In this chapter we use the fuel-consumption model to formulate the train control problem on non-level track. Once again, an optimal strategy no longer exists. That is, there is no feasible strategy that minimises fuel consumption. We will show that for a given sequence of control settings, there exist optimal switching points that define a strategy of optimal type. This strategy minimises fuel consumption for the given control sequence. We find key equations that define necessary conditions for a strategy of optimal type, and present an algorithm for solution of these equations. On non-steep track an approximate speed-holding strategy is best. On steep track, speed-holding may be disrupted by segments of maximum power around steep inclines, or by segments of coasting around steep declines.
KeywordsFuel Consumption Critical Speed Switching Point Speed Profile Optimal Type
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