The 45-year-old singer split from 35-year-old Spanish model Andrés Velencoso last October after five years together.
It was a busy year for the new coach on The Voice Australia, who also parted with her manager of 25 years, Terry Blamey.
Speaking on the Norway chat show, Skavlan, Minogue said: “I spent New Year’s Eve alone, it was one of my best New Year’s actually. No it’s not normal. I have never done it before. If it is the right time for you then I highly recommend it. It was very quiet. I did not do anything special, I did not even have a drink actually.
“Am I sounding very sad right now? I stayed up until midnight and I was happy to be quiet. I actually don’t like too much silence as I think too much but it was meant to be for me. I really enjoyed it. I really reflected on the year as I had known how difficult it had been for many reasons.
“So I wanted to reflect upon that and let those thoughts settle and put some out for the next year. This makes me sound very sensible. I am not normally like this. It was kind of amazing for me to be this organised in my mind.”