of form, which is great," he said after banking consecutive wins.
"We have still got some stuff to do ... we are not quite getting four quarters done."
Western Bulldogs coach Luke Beveridge said he felt "a bit empty" to lose by such a margin after three solid quarters.
"It doesn't feel like it should have been a margin like that," he said.
PORT ADELAIDE 5.1 9.3 10.4 16.4 (100)
WESTERN BULLDOGS 4.5 6.5 8.6 9.8 (62)
GOALS
Port Adelaide: Wingard 3, White 2, Schulz 2, Hartlett, Westhoff, S Gray, Wines, Stewart, Monfries, Ebert, R Gray, Boak
Western Bulldogs: Stringer 2, Roughead 2, Dale, Crameri, Stevens, Hrovat, Dickson
BEST
Port Adelaide: Wines, Wingard, Westhoff, Boak, Ebert, Carlile,
Western Bulldogs: Stevens, Macrae, Minson, Grant, Wallis, Stringer
INJURIES
Port Adelaide: Nil
Western Bulldogs: Nil
SUBSTITUTES
Port Adelaide: Aaron Young replaced Karl Amon at three-quarter time
Western Bulldogs: Toby McLean replaced Tom Boyd in the third quarter
Reports: Nil
Umpires: Nicholls, Hoskin, Hay
Official crowd: 41,813 at Port Adelaide Oval
Gutsy Dogs fall short of Power
A youthful Bulldogs line-up has gone down to the Power at Adelaide Oval.