No making up of fasts and no expiation for one who breaks a voluntary fast

A man fasted on the Day of Ashura, and his work was somewhat heavy, then he broke his fast on that same day. Does he have to make up the fast or pay an expiation? May Allah reward you.
He does not have to make it up, especially if the voluntary fast is tied to a specific day and that day has passed. However, if he was fasting three days of every month, and he fasted one of those days but found it difficult and broke his fast, then he should fast one day in its place in order to complete the three days of fasting.