A new iterative identification method for damping control of power system in multi-interference

Miao Yu; Haoyang Lu; Weipeng Shang

doi:10.3934/dcdss.2020104

Article Contents

2020, Volume 13, Issue 6: 1773-1790. Doi: 10.3934/dcdss.2020104

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A new iterative identification method for damping control of power system in multi-interference

1.
School of Mechanical-electronic and Automobile Engineering, Beijing University of Civil Engineering and Architecture, Beijing 100044, China
2.
Beijing Key Laboratory of Service Performance of Urban Rail Transit Vehicles, Beijing University of Civil Engineering and Architecture, Beijing 100044, China
3.
School of Electrical Engineering, Computing and Mathematical Sciences, Curtin University, Perth, 6845, Australia

^* Corresponding author: Miao Yu
^* Corresponding author: Miao Yu

Received: July 31, 2018

Revised: September 30, 2018

Published: April 2020

The first author is supported by the Scholarship for Young University Teachers granted by China Scholarship Council (201709960017); National Natural Science Foundation of China (No.51407201); Research Funds for Beijing University of Civil Engineering and Architecture (No.X18121); The second author is supported by BUCEA Post Graduate Innovation Project (No.PG2012085)

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Abstract

In this paper, we consider the closed-loop model of a power system in a multi-interference environment. For a multi-interference power system, the closed-loop identification is a difficult task. Yet, the model identification error can degrade the effect of the damping control. This could lead to instability of the power grid. Thus, for the closed-loop identification, we propose an iterative online identification algorithm based on the recursive least squares method and the v-gap distance. The convergence of the algorithm is proved by using direct method. The proposed algorithm is applied to the New England system, for which the results obtained are compared with those obtained using the prediction error method and the Runge-Kutta method. From the simulation study being carried out on the IEEE 39-bus New England system, we observe that by using the iterative identification algorithm proposed in this paper, the output response time is reduced by about half when compared with those obtained by using the prediction error method and the Runge-Kutta method. Also, the number of oscillations in the output response is less. These clearly indicate that the algorithm proposed can effectively suppress low frequency oscillation. As for the amplitudes of the output responses produced by the three methods, they are basically the same.

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Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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Figure 1. Closed-loop Power System Model

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Figure 2. Closed-loop Power System Identification Model

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Figure 3. The flow chart of iterative identification algorithm based on RLS and $ v $-gap

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Figure 4. IEEE 39-bus New England test system

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Figure 5. The optimal parameters of the New England system being identified by the RLS parameter estimation

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Figure 6. The Bode diagrams of the identified model and the initial model for New England system

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Figure 7. Comparison of output responses for New England system

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Figure 8. The $ v $-gap distance between $ G $ and $ B_i $ for New England system

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Table 1. The output responses obtained by different identification methods for New England system

	Runge-Kutta	Iterative identification	Prediction Error
Time/s	70	29	39
Amplitude/dB	0.912	0.984	0.883

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Table 2. The frequency stability margin and the $ v $-gap distance corresponding to each identified data for New England system

	Group 1	Group 2	Group 3	Group 4	Group 5	Group 6
The frequency stability margin	0.0447	0.0269	0.0325	0.0622	0.1272	0.1257
v-gap distance	0.5899	0.5660	0.4151	0.1462	0.1099	0.1048
	Group 7	Group 8	Group 9	Group 10	Group 11	Group 12
The frequency stability margin	0.1258	0.1178	0.1177	0.1191	0.1193	0.1192
v-gap distance	0.1041	0.0645	0.0589	0.0590	0.0610	0.0645

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