Efficient Drive Cycle Simulation
Drive cycle simulations of longitudinal vehicle models is an
important aid for design and analysis of power trains, and tools on
the market today mainly use two different methods for such
simulations, forward dynamic or quasi-static inverse
simulation. Here known theory for stable inversion of non linear
systems is used in order to combine the fast simulation times of the
quasi-static inverse simulation with the ability of including
transient dynamics as in the forward dynamic simulation. The stable
inversion technique with a new implicit driver model together form
a new concept, inverse dynamic simulation. This technique is
demonstrated feasible for vehicle propulsion simulation and
specifically on three powertrain applications that include important
dynamics that can not be handled using quasi-static inverse
simulation. The extensions are engine dynamics, drive line dynamics,
and gas flow dynamics for diesel engines, which also are selected to
represent important properties such as zero dynamics,
resonances, and non-minimum phase systems. It is shown that inverse
dynamic simulation is easy to set up, gives short simulation times,
and gives consistent results for design space exploration. This
makes inverse dynamic simulation a suitable method to use for drive
cycle simulation, especially in situations requiring many
simulations, such as optimization over design space, powertrain
configuration optimization, or development of powertrain control
strategies.
Anders Fröberg and Lars Nielsen
IEEE Transactions on Vehicular Technology,
2008
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