Aggregated Markov Models of a Heterogeneous Population of Photovoltaic Panels

  • Andrea Peruffo
  • Emeline Guiu
  • Patrick Panciatici
  • Alessandro AbateEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10503)


We present a new framework for aggregated quantitative modelling of a heterogeneous population of photovoltaic panels. We are interested in the behaviour of photovoltaic panels as electric power sources, and in an aggregated model that can capture how such a population behaves when connected to the power grid. After an initial analysis of the characteristics and behaviour of a single device, we propose two Markov chain models for the aggregation of a heterogeneous population of such devices. We study the dynamical behaviours of the aggregated models, embedded within the dynamics of the grid frequency. A simulation study shows the effectiveness of the aggregated models when compared to the physical system, and leads to conclude that population heterogeneity is a desirable feature for the overall system dynamics.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Andrea Peruffo
    • 1
  • Emeline Guiu
    • 2
  • Patrick Panciatici
    • 2
  • Alessandro Abate
    • 1
    Email author
  1. 1.Department of Computer ScienceUniversity of OxfordOxfordUK
  2. 2.Réseau de Transport d’ElectricitéParisFrance

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