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arxiv: 1907.06846 · v1 · pith:RSMUTHSJnew · submitted 2019-07-16 · 📡 eess.SY · cs.SY

Coherency and Online Signal Selection Based Wide Area Control of Wind Integrated Power Grid

Pith reviewed 2026-05-24 21:10 UTC · model grok-4.3

classification 📡 eess.SY cs.SY
keywords wide area controlcoherency groupingresidue methodinterarea oscillationswind integrated power griddiscrete LQRKalman filteringpower system stabilizers
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The pith

A wide-area control architecture uses real-time coherency grouping and residue-based signal selection to damp interarea oscillations more effectively in wind-integrated grids.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper introduces a method that combines discrete linear quadratic regulator control with Kalman filtering for state estimation in wide-area damping. It incorporates online coherency grouping to track real-time grid changes and residue-based selection to choose effective control signals. This setup adapts to wind integration and varying conditions, yielding better oscillation damping than conventional local power system stabilizers or offline wide-area designs. The approach is validated on a two-area wind-integrated system and the IEEE 39-bus network.

Core claim

The architecture provides online coherency grouping that properly characterizes real-time changes in the power grid and online wide-area signal selection based on residue method for proper selection of the WAC signals, allowing more effective damping than conventional local signal based power system stabilizers or offline based WAC designs.

What carries the argument

Discrete linear quadratic regulator with Kalman filtering state-estimation, extended by real-time coherency grouping and residue-based wide-area signal selection.

If this is right

  • The controller monitors and adapts to real-time grid changes caused by wind integration.
  • Appropriate wide-area signals are selected dynamically for improved interarea oscillation damping.
  • Performance exceeds both local stabilizers and offline wide-area designs on the tested two-area and 39-bus systems.
  • The method reduces reliance on fixed tuning that becomes outdated as operating conditions shift.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The online grouping and selection steps could extend to other variable renewable sources such as solar.
  • Embedding the method in existing phasor measurement unit networks would strengthen its real-time capability.
  • Similar residue-based selection might improve other wide-area applications like voltage control.

Load-bearing premise

Power grid dynamics can be represented by linear models suitable for discrete LQR and Kalman filtering, with real-time coherency grouping and residue selection remaining effective under varying wind conditions without instability or delays.

What would settle it

A simulation on the IEEE 39-bus system under fluctuating wind output where the proposed controller produces less damping or induces instability compared with local power system stabilizers.

Figures

Figures reproduced from arXiv: 1907.06846 by Abilash Thakallapelli, S J Hossain, Sukumar Kamalasadan.

Figure 2
Figure 2. Figure 2: Two-area study system model. Group-1 Group-3 Group-2 WAC WAC WAC [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 1
Figure 1. Figure 1: Flow chart of the proposed coherency grouping algorithm. [PITH_FULL_IMAGE:figures/full_fig_p004_1.png] view at source ↗
Figure 6
Figure 6. Figure 6: Coherency group-3 5 6 7 8 9 time (s) 375 376 377 378 379 380 Speed (rad/s) Slow Coherency (Group-4) W10 5 6 7 8 9 time (s) 375 376 377 378 379 380 Speed (rad/s) Spectral Clustering (Group-4) W10 [PITH_FULL_IMAGE:figures/full_fig_p005_6.png] view at source ↗
Figure 5
Figure 5. Figure 5: Coherency group-2 at various locations of IEEE-39 bus system. For this, 3-ph faults are created for a duration of 0.1 sec at bus-14, bus-19, and bus-6 at 5, 31 and 61 sec respectively. Table II shows the coherency grouping comparison of 39-bus system for various operating conditions [PITH_FULL_IMAGE:figures/full_fig_p005_5.png] view at source ↗
Figure 8
Figure 8. Figure 8: Coherency grouping for different operating conditions. [PITH_FULL_IMAGE:figures/full_fig_p006_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: Input/Output signal for transfer function estimation. [PITH_FULL_IMAGE:figures/full_fig_p006_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: Proposed wide area controller. so k is assumed to be a large number which is limited by number of samples l and computational burden. Then, modes with negligible residues are discarded [38] and new order p is identified (i.e the order of (9) is reduced from k to p). The discrete state space matrices are formulated using (9) which can be written as in (15). x(p + 1) = Ax(p) + Bu(p) y(p) = Cx(p) + Du(p) (15… view at source ↗
Figure 11
Figure 11. Figure 11: Experimental test bed. A. Implementation test results using two-area system Based on coherency grouping as shown in Table I, it can be seen that generators 1 and 2 are in one group and generators 3 and 4 are in the other group, so two WACs are required which are to be placed one in each group. The signal selection for WAC control loop is discussed in section II. The simulation results with the proposed co… view at source ↗
Figure 15
Figure 15. Figure 15: Relative speed of generator 1 w.r.t generator 4. [PITH_FULL_IMAGE:figures/full_fig_p009_15.png] view at source ↗
Figure 16
Figure 16. Figure 16: Relative speed of generator 2 w.r.t generator 4. [PITH_FULL_IMAGE:figures/full_fig_p009_16.png] view at source ↗
Figure 14
Figure 14. Figure 14: Relative speed of generator 2 w.r.t generator 3. [PITH_FULL_IMAGE:figures/full_fig_p009_14.png] view at source ↗
Figure 20
Figure 20. Figure 20: Relative speed of generator 5 w.r.t generator 2. [PITH_FULL_IMAGE:figures/full_fig_p010_20.png] view at source ↗
Figure 18
Figure 18. Figure 18: Wind Speed. 0 10 20 30 40 50 60 70 80 90 100 time (s) 0 50 100 150 200 250 300 Active Power (MW) [PITH_FULL_IMAGE:figures/full_fig_p010_18.png] view at source ↗
Figure 19
Figure 19. Figure 19: WTG Active Power. the active power. It is seen that (see [PITH_FULL_IMAGE:figures/full_fig_p010_19.png] view at source ↗
Figure 23
Figure 23. Figure 23: WAC input signal to generator 2, 7, and 8 [PITH_FULL_IMAGE:figures/full_fig_p010_23.png] view at source ↗
read the original abstract

This paper introduces a novel method of designing wide area control (WAC) based on a discrete linear quadratic regulator and Kalman filtering based state-estimation that can be applied for real-time damping of interarea oscillations of wind integrated power grid. The main advantages of the proposed method are that the architecture provides online coherency grouping that properly characterizes real-time changes in the power grid and online wide-area signal selection based on residue method for proper selection of the WAC signals. The proposed architecture can, thus, accurately monitors changes in the power grid and select the appropriate control signal for more effectively damping the interarea oscillation when compared to the conventional local signal based power system stabilizers or offline based WAC designs. The architecture is tested on a wind integrated two-area system and the IEEE 39 bus system in order to show the capability of the proposed method.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 0 minor

Summary. The paper proposes a wide-area control (WAC) architecture for real-time damping of inter-area oscillations in wind-integrated power grids. It combines discrete LQR control with Kalman filtering for state estimation, adding online coherency grouping to track real-time grid changes and residue-based online selection of WAC signals. The central claim is that this yields more effective damping than conventional local-signal PSS or offline WAC designs; the architecture is tested on a wind-integrated two-area system and the IEEE 39-bus system.

Significance. If the online coherency and signal-selection features can be shown to deliver measurable improvements in damping under realistic wind variation, the work would provide a practical, incrementally novel extension of standard LQR/Kalman tools to adaptive wide-area control. The explicit motivation for the online components is independent of the core LQR/Kalman machinery and addresses a recognized limitation of offline designs.

major comments (2)
  1. [Abstract] Abstract: the abstract states that the architecture was tested on the wind-integrated two-area system and IEEE 39-bus system yet supplies no quantitative results, error metrics, comparison data, or robustness checks. Without these data the central performance claims cannot be evaluated.
  2. [Abstract] Abstract (method description): the design rests on the assumption that the wind-integrated system can be represented by linear time-invariant models suitable for discrete LQR and Kalman filtering. No analysis or simulation is supplied to show that online coherency grouping and residue selection remain stable and effective when wind-speed fluctuations move the operating point or introduce nonlinearities.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the constructive feedback on our manuscript. We address each major comment below and will revise the paper accordingly to strengthen the presentation of results and clarify methodological assumptions.

read point-by-point responses
  1. Referee: [Abstract] Abstract: the abstract states that the architecture was tested on the wind-integrated two-area system and IEEE 39-bus system yet supplies no quantitative results, error metrics, comparison data, or robustness checks. Without these data the central performance claims cannot be evaluated.

    Authors: We agree that the abstract would benefit from inclusion of key quantitative metrics. The full manuscript contains simulation results with damping ratios, settling times, and comparisons against local PSS and offline WAC designs on both test systems, including cases with wind variation. In the revised version we will condense the most salient numerical results (e.g., percentage improvement in damping ratio and inter-area mode settling time) into the abstract. revision: yes

  2. Referee: [Abstract] Abstract (method description): the design rests on the assumption that the wind-integrated system can be represented by linear time-invariant models suitable for discrete LQR and Kalman filtering. No analysis or simulation is supplied to show that online coherency grouping and residue selection remain stable and effective when wind-speed fluctuations move the operating point or introduce nonlinearities.

    Authors: The method is formulated within the standard small-signal linear framework used for inter-area oscillation damping; the online coherency and residue-based selection modules are explicitly intended to retune the controller when the operating point shifts due to wind changes. The reported simulations already include wind-speed variations on both test systems and demonstrate continued effective damping. To directly address the concern we will add a dedicated paragraph discussing the range of validity of the LTI assumption, the adaptation mechanism, and any observed limitations under larger disturbances. revision: partial

Circularity Check

0 steps flagged

No significant circularity detected in derivation chain

full rationale

The paper describes an architecture using standard discrete LQR and Kalman filtering for wide-area control, augmented with online coherency grouping and residue-based signal selection. No load-bearing steps in the abstract or described method reduce by construction to fitted inputs, self-definitions, or self-citation chains; the online features are presented as extensions of established LQR/Kalman tools with independent motivation from real-time grid monitoring needs. The two-area and IEEE 39-bus tests are cited as validation rather than as the source of the claimed performance. This matches the default expectation that most papers are not circular, yielding a self-contained derivation against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim rests on standard linear control assumptions and domain-specific power system modeling choices whose details are not visible in the abstract; no free parameters, invented entities, or ad-hoc axioms are explicitly introduced in the provided text.

axioms (2)
  • domain assumption Power system dynamics can be sufficiently approximated by linear time-invariant models for discrete LQR and Kalman filter application
    Invoked by the choice of D-LQR and Kalman estimation for real-time control (abstract).
  • domain assumption Residue method and coherency grouping remain reliable indicators for signal selection under real-time wind variability
    Central to the online selection advantage claimed (abstract).

pith-pipeline@v0.9.0 · 5684 in / 1342 out tokens · 26221 ms · 2026-05-24T21:10:18.245051+00:00 · methodology

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    He is currently a PhD candidate at University of North Carolina at Charlotte

    He worked as a software engineer in Samsung Research and Development institute Bangladesh from 2013 to 2015. He is currently a PhD candidate at University of North Carolina at Charlotte. His research interests are distributed energy systems in- tegration, modeling and control, and wide area mon- itoring, optimization and control of power system. S. Kamala...