Controlling electric traction drives for minimum energy wastage

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Controlling electric traction drives for minimum energy wastage

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The inclusion of a gradient load, as a fixed but arbitrary function of distance travelled, is investigated within the design of an optimal controller for electric traction drives. A successful approach is shown to involve (a) the sub-division of a journey into N piecewise constant-gradient stages, (b) the interative solution of the state and costate system equations at each stage transition and (c) the use of general dynamic programming to optimise the overall journey with respect to the initial velocities and subsequent stage times at each transition. Step (b) is achieved utilising a sensitivity model for initial costate iteration based on analytic zero-gradient solutions. The iterative scheme is shown to be stable for all conditions other than large downhill gradients, reverse-time integration being necessary under such circumstances. The minimisation of the combined mechanical and electrical energy losses is advocated and savings from 15 to 25% are demonstrated.

Inspec keywords: optimal control; electric drives; controllers; traction

Other keywords: iterative scheme; optimal controller; minimum energy wastage; electric traction drives

Subjects: Control gear and apparatus; Optimal control; Transportation; Control of electric power systems

References

    1. 1)
      • Y.E. Sahinkaya , R. Sridhar . Minimum-energy control of a class of electrically driven vehicles. Trans. Amer. Inst. Elect. Engrs. , 1 - 6
    2. 2)
      • Kokotovic, P., Singh, G.: `Application of the maximum principle to the optimum control of an electric train', Proceedings of the 3rd Asilomar conference on circuits and systems, December 1969, p. 511–516.
    3. 3)
      • K. Ichikawa . Application of optimisation theory for bounded state variable problems to the operation of a train. Bull. JSME. , 857 - 865
    4. 4)
      • A.R.M. Noton . , Variational methods in control engineering.
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