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performance evaluation of swarm intelligence based power system ...

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sk : current searching pointski': modified searching pointV' : current velocityvk": modified velocityV,k,, : velocity <strong>based</strong> on pbestVgbelt : velocity <strong>based</strong> on gbestFig. 2.1. Concept <strong>of</strong> modification <strong>of</strong> a searching point by PSOFig. 2.2. Searching concept with particles in a solution space by PSOThe equation (2.7) is used to calculate the particle's new velocity according toits previous velocity and the distances <strong>of</strong> its current posltion from its own bestexperience (position) and the group's best experience. Then the particle flies towardsa new position according to (2.8). The <strong>performance</strong> <strong>of</strong> each particle is measuredaccording to a predefined fitness function, which is related to the problem to besolved.The step by step procedure <strong>of</strong> PSO algorithm is given as follows:I. initialize a population <strong>of</strong> particles with random values and velocities withinthe d-dimensional search space. Initialize the maximum allowable velocitymagnitude <strong>of</strong> any particle Vmax. Evaluate the fitness <strong>of</strong> each particle and assign

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