I am afraid my question was not clear.Iwas referring to a condition where Ltc can be easily put on Hv side but still selected on LV side.As cuky said when Hv side is delta connected probably lv side tap changer will be easier. But in ehv systems Hv side is star connected and always solidly earthed.Of course i remember old industrial customers where going for delta connected Hv systems even when they were drawing power from solidly grounded systems.But modern industial systems seem to have discarded such schemes. But in India, I have seen even in ehv system(110 kv)with delta connection ,utility always go for Hv tap changers.So my question was for star/star trfs only.
Putting Ltc on interior wdg will not reduce voltage stresses.In big trfs for better magnetic symmetry tappings are always provided as a separate winding.In case of HV tappings it will be at neutral end,as outer most wdg and tap achanger will not see much stresses.LV tap changer ask for inner tap winding with consequent difficulties in taking out lead etc,etc.So from mfg angle, design angle,reliability angle Hv tap changers are always better.No doubt manufacturers are capable of providing any requirement.
But from system operation angle any advantage?
HV LTc: HV voltage variation can be done at constant flux in trf. But if LTC is used to get higher lv Terminal voltage it results in variation in flux in core and so change in losses and if excessive, overfluxing in trf.
LV LTC: Opposite condition to above.
I have seen 100 MVA 220/66 Kv trfs star/star with hv or lv tapchanger depending on utility.Some countries go for OCTC on HV side with OLTC on LV side making trf more complicated.