Interval load flow solution for systems with uncertainties

The common formulation of the power flow problem has all the input data specified at a specific time and conditions with fixed values. However, these data are approximate and do not take the measurement errors in transmission line and variation in load demand into consideration. This paper addresses the problem of uncertainties in the input parameters by specifying them as compact intervals. The nonlinear system of interval equations are linearized and the solution is obtained by the Krawczyk's method of interval arithmetic. The proposed methodology is implemented in Matlab environment using the Intlab toolbox. The method is applied to 3 bus, 14 bus and 30 bus IEEE test systems. The results obtained are bounded and contain the results obtained by the conventional methods with the input parameters as crisp values.-systems and the results obtained are bounded.