Entirely Harmonic Domain Calculation of Multiphase Nonsinusoidal Steady State

Abstract

This paper proposes an algorithm for obtaining the periodic steady-state solution of a multiphase network including nonlinear, switching, and frequency dependent elements. Unlike existing methods which deal with nonlinear and switching elements in the time domain, the approach presented is entirely in the harmonic domain. The method will be used for the harmonic analysis of power systems and for steady-state initialization in electromagnetic transient analysis. The algorithm takes rigorously into account the inter-harmonic couplings in the Jacobian matrix of the proposed Newton-Raphson iteration process so that a quadratic convergence rate is achieved. Linear, nonlinear, switching, and frequency dependent elements are modeled in a modular approach, and any network topology can be handled by extending the Modified Nodal Equations approach to the harmonic domain case. First the algorithm is described and then applied to a test case to demonstrate its computational performance.

Data‐driven robust extended computer‐aided harmonic power flow analysis

“…The high uptake of power electronic‐based loads in electricity distribution systems has necessitated the development of harmonic assessment tools and their improved versions in recent times [1–6]. Some of the methods have been extended to study the network operating conditions in the presence of harmonic pollutions [7, 8].…”

“…Harmonic power flows with the aim to overcome the described challenges have been attempted by other researchers. However, as noted in the literature, much attention has been devoted to the low‐voltage (LV) networks [8, 21, 22] and the transmission levels [4, 19, 23]. According to [21], only few studies have focussed on the MV level of distribution systems.…”

Interfacing transient stability and extended harmonic domain for dynamic harmonic analysis of power systems

“…In [5], a real‐valued unified Newton method is introduced which considers both linear and non‐linear elements represented in FD. A harmonic domain (HD) technique, which is based on Fourier series, is reported in [6] where interharmonics are taken into account by a Newton‐type procedure. In [7], an extension of the HD technique to solve multi‐frequency multi‐phase power flow algorithm is proposed.…”

Quantitative Evaluation Of Actual Loss Reduction Benefits of a Renewable Heavy DG Distribution Network

“…This is unlike the phasor analysis which projects all the harmonic components onto a single plane. This reference frame which is capable of assessing the harmonic crosscouplings have been used by different authors including [20] and [22].…”

“…In [22], the authors applied the AHD technique for calculating the rms voltages and currents for a test transmission network. The AHD was combined with the MNA approach.…”