Thursday, January 28, 2010

Wednesday@KEMA

We try to solve the problem stochasticly with stationary distributed patterns this morning. We take the expectation of the energy production as our objective function, and reformulate our constraints. Rather than imposing upper bounds for the absolute value of the currents, we require the probability that the absolute value of the currents exceed their upper bounds to be below a certain level. However, we realize that constructing the probability distributions for the currents from the power production and consumption patterns will be difficult, partly because of the correlation of power production at different locations. Another difficulty is that it is questionable that the production and consumption patterns are close to some known distributions (such as Gaussian). Monte-Carlo simulation may provide some useful information, but it could be quite time-consuming.

In the afternoon, we meet Mr. Bloemhof and discuss with him about some of our results and our doubts. We realize that power production can not go beyond the capacity because of the safety issues, so the distributions will not have long tails.

After one day inspirational work, we go to the "Polder" and have some drinks together. The dinner later on are quite good.

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