Abstract

In this paper, a novel harmonic modeling technique by utilizing the concept of multi-terminal components is presented and applied to frequency scan analysis in multiphase distribution system. The proposed modeling technique is based on gathering the same phase busses and elements as a separate group (phase grouping technique, PGT) and uses multi-terminal components to model three-phase distribution system. Using multi- terminal component and PGT, distribution system elements, particularly, lines and transformers can effectively be modeled even in harmonic domain. The proposed modeling technique is applied to a test system for frequency scan analysis in order to show the frequency response of the test system in single and three-phase conditions. Consequently, the effects of mutual coupling and transformer connection types on three-phase frequency scan responses are analyzed for symmetrical and asymmetrical line configurations.

Highlights

  • Harmonic studies have become an important aspect of electrical distribution system analysis and design in recent years largely due to the increasing presence of solidstate electronic power converters

  • The proposed modeling technique is applied to a test system for frequency scan analysis in order to show the frequency response of the test system in single and three-phase conditions

  • Because of the asymmetric compensation capacitors for the phases, three-phase frequency response becomes different from single phase response on the condition that coupling between lines and/or transformer connection types are taken into consideration in three-phase modeling

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Summary

Introduction

Harmonic studies have become an important aspect of electrical distribution system analysis and design in recent years largely due to the increasing presence of solidstate electronic power converters. When harmonics are present in the system, the models must be realized for each harmonic component, which requires new methods in three-phase harmonic analysis of distribution systems in order to decrease computation time and memory requirement [7]. Only the required columns of the bus impedance matrix which represent those busses supplying nonlinear loads are obtained instead of performing a full inverse. The technique is based on the separation of same phase buses and components into different groups (PGT) so that more understandable models can be constituted and savings in memory use can be obtained. Differing from Grainger, only the required element of the bus impedance matrix on diagonal which represent those busses supplying nonlinear loads are obtained instead of performing a full inverse of the bus admittance matrix [10]. The aforementioned ideas are combined to find a solution for multi-phase frequency scan of asymmetric EDS

Multiphase Distribution System Modeling
Basics of Multi-Terminal Approach for Mathematical Modeling
Mathematical Model of Electrical Distribution System
Proposed Approach
The Line Model
Three-Phase Transformer Model a2 a1
Other Components
Three Phase Frequency Scan Analysis
Conclusions
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