Stochastic processes in a grid-connected three-phase photovoltaic system

Olaoluwapo Ajala, Peter Sauer

Research output: Contribution to conferencePaperpeer-review


With appropriate control algorithms, grid-connected photovoltaic (PV) systems can provide real and reactive power to meet power system needs. However, the intermittency of solar irradiance and the stochastic nature of reactive power demand affect the dynamic performance of these systems. This paper presents a method for stochastic modeling and simulation of grid-connected three-phase photovoltaic systems. The state variables of concern are the real and reactive power delivered to the grid, and the line currents. The objective of this work is to model the statistics of the reactive power demand as a linear stochastic differential equation driven by a wiener process, model the solar irradiance and temperature as random variables, develop a dynamic performance stochastic model of the entire system, and ascertain the time evolution of the first and second moments of the state variables.

Original languageEnglish (US)
StatePublished - Jan 1 2014
Externally publishedYes
Event2014 IEEE Power and Energy Conference at Illinois, PECI 2014 - Champaign, IL, United States
Duration: Feb 28 2014Mar 1 2014


Other2014 IEEE Power and Energy Conference at Illinois, PECI 2014
Country/TerritoryUnited States
CityChampaign, IL

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Fuel Technology


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