As edwin_m says, the power and control system on trains powered by ac OLE has evolved as power components have been developed. The original 25kV 50Hz ac trains in the UK were, the '50s conversions of the LNER/BR 1500VDC EMUs used on the GE Shenfield &Southend Victoria lines*. By interposing a transformer/rectifier set between the pantograph and the contactors controlling the existing DC traction circuits, control of motor power and speed was achieved by resistor banks as before.
New trains provided for the GEML, LT&S and West Anglia lines had tapped secondaries on the ac transformers allowing more efficient control of the traction current without power wastage through heat dissipation in resistors.
The next major development involved the ac/DC class 319s which had a DC bus to feed the conventional DC traction motors, but instead of using conventional camshaft switchgear and resistors, as used on the functionally similar class 455s, they had thyristor controllers which operated the same whether the DC bus was fed by 750VDC 3rd rail of 25kV OLE.
Having set the precedent of a common DC bus on DC 32rd rail/ac OLE EMUs, when more efficient synchronous ac motors became available, the thyristor controllers were replaced by electronic 3 phase inverters that provided controlled variable-frequency ac power and pole switching to control the speed. With various electronic inverter designs, this basic configuration has become standard for ac motored EMUs notably 323s, Networkers, Electrostars, Desiros etc., with features like electroregenerative braking becoming standard on new designs.
*Excepting the ex LMS Lancaster, Morecambe and Heysham EMUs which were converted from 6.5kV 25Hz toevaluate 25kV 50Hz in the UK.