The Fronde was no more of a revolutionary movement than the Lancastrians were in the wars of the roses; it was fundamentally noble versus noble, with an attempt to tap into popular discontent along the way that nearly got out of hand- and not long after the Thirty Years' War at that.
The Protectorate collapsed because it was always and only an expedient, that the people involved in running it- Cromwell above all- knew was only temporary; the puritan revolution had more or less completely failed to establish a new order on a sound footing. Inheriting, at all, was the best of a bad job, and Richard Cromwell not the man to hold it together.
Christopher Hill is a good historian to chase up about the period; look out for anything on the social background, but above all look for anything on the Putney Debates, the closest thing the new order had to a constitutional convention.
Basically though, if you need Cromwell's sons involved, the revolution's failed and political Puritanism is dead already.