Stochastic modelling of distribution networks operation

For purpose of power network operation analysis deterministic methods for load flow calculation are commonly used, for example Newton-Raphson method in its full or simplified version. Method is known for its robustness and is suitable for analyses of HV and MV networks. On the other hand it is less appropriate to model LV networks using solely deterministic methods, since consumption in LV networks is far from being deterministic. In contrary it is highly stochastic. Therefore modeling of LV distribution network should involve combination of deterministic and stochastic methods. Stochastic part must be supported with databases containing suitable amount of accurate data of interest.