NEWTON METHOD BASED ON A WIRTINGER’S CALCULUS FORMULATION FOR THE LOAD FLOW IN POWER DISTRIBUTION GRIDS INTEGRATED TIME-VARYING ZIP LOAD: A CASE STUDY IN VIETNAM

Abstract

Power flow analysis is an important problem in the operation and planning of power systems. The purpose of this problem is to determine the bus voltages, branch power flows, and power losses of power networks. Traditionally, power flow analysis has been performed using the Newton-Raphson method. The traditional Newton-Raphson method solves the nonlinear algebraic equations in the real domain. This paper proposes a Newton method based on Wirtinger calculus to directly solve the algebraic equations in the complex domain. Additionally, the voltage-dependent load model (ZIP load) with time-varying power consumption is also considered in this paper. The proposed Newton method is programmed using the MATLAB language and evaluated on the 102-bus grid of Luc Ngan district, Bac Giang province, in the year 2021. The obtained results show that the bus voltages, power losses, and energy losses calculated from the proposed Newton method have very small errors compared to the traditional Newton-Raphson method.