STOCHASTIC MODELING OF STREET LAMPS OPERATION

This paper is based on the application of stochastic differential equa tions in simulating the active power consumption in street lamp operat ion, both in transient and steady state. The method worked as follows. Firstly, a collection of about 400 street lamps was measured in the l aboratory. In addition, a theoretical model for the mean power consump tion had been derived. This model was expressed by means of a linear s tochastic differential equation depending on two parameter processes. The aforementioned parameters were then estimated from the experimenta l data and the equations solved numerically leading to a representatio n of the mean active power by means of a stochastic process.