Transient Stability Enhancement of Multi–Machine Power Systems: Synchronization via Immersion of a Pendular System

Dib, Wissam; Ortega, Roméo; Hill, David J.

doi:10.1002/asjc.629

Cited by 10 publications

(15 citation statements)

References 23 publications

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“…This method is applicable to practical control design problems for many types of systems, refer to [18] for further details. In particular, transient stability and voltage regulation enhancement of power systems with excitation control, other kinds of FACTS devices, and a superconducting magnetic energy storage (SMES) system has been presented in [15,23,[25][26][27][28].…”

Section: Adaptive Immersion and Invari-ance Methodsmentioning

confidence: 99%

“…In particular, as the mechanical power is perturbed to a new constant value, the equilibrium of the system will shift to a new corresponding point. Further, the new point will be unknown if the mechanical power is unknown [20][21][22][23]. More practically, there are also other unknown parameters appearing in power systems [17].…”

Section: Transmitted Power With Statcommentioning

confidence: 99%

“…In accordance with condition (H4), we need to prove that boundedness of the trajectories of the closed loop behavior of the state equation ( 16) with the control law ( 19)-( 20) and the off-the-manifold coordinate ζ. From the target dynamical system in (23), it is can be seen that x 1 , x 2 are bounded and eventually settle to the equilibrium point (x 1e , 0). In addition, according to selecting the function β 1 (•) and…”

Section: (H4) Manifold Attractivity and Trajectory Boundednessmentioning

confidence: 99%

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Nonlinear Adaptive Controller Design for Power Systems with STATCOM via Immersion and Invariance

Kanchanaharuthai

2016

ECTI-EEC

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In this paper, a nonlinear adaptive control of generator excitation and Static Synchronous Compensator (STATCOM) is proposed to enhance the transient stability and voltage regulation of an electrical power system. The proposed controller is designed via an adaptive immersion and invariance (I&I) methodology. In particular, a nonlinear model of the power system including two unknown constant parameters, namely an unknown damping coefficient and an unknown perturbation in mechanical power, is considered. It will be shown that the adapive I\&I control law and the parameter adaptation law proposed can accomplish the convergence of the system states to the real value of unknown parameters. Additionally, they can achieve transient stabilization along with voltage regulations. The adaptive I&I controller is validated using a simulation study on a single-machine infinite bus (SMIB) power system and compared with the standard I&I controller and an adaptive backstepping controller. Simulation results are given to indicate the effectiveness of the proposed controller for the transient stabilization and voltage regulation.

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Section: Adaptive Immersion and Invari-ance Methodsmentioning

confidence: 99%

Section: Transmitted Power With Statcommentioning

confidence: 99%

Section: (H4) Manifold Attractivity and Trajectory Boundednessmentioning

confidence: 99%

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Nonlinear Adaptive Controller Design for Power Systems with STATCOM via Immersion and Invariance

Kanchanaharuthai

2016

ECTI-EEC

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“…Based on the idea from Dib et al . , we can extend the dynamic model in Equation to the n ‐machine case, for simplicity, each of the machine with a SG neglecting the saliency effect along with dual‐excited and steam‐valving controllers as follows:

({, \begin{array}{l} left & {\dot{δ}}_{i} = ω_{i} - ω_{s} \\ left & {\dot{ω}}_{i} = \frac{1}{M_{i}} ((), P_{mi} - P_{ei} - D_{i} ((), ω_{i} - ω_{s})) \\ left & {\dot{P}}_{mi} = - \frac{P_{mi} - P_{mei}}{T_{italicHΣi}} + \frac{C_{italicHi}}{T_{italicHΣi}} u_{Gi} \\ left & {\dot{E}}_{qi}^{'} = - \frac{(1 + X_{italicdmi} | Y_{italiciid} |)}{T_{d 0 i}^{'}} E_{qi}^{'} + true \sum_{k = 1, k \neq i}^{n} E_{qj}^{'} true| Y_{ikd} true| normalcos ((), δ_{i} - δ_{k}) + \frac{u_{italicfdi}}{T_{d 0 i}^{'}} \\ left & {\dot{E}}_{di}^{'} = - \frac{(1 + X_{italicdmi} | Y_{italiciiq} |)}{T_{q 0 i}^{'}} E_{di}^{'} - true \sum_{k = 1, k \neq i}^{n} E_{dj}^{'} true| Y_{ikq} true| normalsin ((), δ_{i} - δ_{k}) + ... \end{array})

…”

Section: Immersion and Invariancementioning

confidence: 99%

Immersion and invariance-based nonlinear dual-excitation and steam-valving control of synchronous generators

Kanchanaharuthai

2013

Int. Trans. Electr. Energ. Syst.

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Summary This paper focuses on designing the nonlinear dual‐excited and steam‐valving control of synchronous generators to enhance the system stability and voltage regulation of an electrical power system. Based on the concept of immersion and invariance technique, the resulting nonlinear controller is used to not only achieve power angle stability, frequency, and voltage regulation but also ensure that the closed‐loop system is transiently and asymptotically stable. In order to show the effectiveness of the proposed controller design, numerical simulation results are provided to illustrate the performance of the proposed controller capable of keeping the system transiently stable and simultaneously accomplishing the system stability and voltage regulation improvement in spite of large disturbances and network changes. Copyright © 2013 John Wiley & Sons, Ltd.

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“…In Reference 8, a synergistic approach is used to design a nonlinear adaptive control law that ensures the desired voltage of each generator by connection or disconnection of some network areas. In Reference 9, an analogy between generators connected to a common bus and coupled pendulums is considered for decreasing the differences between the generator power angles.…”

Section: Introductionmentioning

confidence: 99%

Synchronization of multi‐machine power systems under disturbances and measurement errors

Furtat

Nekhoroshikh

Гущин

2022

Adaptive Control & Signal

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The problem of multi-machine power system synchronization under parameter uncertainties, emergency modes, and measurement errors is considered. Only power angles of generators corrupted by bounded measurement errors are available for measurement. Emergency modes are associated with the sudden change of reactance of transmission lines. The proposed control law is based on measurement error filtering and left-differences estimation of power angel derivatives. Differently from some recent control schemes, it makes the obtained control law easier to tune and less sensitive to measurement errors. The robust-adaptive control law is suggested under unknown nominal values of reactances, EMFs, and currents. The simulations and experiments illustrate the efficiency of the proposed algorithm and confirm theoretical results in comparison with some existing ones.

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Transient Stability Enhancement of Multi–Machine Power Systems: Synchronization via Immersion of a Pendular System

Cited by 10 publications

References 23 publications

Nonlinear Adaptive Controller Design for Power Systems with STATCOM via Immersion and Invariance

Nonlinear Adaptive Controller Design for Power Systems with STATCOM via Immersion and Invariance

Immersion and invariance-based nonlinear dual-excitation and steam-valving control of synchronous generators

Synchronization of multi‐machine power systems under disturbances and measurement errors

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