Within a Ministerial Monarchy, the government is comprised of three governmental bodies, the House of the Monarch, the House of the Ministers, and the House of the Head Ministers. The 3 houses cannot under any circumstances interfere with one another (eg. passing a law to dissolve the other).
The House of the Monarch is a governmental body only containing the monarch, no-one else. The monarch is placed in power by birthright, they can do whatever they want, whenever they want.
The House of the Head Ministers is a governmental body that contains 3 Head Ministers that have been democratically elected by the House of the Ministers. A Head Minister can do whatever they want, whenever they want, but need the support of the rest of the Head Ministers, then the public, weather this is by means of a referendum, a petition, etc.
The House of the Ministers is a governmental body that contains 5 Ministers that have been democratically elected by the public. A Minister can also do whatever they want, whenever they want, but first need the support of the rest of the Ministers, who then need the support of the Head Ministers, who then need the support of the public.
There are also different parties that the Ministers and Head Ministers can join, eg. the People's Party in Greater Princia. Each party has a certain amount of members, all of which can run for Minister or Head Minister. The members that run for Minister need the vote of the public to become one, and the members that run for Head Minister need the vote of the Ministers to become one.
In some Ministerial Monarchies there is also a Prime Minister, who will be in charge of foreign relations, while the monarch only addresses internal issuses.
An example of micronation with a Ministerial Monarchy for a government would be the Principality of Greater Princia