N−1 Multi-contingency transient stability constrained AC optimal power flow with volt/var controllers

Optimal adjustment of control parameters in short‐term operational planning of power systems based on cost‐effective security solutions

“…Objective(s) [1] VSCOPF 2018 Reformulation of voltage stability condition to a set of second-order conic constraints in an OPF problem [2] 2019 A line-wise OPF based on voltage collapse indicator in terms of branch maximum loadability factors [3] 2019 Semidefinite programming relaxation of the conventional AC-OPF and a linear matrix inequality constraint reformulation of voltage stability constraint [4] 2019 Linear models of voltage stability incorporation with line-wise OPF [5] 2020 A random-fuzzy chance-constrained programming OPF for considering wind speed and P-Q-V steady-state voltage stability [6] 2020 Selection of a minimum number of distributed generators for improving resilience of power grids against extreme events which may lead to voltage stability problems and blackouts [7] TSCOPF 2016 Achieving improved response and better convergence for TSC-OPF problem using Krill Herd bio-inspired optimisation algorithm [8] 2017 Preventive control of transient stability based on active power re-dispatch sequential approach [9] 2017 Automating design of linear transient stability constraints without online human interference and being adaptive to the change of real-time operating conditions [10] 2020 Energy-function-based approach for assessment of transient stability along with benders decomposition technique for handling transient stability constraints [11] 2020 N-1 multi-contingency AC optimal power flow under a set of transient stability constraints [12] 2020 Considering uncertainties of active and reactive load values and network topology configuration in optimal dispatch of distributed synchronous generators constrained to transient stability [13] 2020 Modelling non-synchronous renewable generation equipped with synthetic inertia in TSC-OPF [14] 2021 Single-machine equivalent theory-based trajectory sensitivity analyses incorporated in TSC-OPF [15] SSSCOPF 2017 Solving SSSC-OPF problem by sequential quadratic programming method combined with gradient sampling [16] 2019 Handling the discontinuity and high non-linearity of SSS constraint by decomposing original optimisation problem into a sequence of sub-problems [17] 2021 An OPF model with small-signal trajectory constraint by extracting the damping ratio of the perturbation trajectory [18] 2021 Convexification approach without reliance on eigenvalue analysis and by network structure-preserving differential algebraic equation modelling of the power system [19] 2021 Explicit data-driven surrogate constraint for SSSC-OPF using support vector machine [20] 2022 Ensuring sufficient stability margin during optimal generation for inverter-based AC microgrids using a Lyapunov st...…”

“…In recent literatures, the incorporation of each stability phenomenon, that is, voltage, rotor-angle transient and small-signal stability, into optimal power flow has mostly been addressed through optimal control and scheduling of active and reactive powers on a separate study basis [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. Indeed, simultaneous consideration of different types of stability in optimal operation of power systems has not been studied yet.…”

“…Albeit the mutual effects of voltage and transient stabilities, or transient and small-signal stabilities on the placement of FACTS devices, or allocation and design of PSS have been investigated in some papers. The latest studies on VSC-OPF, TSC-OPF, and SSSC-OPF have been carried out in [1][2][3][4][5][6], [7][8][9][10][11][12][13][14], and [15][16][17][18][19][20], respectively, and they are summarized in Table 1. Conducting such separate studies based on the omission of the interaction…”

Advanced and Innovative Optimization Techniques in Controllers: A Comprehensive Review

“…This paper presents an N−1 multicontingency AC optimal power flow (OPF) that embeds, in the same mathematical optimization model, a set of transient stability constraints (TSC) that guarantee rotor angle and angular velocity variation within technical limits, at given N−1 contingencies. Furthermore, the proposed model considers the operation of volt/var controllers, such as shunt elements and OLTC transformers, to further improve the operation of the EPS, under given levels of demand and generation [41]. Zamzoum et al [42] proposed an adaptive controller based on fuzzy logic concept is proposed to limit the extracted power at rated value with improving its quality and to mitigate the loads applied on the turbine and the drive train in full loads conditions by adjusting the pitch angle.…”

Transient stability constrained optimal power flow solution using ant colony optimization for continuous domains (ACO R )

“…Low‐computational efficiency and the precision of the results are two concerns of researchers, considering the approach especially for solving large power systems. In the literature, along with discretization techniques, the use of sensitivity analysis [14], Taylor series expansion around the operating point [15], Mixed‐Integer Non‐linear Programming (MINLP) [16] and Banders Decomposition (BD) [17] have been considered to solve the main problem. Beside to classical optimization methods, the use of intelligent algorithms such as Genetic Algorithm (GA) [18], Particle Swarm Optimization (PSO) [19], Differential Evolution (DE) [20], Chemical Reaction Algorithm (CRA) [21], Ant Bee Colony (ABC) [22], Group Search Optimization (GSO) [23], Imperialist Competitive Algorithm (ICA) [24], Krill Herd algorithm (KHA) [25], Teaching‐Learning Algorithm (TLA) [26], Whale Optimization Algorithm (WOA) [27], BioGeography‐based Algorithm (BGA) [28] and Collective Decision Optimization (CDO) [29] have also been considered in solving the TSCOPF problem.…”