DOAJ Open Access 2022

Accuracy study of linearization methods for quadratic cost curves of thermal units in unit commitment problems

Jizhe Dong Yuanhan Li Yu Lu Shunjie Han

Abstrak

Abstract To solve the unit commitment (UC) problems with efficient mixed‐integer linear programming solvers, the quadratic cost functions (QCFs) of thermal units are always approximated to piecewise linear (PWL) functions. This study examines the accuracies of different approximation methods for piecewise linearizing the QCFs of units in UC problems. We use five piecewise linearization methods—evenly spaced PWL interpolation, evenly spaced PWL tangent, evenly spaced PWL–ɛmax/2 shifted interpolation, tighter PWL interpolation, and evenly spaced PWL least‐squares fit—to approximate the QCFs of units. The authors first perform a series of reproductivity studies to verify the program. Then, numerical tests are conducted using different methods on the systems with 10, 100, and 800 units. The results show that different approximation methods lead to considerable differences in operating costs and the tighter PWL interpolation, compared with the other methods, is preferred in terms of approximation accuracy.

Topik & Kata Kunci

Distribution or transmission of electric power Production of electric energy or power. Powerplants. Central stations

Penulis (4)

Jizhe Dong

Yuanhan Li

Yu Lu

Shunjie Han

Format Sitasi

APA MLA BibTeX

Dong, J., Li, Y., Lu, Y., Han, S. (2022). Accuracy study of linearization methods for quadratic cost curves of thermal units in unit commitment problems. https://doi.org/10.1049/gtd2.12434

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Informasi Jurnal

Tahun Terbit: 2022
Sumber Database: DOAJ
DOI: 10.1049/gtd2.12434
Akses: Open Access ✓