Optimization Algorithm for Selective Compensation in a Shunt Active Power Filter

This paper proposes an optimization algorithm based on linear matrix inequalities (LMIs) to be implemented in a shunt active power filter (SAPF) enabling it to perform a selective compensation of nonefficient powers when the rated power of the SAPF is limited. The system uses the IEEE Standard 1459...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on industrial electronics (1982) 2015-06, Vol.62 (6), p.3351-3361
Main Authors: Alfonso-Gil, Jose Carlos, Perez, Emilio, Arino, C., Beltran, Hector
Format: Article
Language:English
Subjects:
Active filters
Active Power Filter
Algorithms
Bypasses
Compensation
Feedforward
Harmonic analysis
IEEE standards
IEEE Std. 1459
Indexes
Linear matrix inequalities
LMI Algorithm
Mathematical analysis
Optimization
Power harmonic filters
Proposals
Selective compensation
Shunts
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper proposes an optimization algorithm based on linear matrix inequalities (LMIs) to be implemented in a shunt active power filter (SAPF) enabling it to perform a selective compensation of nonefficient powers when the rated power of the SAPF is limited. The system uses the IEEE Standard 1459 to identify the different power terms (active, reactive, unbalance, and harmonics) demanded by local loads in a three-phase four-wire system. Then, the algorithm solves a quadratically constrained quadratic program by means of an LMI formulation and calculates the optimal reference currents that allow the SAPF to cancel a selection of the previously identified nonefficient power terms. For this selection, the algorithm presents different weighting coefficients in the cost index to be optimized. These coefficients assign a relative importance to each different nonefficient power term, giving priority to some over the others. Moreover, the optimization performed in this work to calculate the reference currents considers that the SAPF presents a power limitation. Finally, the reference currents' tracking has been implemented using a proportional feedforward controller which assures a constant commutation frequency of the SAPF. Experimental results demonstrate the validity of the proposal.
ISSN:0278-0046
1557-9948
DOI:10.1109/TIE.2014.2378751