Distribution System

an imaginary system has an imaginary solution.

In real systems, there are economic dispatch algorithms, along with operational constraints to handle the solution.

This doesn't sound like homework to me. But I'm a little confused. We have smart power meters that interrupts only the air conditioning using a program the utility calls load sharing. And if the solar system can not support it, then the method of signaling the air conditioning control circuit must also include some signal that normal power is present.

Is this the condition you described?

one of the troubles with the world is that we overburden our loads with intelligence and outsmart our needs with too much smartness . . .

have we forgotten simple relay logic for small cycling and sequencing? which can even be written into a ladder on any small programmable controller?

the second big problem with the world is that we do not trust our own technologies and keep building redundancies instead of working on reliability . . .

the third big problem with the world is that nobody listens to good advice anymore . . .

the fourth big problem with the world is that we imagine too many hypothetical problems to avoid the real problems . . .

To start with, your power sources are wired backwards, The Nuclear power should be available during peak demands and use Solar during off peak demands.Then use your UPS to run the back-up systems for the Nuclear Plant during an Earth Quake and subsequent ∞Tsunami flood.

This is a homework in phantasyland. Only there is thermal and nuclear separate source available, with solar and traditional gen backup. Various and sundry battery sets were underemphasized, but they had to be there for completeness.

This is the never-never land of academia. Forget the question as posed, technically. If you really need it, do a tariff tradeoff calculation. Technically it is insane.

i had a similar query once from a market research bureau working on a project for a meter manufacturer . . .

i had asked them whether a standby ups is also required in case the main ups fails?

they did not come back . . .