Cutting plane approaches for frequency constrained economic dispatch problems

Cardozo, Carmen; Ackooij, Wim van; Capely, Laurent

doi:10.1016/j.epsr.2017.11.001

Cited by 21 publications

(9 citation statements)

References 32 publications

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“…Directly accounting for frequency related constraints in UC models can be done through a very simplified version of the differential equation system governing the loss of frequency following a contingency (e.g., [499]); we refer to [95,98] for a thorough account of different approaches and extensive tests. A more precise approach can also be designed, albeit under some theoretically hard to verify assumptions [97]; the resulting UC models can be solved by Benders-like scheme [96] exploiting the convexifying effect of Lagrangian relaxations [296].…”

Section: System-wide Constraintsmentioning

confidence: 99%

Large-scale unit commitment under uncertainty: an updated literature survey

Ackooij¹,

et al. 2018

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The Unit Commitment problem in energy management aims at finding the optimal production schedule of a set of generation units, while meeting various system-wide constraints. It has always been a large-scale, non-convex, difficult problem, especially in view of the fact that, due to operational requirements, it has to be solved in an unreasonably small time for its size. Recently, growing renewable energy shares have strongly increased the level of uncertainty in the system, making the (ideal) Unit Commitment model a large-scale, non-convex and uncertain (stochastic, robust, chanceconstrained) program. We provide a survey of the literature on methods for the Uncertain Unit Commitment problem, in all its variants. We start with a review of the main contributions on solution methods for the deterministic versions of the problem, focussing on those based on mathematical programming techniques that are more relevant for the uncertain versions of the problem. We then present and categorize the approaches to the latter, while providing entry points to the relevant literature on optimization under uncertainty. This is an updated version of the paper "Large-scale Unit Commitment under uncertainty: a literature survey" that appeared in 4OR 13(2), 115-171 (2015); this version has over 170 more citations, most of which appeared in the last three years, proving how fast the literature on uncertain Unit Commitment evolves, and therefore the interest in this subject.

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Section: System-wide Constraintsmentioning

confidence: 99%

Large-scale unit commitment under uncertainty: an updated literature survey

Ackooij¹,

et al. 2018

Self Cite

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“…Authors, such as [15], proposed two dynamic frequency constraints: one for the maximum RoCoF and a second for the minimum frequency (nadir) but using a very simplified model of the system. The second main way to implement an FCUC is with a more precise focus, as in [16] or [17]. Ref.…”

Section: Introductionmentioning

confidence: 99%

“…Ref. [16] improves existing solutions (by means of including security constraints either indirectly or empirically defined) with respect to limiting the risk of UFLS. While the master problem handles the UC binary variables, the rest of the models are solved using a scheme similar to Bender's [14] in that they make use of Lagrange relaxation [18].…”

Section: Introductionmentioning

confidence: 99%

Endogenous Approach of a Frequency-Constrained Unit Commitment in Islanded Microgrid Systems

et al. 2021

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Power reserves are usually scheduled in day-ahead unit commitment (UC) to minimize operating costs while maintaining system security. In applying basic UC (bUC) after a contingency, the system frequency may fall upon the activation of the load-shedding global control (under-frequency load-shedding or UFLS) limits. Small isolated microgrids are more sensitive to this issue due to their lack of inertia. Including dynamic considerations into the bUC problem can minimize UFLS activation and also avoid the need for the operator to later check the short-term feasibility of a bUC solution. These proposals are known as Frequency-Constrained UC (FCUC), although the implementation are very time-consuming. FCUC implementation will increase the system’s operational costs, which should be calculated to estimate remuneration to the safety service based on the additional reserve provision. The electrical system of Gran Canaria island has suffered several episodes of greater blackouts in recent years. Shortly, there will be 242 MW of wind generation installed (26% of the thermal power installed on Gran Canaria). The main objective of this work is to improve the island system reliability by means of an FCUC formulation applied by the system operator in practice, including renewable sources. The results show that the frequency values remained within the admissible boundaries, but the system’s operational costs increased by around 13%.

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“…Consequently, over recent decades, power systems have slowly been changing, with some traditional power plants (mainly based on fossil and nuclear fuels) being replaced by renewable energy sources generation units [3,4]. Of these, the most widely developed and installed renewable energy sources is wind power [5,6], which accounted for more than 650 GW of installed capacity in 2019 [7] and, in fact, plays an increasingly important role in current power systems [8,9]. Wind turbines (WTs) are generally divided into fixed speed wind turbines (FSWTs) and variable speed wind turbines (VSWTs).…”

Section: Introductionmentioning

confidence: 99%

Modelling Types 1 and 2 Wind Turbines Based on IEC 61400-27-1: Transient Response under Voltage Dips

et al. 2020

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Wind power plants depend greatly on weather conditions, thus being considered intermittent, uncertain and non-dispatchable. Due to the massive integration of this energy resource in the recent decades, it is important that transmission and distribution system operators are able to model their electrical behaviour in terms of steady-state power flow, transient dynamic stability, and short-circuit currents. Consequently, in 2015, the International Electrotechnical Commission published Standard IEC 61400-27-1, which includes generic models for wind power generation in order to estimate the electrical characteristics of wind turbines at the connection point. This paper presents, describes and details the models for wind turbine topologies Types 1 and 2 following IEC 61400-27-1 for electrical simulation purposes, including the values for the parameters for the different subsystems. A hardware-in-the-loop combined with a real-time simulator is also used to analyse the response of such wind turbine topologies under voltage dips. The evolution of active and reactive powers is discussed, together with the wind turbine rotor and generator rotational speeds.

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Cutting plane approaches for frequency constrained economic dispatch problems

Cited by 21 publications

References 32 publications

Large-scale unit commitment under uncertainty: an updated literature survey

Large-scale unit commitment under uncertainty: an updated literature survey

Endogenous Approach of a Frequency-Constrained Unit Commitment in Islanded Microgrid Systems

Modelling Types 1 and 2 Wind Turbines Based on IEC 61400-27-1: Transient Response under Voltage Dips

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