A bilinear self-tuning controller for multimachine transient stability

Rajkumar, V.; Zhu, W.; Mohler, R.R.; Spee, R.; Mittelstadt, W.A.; Maratukulam, D.

doi:10.1109/59.336127

Cited by 11 publications

(4 citation statements)

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“…Identifying the linear model and implementing the linear state‐feedback controller may not suffice when the system may have non‐linear loads, or may be too close to voltage instability, for example, where it exhibits significant amount of non‐linearity in its dynamics. Recent papers such as [9, 10] have considered control design for non‐linear power system models using Koopman mode analysis, while [11] has designed approximate controllers using Carleman linearization. However, these are all model‐based control designs, and do not consider any model reduction operation.…”

Section: Introductionmentioning

confidence: 99%

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Scalable design methods for online data‐driven wide‐area control of power systems

Kar

Chakrabortty

2021

IET Generation Trans & Dist

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A novel online system-identification-based control design for damping inter-area oscillations in power systems using supplementary wide-area excitation control is presented. The identification is based on a partly reduced-order and a partly full-order model of the grid. Assuming the grid to be divided into coherent areas with phasor measurement units located across the grid, the coherent states of the generators are averaged while the noncoherent states, such as the internal states of each power system stabilizer, are not. A hybrid state vector consisting of these averaged and non-averaged states is computed, and used for identifying a hybrid linear time-invariant state-space model. A linear quadratic regulator based on this hybrid model is, thereafter, designed. The reduced-order part of the model is found to save significant amount of online time for both learning and control, while the full-order part serves to enhance closed-loop stability. N4SID with randomized singular value decomposition (rSVD) is used for making the identification loop fast. The reduced-dimensional controller is finally implemented using a broadcast control strategy. The design is extended to non-linear models of power systems using Carleman bilinearization. Results for linear and bilinear control designs are validated using the IEEE 68-bus power system model. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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Section: Introductionmentioning

confidence: 99%

“…Performance versus learning time FIGURE11 Non-linear fault simulation on 68-bus system system size increases. One way to determine an appropriate value for T 1 in real time is to use neural networks (NN).…”

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confidence: 99%

Scalable design methods for online data‐driven wide‐area control of power systems

Kar

Chakrabortty

2021

IET Generation Trans & Dist

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“…Among the control methods used to design power system controllers are transfer function design methods for power system stabilizers [2,3], linear model-b'wd self-tuning power system stabilizers and VAR units [4,5,6], nonlinear control using direct feedback linearization for (a) turbine-governor control [8,9], and (b) excitation system controllers [10,11,12], nonlinear variable structure control for thyristorcontrolled braking resistors [131, nonlinear adaptive control of thyristor-controlled series capacitors [14].…”

Section: Introductionmentioning

confidence: 99%

“…Bilinear system models [18], a special class of nonlinear systems that are linear in the state, linear in the control, but jointly nonlinear, seem a natural model for such processes. Bilinear self-tuning control using the TCSC has been investigated successfully for a class of faults on single-nichine and multimachie power systems [14,19,20]. In addition to the bilinear effect of the FACTS control devices, it must be noted that power system models exhibit more nonlinearities, especially in the swing dynamics, and AV&.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear self-tuning control of a flexible AC transmission system

Rajkumar

Mohler

Proceedings of 32nd IEEE Conference on Decision and Control

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There is currently interest in using thyristor controlled series capacitors (TCSC) in transmission lines for the dual purpose of altering the steady-sme power flow and enhancing system stability. Devices such as these come under the purview of flexible AC transmission systems (FACTS). We propose the use of nonlinear self-tuning control to enhance the stibility of a multimachine power system using the TCSC, especially when faced with uncertainties in the transmission system parameters. A nonlinear generalized predictive criterion is used to derive the self-tuning controller. Simulation results illustrate the effectiveness of the proposed nonlinear self-tuning controller in simultaneously damping local-mode and inter-area oscillations.

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Nonlinear control algorithms and power system application

Mohler

Zakrzewski

1996

Applied Mathematics and Computation

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A bilinear self-tuning controller for multimachine transient stability

Cited by 11 publications

References 12 publications

Scalable design methods for online data‐driven wide‐area control of power systems

Scalable design methods for online data‐driven wide‐area control of power systems

Nonlinear self-tuning control of a flexible AC transmission system

Nonlinear control algorithms and power system application

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