4.2. Constraints

  1. Task satisfaction :
    It is the first constraint in the regional energy system. The total energy supplied by the sources should be equal to the energy requirements of the tasks. If Uj is the (useful) energy requirement of task j (based on field data collected from various surveys) and Xijk the quantity of energy obtained from source ‘i’ via device ‘k’ for task ‘j’, then

    Xijk = amount of end use demand supplied for jth task (through kth device by an ith source); hijk = efficiency; Ri = energy equivalent of ith source.

  2. Availability of local resources: There is an upper limit on the availability of local resources. Therefore, the total amount of a particular resource consumed for various tasks should be less than or equal to the corresponding maximum value. For ith resource if Ei max is the maximum energy available, then
    whereM0 (less than M) be the number of local energy resources and the subset of the set M of all energy resources (that is, i = 1, . . ., M0 and M0 M). This constraint also takes into account the limited availabilities of some of the local resources. If M00 is the subset of these resources having limited availabilities, Ri is the maximum energy available from source i (ieM00)

  3. Non-negativity:

    All Xijk values must be non-negative

  4. Power requirements :

    The fourth constraint is that some tasks have definite power requirement. The constraint imposed by the rate of energy use (power) should also be considered in regional energy planning. If Pijk is the power required for handling the jth task supplied by ith resource via kth device, then the maximum rate of energy use expected of ith resource Pi is