It would take 30 000 of these plants to make up current global consumption ...
Sorry I seem to have missed the bit of the envelope where 'not enough deserts in the world' thing happens.
The bit of the envelope you missed is that these 30,000 plants do not emerge fully formed from nowhere, and not one of the 30,000 plants of that scale has never been observed functioning to understand the non-linear parasitic energy consumption sinks.
Add up the quantity of desert you need to power the manufacturing capability for the factories that built the vehicles that mined the material from which the arrays and subassemblies were fabricated, the desert you need to power the construction and operation of those vehicles, the desert you need to power the manufacturing process of the arrays, subassemblies and transmission systems, the desert you need to build the infrastructure with which roads systems the size of continental US necessary to access and maintain the arrays are built, and the desert required to power all of the other parts of the global, industrialised manufacturing process without which such plants cannot be constructed, and 90% of which you cannot even comprehend such is the extent to which it is so deeply embedded in the current structure of the economy, and the desert necessary to power the process by which you decommission the existing hydrocarbon energy system and expand its electricity based replacement.
That is the *incremental* desert resource necessary to manufacture and utilise your 30 000 plants.
Now you need the incremental desert resource necessary to manufacture the resource necessary to manufacture your 30 000 plants. Then you need the incremental resource necessary to manufacture *that* incremental resource.
Say that took you 30 years. Double whatever quantity you came up with above, because demand has doubled in that period. Double it again for the next 30 year period, because that is what 2% per annum growth rate global energy demand increase actually means.
As you boggle at that recursive, geometric problem, expand your sunny land resource requirement through the dimensions of capital, material and labour.
More succinctly, the bit you are missing is the absurdity of imagining you can replicate the attributes of a dense, instantly available source of energy using a diffuse, intermittent one mediated by a technology which itself is extraordinarily power, material and capital hungry.