Power flow, Holomorphic Flow, Voltage Stability, Distribution, Simulations
Abstract
This paper presents a novel methodology for power distribution systems voltage stability assessment. In the proposed method, the Holomorphic Embedding Load Flow is implemented based on the introduction of a complex variable to ensure that the algebraic load flow equations are holomorphic functions, meaning that their derivatives can be determined in the complex domain. Then, the operational state, characterized by the voltage phasors for all the system buses, is obtained by non iterative techniques using analytical expansion considering the load flow equations expanded in multipe terms of a Macclaurin series. Based on an unique and deterministic solution, in this work, the holomorphic embedding parameter is varied from the unitary value (associated witht he nominal load condition) until the maximum loadability point. The proposal presents a significant advantage when compared with the traditional continuous load flow method once it does not require the determination of sparse Jacobian matrices and iterative numerical solution methods which are computational time consuming. Computational simulations are carried out using the IEEE 33 bus test system to show the apllicability and performance of the proposed method.
