modeling real-time balancing power demands in wind power systems using stochastic differential equations

the inclusion of wind power into power systems has a significant impact on the demand for real-time balancing power due to the stochastic nature of wind power production. the overall aim of this paper is to present probabilistic models of the impact of large-scale integration of wind power on the continuous demand inmwfor real-time balancing power. this is important not only for system operators, but also forproducers and consumers since they in most systems through various market solutions provide balancing power. since there can occur situations where the wind power variations cancel out other types of deviations in the system, models on an hourly basis are not sufficient. therefore the developed model is in continuous time and is based on stochastic differential equations (sde). the model can be used within an analytical framework or in monte carlo simulations.