### Abstract

In this paper a novel simple dynamic model is suggested for the dispersion of motorway traffic emissions. The motivation for the research is to develop a model with low computational demand so that it can serve as a basis for a model based controller that is able to keep pollutant concentrations under legislation limits. The dispersion process is characterized as a distributed parameter system (DPS) in which the law of mass conservation holds. The elements of the mathematical model (the assumptions of the initial value problem) are specified using topological considerations, and the boundary conditions originate from the macroscopic traffic emission framework developed by the authors earlier. The developed engineering model, with applying the Gaussian plume model, is transformed to a discrete time nonlinear concentrated parameter state-space model form using lumping and finite difference approximations. For the suggested model a verification and numerical stability analysis is carried out. A sensitivity analysis of the existing motorway control measures (i.e. ramp metering, variable speed limits) is performed to justify the choice of a future control structure.

Original language | English |
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Pages (from-to) | 598-616 |

Number of pages | 19 |

Journal | Transportation Research Part C: Emerging Technologies |

Volume | 58 |

DOIs | |

Publication status | Published - Sep 1 2015 |

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### Keywords

- Control objective analysis
- Distributed parameter system modeling
- Emission dispersion modeling
- Macroscopic motorway traffic modeling

### ASJC Scopus subject areas

- Computer Science Applications
- Management Science and Operations Research
- Automotive Engineering
- Transportation

### Cite this

*Transportation Research Part C: Emerging Technologies*,

*58*, 598-616. https://doi.org/10.1016/j.trc.2015.03.027