Optimal distributed power generation under network load constraints

In electrical power networks nowadays more and more customers are becoming powerproducers, mainly because of the development of novel components for decentral power generation (solar panels, small wind turbines and heat pumps). This gives rise to the question how many units of each type (solar panel, small wind turbine or central heating power units) can be inserted into any transmission line in the network, such that under given distributions on the typical production and consumption over time, the maximum loads on the lines and components will not be exceeded. In this paper, we present a linear programming model for maximizing the amount of decentral power generation while respecting the load limitations of the network. We describe a prototype showing that for an example network the maximization problem can be solved efficiently. We also modeled the case were the power consumption and decentral power generation are considered as stochastic variables, which is inherently more complex.