It depends, but probably not. Usually, you will make estimated tax payments if you expect to have tax due at the end of the year, and, generally speaking, the tax due would be more than $1000 (for Federal taxation). The fact that you are on a fixed income and received a large refund suggests that the estimated payments you made from last year were largely returned to you. In other words, you deposited the money with the Federal Government throughout the year and received it back in the form of a refund. Most economists frown at doing that because it is like giving the government an interest-free loan.
Whether you choose to make estimated payments or not is your choice, but it is very likely that you are not required to do so.
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