The main purpose of the federations as far as the economy is concerned is that they will allow for a sort of transparency between the delegates where every delegate will be able to see the overall picture of the economy as a whole, leading to smarter decision making.
While it's easy to imagine that the delegates will try to steer things only towards the needs of their individual community above all else, it will become very apparent that what is ultimately in everyone's best interests would be to organize things fairly as to keep the economy under control.
Historically during the time of primitive communism, before enclosure happened and feudalism took its toll, peasants who communally owned the land were very intelligent in deciding how to work it, which areas should get how much food, preparing for drought, division of labor e.c.t.
It's reasonable to assume that the delegates would act in the same way.
Especially with how we already have an abundance of all essential material resources, so the delegates can sleep sound that they will get what they need if they cooperate to help all of the other delegates. It would be in their best interest to do so seeing as no single individual or group in an economy can just survive by themselves.
An anarchist society would most likely be much harder to invade than with a state society.
With a state society there is one point of attack in which all political action is processed.
If you can hijack the government in a state-society you've essentially taken over everything, whereas with an anarchist society everyone is already organized in a way where the decentralized nature of it all means that there will never be any single point of attack.
You can't overthrow leaders or governments which weren't there to begin with, and even if you tried to establish them the anarchical society is designed to function without them, so they can simply be ignored in order to stop them from overthrowing.
These governments have power because they hold a monopoly over political decision making and the legitimate use of force and violence, but if this has all been spread out to the anarchist society then these monopolies which are the basis of the state's power won't be there to prop it up.
Even if you somehow "invade a federation", all that would probably mean would be that you've hijacked the building where people were grouping up in the federation.
At worse the current selected administrators for the delegates if they are in the building may be killed or kidnapped, which in that case new administrators would be selected and the federation would be moved elsewhere.
The federation isn't a government, it's just a mode of communication which need not be fixed to any particular area. It can have its location changed very easily if necessary.
In order to make sure that the big and difficult decisions can be dealt with quickly (e.g. how do we regulate the nuclear bombs, provide food and power for everyone, set up transport) these sort of decisions can be decided pre-emtively before the state is overthrown.
The organizations previously responsible for running these services would have to have a large part of them taken over, and the federations and delegates should be planned pre-emtively as-well and then once the state has been destroyed then these new organizations would spread like a virus across the whole society when the armed forces have been disorganized and the private property rights loose their legitimacy.
I think that one of the big misconceptions about anarchism which can be seen in this guy's post…
…is the idea that anarchist think that if the state-government just disappeared overnight then it would work as a shortcut to anarchist-socialism.
No smart anarchist thinks this at least.
An anarchist revolution would probably involve a gradual takeover where people would organize in different areas and build up the structure for a new society while fighting against the current one.
Plans for how to manage big decisions would have to be decided pre-emptively through the already existing delegates and federations, and would be acted on immediately.