Open AccessAlternative linearisations for the operating cost function of UC problems
Author(s) -
Geng Zhaowei,
Conejo Antonio J.,
Xia Qing
Publication year - 2017
Publication title -
iet generation, transmission and distribution
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.92
H-Index - 110
eISSN - 1751-8695
pISSN - 1751-8687
DOI - 10.1049/iet-gtd.2016.1395
Subject(s) - function (biology) , computer science , risk analysis (engineering) , reliability engineering , engineering , medicine , biology , evolutionary biology
The cost of a generating unit as a function of its power output is generally non‐linear and discontinuous. Therefore, the objective function of a unit commitment (UC) problem is generally non‐linear and discontinuous as well. The authors describe two efficient piecewise‐linear formulations of the objective function of an UC problem that are not found in the power literature. These formulations allow representing non‐convexities and discontinuities. They compare these formulations with a common one in the power literature. They show the advantage of the proposed formulations for both deterministic and stochastic UC problems.