Eigenvalue‐optimisation‐based optimal power flow with small‐signal stability constraints

Li, Peijie; Wang, Hua; Li, Bin; Yang, Yude

doi:10.1049/iet-gtd.2012.0171

Cited by 29 publications

(36 citation statements)

References 18 publications

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“…The active and reactive power equations at the maximum loading point limit for the normal and N−1 contingency transmission line conditions are presented in (6), (7) and (8), (9), respectively…”

Section: Base Case Opfmentioning

confidence: 99%

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Optimal re‐dispatch of generating units ensuring small signal stability

Adeli

Rabiee

Boroujeni

2020

IET Generation, Transmission & Distribution

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Section: Base Case Opfmentioning

confidence: 99%

“…In [7], to consider SSS in the OPF problem, eigenvalues are optimised using a non-linear semi-definite programming model. First-and second-order sensitivity indexes of the eigenvalues are calculated in [8] to solve the SSS-OPF problem.…”

Section: Introductionmentioning

confidence: 99%

Optimal re‐dispatch of generating units ensuring small signal stability

Adeli

Rabiee

Boroujeni

2020

IET Generation, Transmission & Distribution

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“…Costs incurred due to deviations of system states and controls from their optimal setpoints are also accounted for. In relation to [11]- [19], the proposed approach incorporates load-following control constraints into the OPF; but as an extra output, the required control law to steer the system to stability is also provided. • The effectiveness of the derived control law is demonstrated via numerical simulations on the power system described by nonlinear differential-algebraic equations (DAEs).…”

Section: B Paper Contributions and Organizationmentioning

confidence: 99%

“…Dynamic performance as well as costs of steady-state and load-following control are evaluated. The standard OPF (19) is solved using MATPOWER's runopf.m.…”

Section: Numerical Simulationsmentioning

confidence: 99%

Coupling Load-Following Control With OPF

Bazrafshan

Gatsis

Taha

et al. 2019

IEEE Trans. Smart Grid

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In this paper, the optimal power flow (OPF) problem is augmented to account for the costs associated with the loadfollowing control of a power network. Load-following control costs are expressed through the linear quadratic regulator (LQR). The power network is described by a set of nonlinear differential algebraic equations (DAEs). By linearizing the DAEs around a known equilibrium, a linearized OPF that accounts for steadystate operational constraints is formulated first. This linearized OPF is then augmented by a set of linear matrix inequalities that are algebraically equivalent to the implementation of an LQR controller. The resulting formulation, termed LQR-OPF, is a semidefinite program which furnishes optimal steady-state setpoints and an optimal feedback law to steer the system to the new steady state with minimum load-following control costs. Numerical tests demonstrate that the setpoints computed by LQR-OPF result in lower overall costs and frequency deviations compared to the setpoints of a scheme where OPF and loadfollowing control are considered separately.Index Terms-Optimal power flow, load-following control, linear quadratic regulator, semidefinite programming.

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“…The small disturbances often occur on the system because of small variations in loads and generation; it may result in low frequency oscillation in power system [1]. Traditionally, when people study the small disturbances of synchronous generator, they based on generator models which simplify the effects of rotor damping system [2]; however, the rotor damping system has the damping effect on the low frequency oscillation caused by small disturbances [3][4].…”

Section: Introductionmentioning

confidence: 99%

The influence of rotor damping system of turbine generator on small disturbance characteristic

Liu

Luo

et al. 2014

2014 IEEE PES General Meeting | Conference &Amp; Exposition

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In this paper, we study the influence of rotor damping system on small disturbance characteristic of turbine generator connected to power system. Considering the complex rotor damping structure of turbine generator, we establish Field-circuit Coupled Time-Step Finite Element Model and test this model by the experiment of 7.5 kW model machine. Based on this model, we take a 300 MW turbine generator as an example to study the influence of damping bar, rotor iron core and conductive slot wedge on small disturbance characteristic. We investigate the importance of the rotor damping system to small disturbance characteristic and find its impact is not negligible. By comparing the small disturbance characteristic indexes affected by three components of rotor damping system respectively, we conclude that the rotor slot wedge plays a leading role in small disturbance characteristic. .

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Eigenvalue‐optimisation‐based optimal power flow with small‐signal stability constraints

Cited by 29 publications

References 18 publications

Optimal re‐dispatch of generating units ensuring small signal stability

Optimal re‐dispatch of generating units ensuring small signal stability

Coupling Load-Following Control With OPF

The influence of rotor damping system of turbine generator on small disturbance characteristic

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