In the figure shown below, the duty ratio of the buck converter is α and the duty ratio of the boost converter is β. The input voltage of the buck converter is 15 V and the output voltage of the boost converter is 45 V. Which of the following equation satisfy the correct relationship between is α and β?

1
3α + β = 3
2
α + 3β = 3
3
α = 3β
4
3α = β

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