A Microsoft spokerperson confirmed the matter and said details of how customers can obtain a free replacement will be released shortly. The issue reportedly applies to all Surface Pro, Surface Pro 2 and Surface Pro 3 models sold before July 15, 2015. The Surface Pro 4 is not impacted by the issue.
According to the Microsoft statement, if the cords are "sharply or repeatedly bent... [or] tightly wrapped" they are prone to overheating and, as such, could pose a fire hazard. Eligible customers wishing to obtain a replacement will, as of Friday, be directed to a specially constructed website, where they can order one. Affected customers will also be advised to dispose of or recycle their existing power cords safely and in accordance with local regulations.Details on how many devices are impacted by the issue aren't available yet, but likely it's in the hundreds of thousands.
A Microsoft spokesperson issued the following statement regarding the matter: "As a result of damage caused by AC power cords being wound too tightly, twisted or pinched over an extended period of time, a very small proportion of Surface Pro customers have reported issues with their AC power cord. We will be releasing details of how customers can obtain a free replacement cable shortly."