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"in steady state" is grammatically correct and can be used in written English.
You can use it when describing a situation or system that has reached a stable and unchanging state. For example: "After hours of adjustments and fine-tuning, the machine finally reached a state of equilibrium and was able to operate in steady state." "In order to maintain in steady state, the temperature must be monitored and regulated constantly." "His business had been struggling for years, but it finally reached a point of stability and was able to operate in steady state."
Exact(38)
In steady state operation, ( P_{stab} = 0 ).
Simulations were carried out in steady state.
2) In steady state operation, ( P_{stab} = 0 ). .
In this case, transitional probabilities are calculated in steady state.
In steady state regime, (frac{partial n}{partial t} = 0).
It presents open systems operating in steady state.
Similar(22)
In steady-state theory, it was essential that all the elements could be synthesized in stars.
"In steady-state driving, run at the lowest rpm possible for the conditions," Gerdes counselled.
The head of constant head boundary has also been calibrated in steady-state condition.
Difference in education generates differences in steady-state capital per capita.
The net increase in steady-state firing may thus be relatively small.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com