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Analysis Of Three Phase Unbalanced Radial Distribution Networks With Interval Arithmetic

This paper presents the application of interval arithmetic technique to unbalanced radial distribution system power flow analysis. Interval arithmetic takes care of the uncertainty in the input parameters and provides strict bounds for the solution of the problem. In this paper uncertainties in the input load parameters, only are considered. The system line parameters remain constant. In this paper, the fuzzy distribution-based interval arithmetic approach is used to incorporate uncertainty in load demand. The variation of load at the distribution transformer is represented as fuzzy distribution function. It is suggested that the proposed power flow could be useful for planning and expansion planning of radial distribution systems. Computational efficiency of the proposed method is tested on an IEEE 34 bus system; the results are compared with that obtained from repeated load flow simulations. The proposed can easily be modified to incorporate the constant current, constant impedance and exponential load models.