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Inclusion of Frequency Stability Constraints in Unit Commitment Using Separable Programming

Ferrandon-Cervantes, C. J. and Kazemtabrizi, B. and Troffaes, M. C. M. (2022) 'Inclusion of Frequency Stability Constraints in Unit Commitment Using Separable Programming.', Electric Power Systems Research, 203 . p. 107669.


In this paper we address the problem of frequency stability in the unit commitment (UC) optimisation process. We include a set of appropriately defined frequency stability constraints in the UC problem formulation for operational planning scenarios in advance of real-time operation. Consequently, we cover the system against the loss of the largest infeed under the 𝑁 − 1 security criterion.The main contribution of our work consists of using the method of separable programming to incorporate a linearised Frequency Nadir constraint into the UC problem. In our work, the UC problem is formulated as a mixed-integer linear program (MILP). This renders a fast convergence in the solution for a system such as the the three area IEEE RTS-96 system. Meanwhile, we have included the possibility of synthetic inertia provision from the wind farms, which helps to increase the available inertia in the system before a generation outage. The simulations are run using an extended version of MATPOWER tailored for solving UC problems (MOST) which is run in MATLAB.

Item Type:Article
Full text:Publisher-imposed embargo until 17 November 2022.
(AM) Accepted Manuscript
Available under License - Creative Commons Attribution Non-commercial No Derivatives 4.0.
File format - PDF
Publisher Web site:
Publisher statement:© 2021 This manuscript version is made available under the CC-BY-NC-ND 4.0 license
Date accepted:05 November 2021
Date deposited:08 November 2021
Date of first online publication:17 November 2021
Date first made open access:17 November 2022

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