Here'a a real-life anecdote regarding the throttling of centrifugal pumps:
Back in the day we used submerged-impeller centrifugal pumps to dewater the pits in the condenser circulating screen houses. The normal duty of these pumps was standby duty to supply open [raw] service water to the coal-fired generating plant, for use when their associated coal-fired generating units were shut down. As a result they usually ran at a discharge pressure of ~ 35 #, nicely within in their design operating envelope.
There was normally no issue with starting these up with the discharge valve wide open, as there was usually enough pressure already present in the system that there was only a brief higher current draw during pump spool-up.
When used for dewatering, however, their normal discharge valve to the plant service water was shut and a lateral discharge valve back into the inlet channel was cracked open only slightly before the pump was started, since at the beginning of the dewatering process there would be essentially zero head applied to the pump [stoplogs had all been installed in the gains, but the water level in the screen pit was still the same as the inlet channel level] and the pump would otherwise trip on overload. Once it was up to speed, the lateral discharge valve was slowly opened further until the pump motor got to rated current; as dewatering proceeded and the head across the pump steadily increased, the current draw would decrease, and the lateral discharge valve was therefore opened still further so as to maintain no more than rated maximum current draw while expediting the dewatering process.
Hope this helps.
CR
"As iron sharpens iron, so one person sharpens another." [Proverbs 27:17, NIV]