A Continuous Frequency Optimization Technique for Power System Harmonic Filter Design

Michael Fisher, A.M. Sharaf

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper the design of power system shunt filters to ensure harmonic reduction and noise mitigation on the electrical utility grid is formulated as an optimization problem. The proposed filter design technique ensures the most economic filter design, and deviates from the common design practise of dedicating specific filters to designated harmonic interfering orders. It is based on the minimization of the L(infinity)-norm, over a specified continuous interfering frequency range, of a composite user specified objective function depicting the three main filter objectives of low harmonic injection into the AC host utility grid, maximum absorption by the harmonic filter and minimum harmonic voltage distortion at the point of common coupling (PCC). In addition to these objectives, near parallel resonance conditions on the combined system/filter configuration are to be avoided. These conditions are included in the formulation of the optimization problem as a functional inequality constraint over the specified continuous frequency range. The problem is approximated by a sequence of optimization problems which are readily solved using standard software packages. A representative filter design problem is solved to illustrate the proposed method.
Original languageEnglish
Pages (from-to)71-86
JournalEngineering Optimization
Volume23
DOIs
Publication statusPublished - 1994

Fingerprint

Filter Design
Power System
Optimization Techniques
Harmonic
Filter
Optimization Problem
Economic Design
Grid
Functional Inequalities
Inequality Constraints
Software Package
Software packages
Range of data
Injection
Absorption
Objective function
Voltage
Composite
Infinity
Optimization techniques

Cite this

@article{9a6656341f714bc6a34100777368da00,
title = "A Continuous Frequency Optimization Technique for Power System Harmonic Filter Design",
abstract = "In this paper the design of power system shunt filters to ensure harmonic reduction and noise mitigation on the electrical utility grid is formulated as an optimization problem. The proposed filter design technique ensures the most economic filter design, and deviates from the common design practise of dedicating specific filters to designated harmonic interfering orders. It is based on the minimization of the L(infinity)-norm, over a specified continuous interfering frequency range, of a composite user specified objective function depicting the three main filter objectives of low harmonic injection into the AC host utility grid, maximum absorption by the harmonic filter and minimum harmonic voltage distortion at the point of common coupling (PCC). In addition to these objectives, near parallel resonance conditions on the combined system/filter configuration are to be avoided. These conditions are included in the formulation of the optimization problem as a functional inequality constraint over the specified continuous frequency range. The problem is approximated by a sequence of optimization problems which are readily solved using standard software packages. A representative filter design problem is solved to illustrate the proposed method.",
author = "Michael Fisher and A.M. Sharaf",
year = "1994",
doi = "10.1080/03052159408941345",
language = "English",
volume = "23",
pages = "71--86",
journal = "Engineering Optimization",
issn = "0305-215X",
publisher = "Taylor & Francis",

}

A Continuous Frequency Optimization Technique for Power System Harmonic Filter Design. / Fisher, Michael; Sharaf, A.M.

In: Engineering Optimization, Vol. 23, 1994, p. 71-86.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A Continuous Frequency Optimization Technique for Power System Harmonic Filter Design

AU - Fisher, Michael

AU - Sharaf, A.M.

PY - 1994

Y1 - 1994

N2 - In this paper the design of power system shunt filters to ensure harmonic reduction and noise mitigation on the electrical utility grid is formulated as an optimization problem. The proposed filter design technique ensures the most economic filter design, and deviates from the common design practise of dedicating specific filters to designated harmonic interfering orders. It is based on the minimization of the L(infinity)-norm, over a specified continuous interfering frequency range, of a composite user specified objective function depicting the three main filter objectives of low harmonic injection into the AC host utility grid, maximum absorption by the harmonic filter and minimum harmonic voltage distortion at the point of common coupling (PCC). In addition to these objectives, near parallel resonance conditions on the combined system/filter configuration are to be avoided. These conditions are included in the formulation of the optimization problem as a functional inequality constraint over the specified continuous frequency range. The problem is approximated by a sequence of optimization problems which are readily solved using standard software packages. A representative filter design problem is solved to illustrate the proposed method.

AB - In this paper the design of power system shunt filters to ensure harmonic reduction and noise mitigation on the electrical utility grid is formulated as an optimization problem. The proposed filter design technique ensures the most economic filter design, and deviates from the common design practise of dedicating specific filters to designated harmonic interfering orders. It is based on the minimization of the L(infinity)-norm, over a specified continuous interfering frequency range, of a composite user specified objective function depicting the three main filter objectives of low harmonic injection into the AC host utility grid, maximum absorption by the harmonic filter and minimum harmonic voltage distortion at the point of common coupling (PCC). In addition to these objectives, near parallel resonance conditions on the combined system/filter configuration are to be avoided. These conditions are included in the formulation of the optimization problem as a functional inequality constraint over the specified continuous frequency range. The problem is approximated by a sequence of optimization problems which are readily solved using standard software packages. A representative filter design problem is solved to illustrate the proposed method.

U2 - 10.1080/03052159408941345

DO - 10.1080/03052159408941345

M3 - Article

VL - 23

SP - 71

EP - 86

JO - Engineering Optimization

JF - Engineering Optimization

SN - 0305-215X

ER -