Sample size estimation in a 3-treatment 3-period crossover study

Hello everybody
I am planning to do a crossover design on one treatment group with three different levels. The group will be exposed to one level of treatment in one time period …then the 2nd and last the third…the measurement will be a continuous one. How can I calculate the sample size for a cross over design
Your help will be highly appreciated

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What is your model of the underlying mechanism (or data-generating process, DGP)?

Actually it is comparison of three types of tooth brush designs on the plaque removal abilities.
Plaque score will be a continuous measurement