Abstract
A simulation tool for modeling harmonic propagation in low voltage distribution networks with manifold nonlinear equipment is developed. The tool is based on a hybrid domain approach representing each nonlinear household device with accurate and fast white box model and the supply network - with the harmonic admittance matrix in the frequency domain. Proposed tool features significant reduction of simulation time compared with the brute force time domain (BFTD) simulation, high level of accuracy as opposed to the traditional frequency domain methods, and improved convergence under weak grid conditions in respect to conventional iterative harmonic analysis. Eventually this preconditions the use of the proposed approach in computationally intensive simulations, e.g. in stochastic harmonic modeling with the Monte Carlo method. Additionally two application examples of the developed tool are provided demonstrating its effectiveness compared to the BFTD modeling.
Highlights
N ONLINEAR household appliances increase their share in total energy consumption of low voltage (LV) residential networks with the rapid development of semiconductor technology and penetration of renewable energy systems
This paper proposes the solution of ordinary differential equations (ODEs) system (10)–(12) with the Trapezoidal Method of Integration (TMI) instead of the brute force time domain (BFTD) model in [20]
The Limit Cycle Time Domain approach (LCTD), TMI and Harmonic Domain (HD) approaches adopted in this paper for individual harmonic models in the previous section feature accurate representation of harmonic behavior and at the same time provide significant reduction of simulation time compared to time domain (TD) methods
Summary
N ONLINEAR household appliances increase their share in total energy consumption of low voltage (LV) residential networks with the rapid development of semiconductor technology and penetration of renewable energy systems. The calculation of these matrices presents a certain complexity and is not suitable for large-scale harmonic analysis Despite of these recent developments, commercial software as well as harmonic penetration studies [15], [16] still utilize the simplest and the fastest FD current source approach as the main methodology for network harmonic simulations. The diverse types of considered devices, ease of adding models of newer types of equipment to the simulation, capability to account for manifolds of devices within households, and improved method convergence guarantee a realistic and up-to-date representation of harmonic levels in permanently developing LV residential grids This makes the proposed simulation tool potentially implementable into harmonic impedance studies, including harmonic resonance assessment or filter design; estimation of harmonic induced effects like additional losses in cables and transformers; and stochastic modeling of random harmonic levels based on e.g. Monte Carlo Markov Chain approach.
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