Complex-Array-Operation Newton Solver for Power Grids Simulations

Paolo Maffezzoni,Giambattista Gruosso

doi:10.1109/access.2020.2979775

Paolo Maffezzoni, Giambattista Gruosso

Open Access

https://doi.org/10.1109/access.2020.2979775

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Abstract

This paper presents a robust and efficient technique for performing repeated power flow simulations of power networks. The method relies on a vector-based formulation of the power balance equations combined with a complex-array operation Newton solver. It is shown how the method is suitable for advanced simulations of power grids, such as probabilistic analyses, where a large number of scenarios have to be explored in reasonable simulation times. Applications to benchmark single phase networks as well as to unbalanced three phase grids are provided.

Highlights

Due to the rapid evolution of power transmission/distribution networks within the context of smart grids there is today a renewed interest in developing numerically efficient techniques for power flow simulations
Gruosso: Complex-Array-Operation Newton Solver for Power Grids Simulations which is outlined in Sec
POWER FLOW BASED ON Complex-Array-operation Newton (CAN) SOLVER The simulation method that we propose relies on cartesian coordinates representation of electrical quantities and power balance equations that are solved via Newton-Raphson method implemented via complex-array-operations

Summary

INTRODUCTION

Due to the rapid evolution of power transmission/distribution networks within the context of smart grids there is today a renewed interest in developing numerically efficient techniques for power flow simulations. Some power flow techniques which rely on iterative relaxation solvers are tailored to specific network topologies (e.g. perfectly radial topology) and can exhibit poor convergence or even diverge when applied to general meshed topologies and or in the presence of many voltage-constraining generators [8]–[11] For such reasons, The associate editor coordinating the review of this manuscript and approving it for publication was Zhouyang Ren. in this paper we will investigate the power flow problem in connection with the robust and generally applicable Newton-Raphson (NR) solver [12], [13]. Gruosso: Complex-Array-Operation Newton Solver for Power Grids Simulations which is outlined in Sec. IV, relies on a vector-based representations of the power flow equations and on an original way to implement complex numbers multiplication. VI, the efficiency and robustness of the CAN solver is illustrated by exploring its applications to the power flow analysis of single phase networks as well as to probabilistic simulations of unbalanced three phase grids

POWER FLOW METHODS BASED ON NR SOLVER

POWER FLOW BASED ON CAN SOLVER

APPLICATIONS OF CAN METHOD

Findings

CONCLUSION