RE: XPS 13 amber battery light always on
Thanks for posting about your battery experience.
According to this article the solid amber light indicates that the battery has failed. I do understand that your results may be somewhat different, but that's what the indicator says.
You don't state in your post how old your battery is, so if it's still under 1 year, it may be under warranty, please call tech support and troubleshoot with them to be sure the charging circuit is functioning normally.
If you're out of warranty, then contact our out of warranty techs support agents, they charge a small fee for diagnosing, and you would have the opportunity to purchase the parts over the phone. More than likely a new battery might be needed sometime soon.