The Single Diode Model for PV Characteristics Using Electrical Circuit
Mohammed Rasheed, Suha SHIHAB, Taha Rashid
Abstract
A new algorithm of Two-Point Bracketing method based on Newton's algorithm has been developed. The order of convergence of the proposed algorithm is six. Starting with a suitably chosen x_0, this technique generates a sequence of iterations converging to the root. It requires evaluations of only one first order derivatives per iteration. The proposed method is comparable with NRM and does not need an evaluation derivative at the second order of the given function as required in other numerical methods. The efficiency of the technique is tested on a nonlinear equation of a model of a PV cell. It is observed that the proposed method needs lesser number of iterations than NRM.
Topics & Concepts
Bracketing (phenomenology)Convergence (economics)Newton's methodSequence (biology)Nonlinear systemAlgorithmFunction (biology)Point (geometry)Derivative (finance)Computer scienceMathematicsApplied mathematicsMathematical optimizationPhysicsGeometryEvolutionary biologyEconomicsEpistemologyBiologyEconomic growthGeneticsFinancial economicsQuantum mechanicsPhilosophySolar Radiation and PhotovoltaicsPhotovoltaic System Optimization TechniquesExperimental Learning in Engineering