The question about D33-D42 at Bath Road w.r.t. ATC / AWS has been asked before on a forum somewhere but IIRC it was many moons ago.
I'd suggest their allocation there was more paper to cover maintenance and they were probably in reality outbased LMR engines for work north of Bristol on legacy LMR work over legacy LMR routes, rather than WR loco proper => either no AWS or only BR AWS.
They were allocated there 1961 to 1965/66*** - and when /most/ of them moved away they went not to a specific LM depot but to 'ML' Midland Lines power controller. This move is probably a reflection of what they were doing all the time, a paper change, not a change in duty.
A spin off question might be to what extent, then, 1961/1966 Bath Road did maintenance on them - I bet they might have only done the lighter exams like A and B and Toton or somewhere did C and higher. Not every LM depot did every level of exam, and if they were outbased LM locos the same would apply.
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re. equiping tracks, I suggest having both WR ATC and BR AWS ramps at the same location for the same signal is neither physically practical, nor makes any sense, there is zero need to go from one to both to the other with all the complexications involved. Hence observers may perceive a "sudden" change.
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It is interesting LMR should have had the last WR ATC track routeage inherited from the 1963 changes.
The opposite happened with the 1963 WR / SR regional boundary changes - it forced WR to dual fit locos.
The first BR SR main line to be fully BR AWS equipped was Exeter Central to Pirbright Jn, completed 02/06/63 i.e. it started under SR before the boundary changes. Hence 1964 D800s took over the core passenger trains on the route, a group of D800s D803-821 were dual fitted, back then, before general dual fitting started. That is not to say other D800s did not work the route, there is a huge amount of evidence everywhere they did, in fact every BR D800 is known to have done almost from the start. (There are other reasons, unrelated, why D803-821 were nominated for the route.)
The BR SR AWS roll out started at the country ends of the Exeter and Bournemouth lines working towards London but initially only as far as the then third rail area at Pirbright. There were some electromagnetic compatibility issues needing sorting in third rail areas (in simple terms an EMU constantly running over a DC route magnetises itself into a large magnet sufficient to disturb AWS operation).
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In a visit to Swindon works in 1972 - remember the 14:30 Wednesdays turn up at the gate thing ? while D1000s were still being overhauled - we were told D800s etc summoned to Swindon for component recovery before scrap was not just for Maybach etc parts for D1000s but they recovered their AWS fittings for further use.
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Another WR ATC thing, definitely involving SR, those dual electrified routes with LT 3+4 rail was WR ATC loco kit fouled the LT centre rail. This had some relevance for sections, amongst others, such as Wimbledon / East Putney, then a routine freight, excursion and diversionary route.
Is there any evidence WR ATC hydraulics worked over the Met. route Harrow / Amersham ? I believe not.
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It is always true, start a thread like this, and all sorts of gen pops up, some of it not necessarily obvious.
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*** EDIT
Bristol Bath Raod was the legacy GWR depot, Bristol Barrow Road legacy LMR depot. Might be coincidence but Barrow Road, by then a sub depot of Bath road, closed 11/65 - might it have have been possible D33-42 operated off Barrow Road and only paper allocated to Bath Road for maintenance ? That is a question, not a statement.