Abstract :
The ECO4 (Ecology, Economy, Efficiency and Energy) mode involving energy-saving methods could be divided into two parts, one is general dispatching decisions based on trains running, another is trains themselves structure optimization improvements. By the Hamilton function and Hopfield energy function définitions and representations, it raised the mathematical relationship that saving energy is equal to saving coefficients multiplied by original consumption weight values. It constructed the mathematics model of independent and related coupling coefficients, and by Kuhn-Tucker theorem and Lagrange multiplier methods, energy-saving classifiy hyperplanes were built. It allocated energy-saving coefficients of input sample space which could be mapped to hyperplanes feature space. According to convex quadratic programming calculation method, maximum energy saving rates could be figured out. Using simulation tool EnerGplan, it builded an virtual trains transportion system contained single and multiple electrify tracks and multiple point monitors. By monitoring the dynamic energy loss status of power supply net, it could test and verify the validity of all schemes selected.
Keywords :
convex programming; energy conservation; quadratic programming; railway electrification; ECO4-based modeling; EnerGplan simulation tool; Hamilton function; Hopfield energy function; Kuhn-Tucker theorem; Lagrange multiplier methods; convex quadratic programming calculation method; dynamic energy loss monitoring; ecology-economy-efficiency and energy mode; general dispatching decisions; hyperplane feature space; multiple point monitors; power supply net; related coupling coefficients; structure optimization improvements; train synthetical energy saving optimization method; virtual train transportation system; Biological system modeling; Companies; Couplings; Educational institutions; Electronic mail; Monitoring; Optimization; Coupling Constraint; EC04; Lagrange multipliers; Saving Coefficients; hyperplanes;