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Recently, demand for a fast optimization algorithm is becoming crucial, especially for photovoltaic maximum power point trackers (MPPT). Several algorithms are readily available; however, their ability to fast obtain the optimum values is not reasonably fast. In this paper, a modification on the dual tangent optimization algorithm is being suggested. It assumes a parabolic geometry of the power voltage (PV) curve with the onset slightly closer to the open circuit voltage. Instead of reading two consecutive power points on the PV curve each iteration, the proposed algorithm only requires one for an iteration to take place. The algorithm is investigated and compared to the basic algorithm as well as the parabolic curve fitting optimization methods. Results show that the proposed algorithm can reach global maximum faster than later methods with reduced number of iterations. Thus, this algorithm is promising and might be an alternative to methods that require heavy computational resources for online and offline optimization.