Radial basic functions consider the distance of a point with respect to the center. RBF functions have two layers, first where the features are combined with the Radial Basis Function in the inner layer and then the output of these features are taken into consideration while computing the same output in the next time-step which is basically a memory.
the distance calculating from the center to a point in the plane similar to a radius of the circle. Here, the distance measure used in euclidean, other distance measures can also be used. The model depends on the maximum reach or the radius of the circle in classifying the points into different categories. If the point is in or around the radius, the likelihood of the new point begin classified into that class is high. There can be a transition while changing from one region to another and this can be controlled by the beta function.
This neural network has been applied in Power Restoration Systems. Power systems have increased in size and complexity. Both factors increase the risk of major power outages. After a blackout, power needs to be restored as quickly and reliably as possible. This paper how RBFnn has been implemented in this domain.
Power restoration usually proceeds in the following order:
The first priority is to restore power to essential customers in the communities. These customers provide health care and safety services to all and restoring power to them first enables them to help many others. Essential customers include health care facilities, school boards, critical municipal infrastructure, and police and fire services.
Then focus on major power lines and substations that serve larger numbers of customers
Give higher priority to repairs that will get the largest number of customers back in service as quickly as possible
Then restore power to smaller neighborhoods and individual homes and businesses
The diagram below shows the typical order of the power restoration system.
Referring to the diagram, first priority goes to fixing the problem at point A, on the transmission line. With this line out, none of the houses can have power restored. Next, fixing the problem at B on the main distribution line running out of the substation. Houses 2, 3, 4 and 5 are affected by this problem. Next, fixing the line at C, affecting houses 4 and 5. Finally, we would fix the service line at D to house 1.