Wind gusts to 100km/h and beyond have been recorded throughout the day along the west coast.
Mr Taylor said gusts will persist up to 90km/h in Melbourne on Tuesday afternoon, with the worst weather now expected along the East Gippsland coast.
The winds cut power to more than 77,000 customers during Tuesday.
The hardest-hit areas included Bacchus Marsh, Werribee, Point Cook, Bendigo, Bundoora, Watsonia North, Monbulk, Hawthorn and the Mornington Peninsula.
A spokesman for Powercor said crews are working to restore all services. "It's important for people to remain calm and understand that our crews are running all over the place to all the outages," he said. "We will get to every outage and we will fix them as soon as we can.
"We have outages from Apollo Bay to Werribee at the moment, with some others in the Wimmera, and we are expecting more up there this afternoon."
A woman was hit by bricks from a collapsing wall at Yarraville, an Ambulance Victoria spokesman said. She was taken to Footscray Hospital in a stable condition.
A partly-built wall collapsed at a townhouse development in Brighton East on Monday, killing 30-year-old Tooradin builder Michael Klanja.
Buses replaced trains on parts of the Lilydale and Belgrave rail lines as fallen trees played havoc in Melbourne's east.
The Frankston line was cut in two places - by a fallen tree at Highett and when part of a boom gate arm broke off and was blown across overhead lines at Carrum.
- AAP