Volume 18, No. 2, 2021
An Interval Arithmetic-Based Methodology For Reliable Power Flow Analysis With Of Data Uncertainty
G. Sandhya Rani , T. Srinivasa Rao
Abstract
In this research paper, the authors have developed an Interval Improved Fast Decoupled Power Flow (IIFDPF) algorithm to address data uncertainty in load and generation for power systems. The algorithm utilizes Interval arithmetic-based techniques and solves the Interval power flow method. The objective of this study is to handle uncertainties arising from measurement errors by accurately modeling load and generator bus data. To achieve this, the authors incorporate Interval arithmetic-based techniques into the IIFDPF algorithm, which enables the treatment of bus data uncertainty. The algorithm employs Interval Newton's method to solve the nonlinear model and two sets of linear Interval equations, namely the decoupled active power (P) and reactive power (Q) equations. In each iteration, the algorithm updates the voltage angle and bus voltage using different strategies, and the Newton operator is utilized for solving these equations. The proposed method demonstrates faster convergence and saves computing time compared to traditional probabilistic Monte Carlo methods. To validate the effectiveness of the proposed method, the authors conducted tests on IEEE-30, 57, and 118 bus systems. The results obtained from the proposed method were compared with those obtained from the traditional probabilistic Monte Carlo method. The comparison confirmed that the proposed method achieved faster convergence and validated its effectiveness. Additionally, the authors discussed the drawbacks of existing interval power flow methods in the paper.
Pages: 2920-2938
Keywords: Load Flow Studies, Y-matrix and Z-matrix iteration, Newton-Raphson method, Fast decoupled method, Fuzzy logic, Interval arithmetic, Probabilistic methods.