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Stability analysis method for power grid load frequency control system based on switching time lag

A system stability and power grid load technology, applied in the direction of electrical digital data processing, data processing applications, instruments, etc., can solve the problems of unable to achieve stable control of power grid load frequency, unable to deal with unpredictable and random time delays, etc.

Pending Publication Date: 2022-07-01
CHINA UNIV OF GEOSCIENCES (WUHAN)
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Problems solved by technology

[0004] In order to solve the technical problem that the existing method cannot handle the unpredictable and random time lag and thus cannot realize the stable control of the grid load frequency, the technical solution adopted by the present invention is as follows:

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  • Stability analysis method for power grid load frequency control system based on switching time lag
  • Stability analysis method for power grid load frequency control system based on switching time lag
  • Stability analysis method for power grid load frequency control system based on switching time lag

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Embodiment 1

[0203] For the grid load frequency control system model, in this embodiment, take T ch =0.3, T g =0.1, R=0.05, D=1.0, β=21, M=10, then let K p =0.4, K i =0.6, h 1 =1.0, μ=0.1, α 1 =0.2, α 2 =0.6, ρ=2, α′=0.13, α=0.12, from the stability analysis method proposed in the present invention, namely Theorem 3, it can be known that h 2 ≤3.0097, R l (k n ,k n+1 )≤0.0875, F l (k n ,k n+1 )≤0.0316, which means that the system may be stable when the maximum delay does not exceed 3.0097, assuming k n+1 -k n ≤100, in this case, when LDP occurs no more than 3 times and its total length does not exceed 8.75 seconds per 100 seconds, then the system is stable.

[0204] Finally, the validity of the above results is verified by simulation experiments. Let ΔP d Randomly fluctuates in the range of 0.19-0.21p.u. by image 3 It can be seen that the system is stable in SDPs and unstable in LDPs, and by choosing Figure 4 The switching signal in , so that the number of LDP occurrences...

Embodiment 2

[0206] For the grid load frequency control system model, in this embodiment, take T ch =0.3, T g =0.1, R=0.05, D=1.0, β=21, M=10, then let K p =0.3, K i =0.4, h 1 =1.0, μ=0.1, α 1 =0.3, α 2 =0.7, ρ=2.5, α′=0.26, α=0.25, from the stability analysis method proposed in the present invention, namely Theorem 3, it can be known that h 2 ≤4.3114, R l (k n ,k n+1 )≤0.0400, F l (k n ,k n+1 )≤0.0407, which means that the system may be stable when the maximum delay does not exceed 4.3114, assuming k n+1 -k n ≤100, in this case, when LDP occurs no more than 4 times and its total length does not exceed 4.07 seconds per 100 seconds, then the system is stable.

[0207] Finally, the validity of the above results is verified by simulation experiments. Let ΔP d Randomly fluctuates in the range of 0.19-0.21p.u. by Figure 5 It can be seen that the system is stable in SDPs and unstable in LDPs, and by choosing Image 6 The switching signal in , so that the number of LDP occurrenc...

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Abstract

The invention provides a stability analysis method for a power grid load frequency control system based on switching time lag, and the method comprises the steps: enabling a power grid load frequency control system with LDPs to be modeled into a switching time lag system through introducing a switching signal, and enabling the switching time lag system to comprise an unstable subsystem caused by the LDPs and a stable subsystem caused by the SDPs. A segmented Lyapunov functional containing SDPs and LDPs functional is constructed, so that the stability of a power grid load frequency control system containing LDPs can be analyzed. Length rate and frequency concepts of LDPs are introduced, and a stability criterion for testing frequency and length of LDPs is provided based on a switching technology and is used for carrying out stability analysis on a power grid load frequency control system. Although the subsystem of the LDPs is unstable, the method can obtain a stable condition by limiting the length rate and the frequency of the LPDs, thereby ensuring that the power grid load frequency control system can be stable in the whole time interval.

Description

technical field [0001] The invention relates to the field of power grid load frequency control, in particular to a method for analyzing the stability of a power grid load frequency control system based on switching time delay. Background technique [0002] Frequency stability is a very important aspect of grid stability. At present, load frequency control is an effective frequency control method widely used in the power grid to keep the frequency of the power grid within a predetermined range. Since the information exchange between the control center and the equipment involved in load frequency control relies on communication The network transmits control signals, which inevitably introduces time lag. As an important factor of system performance degradation and instability, time delay should be considered when analyzing the stability of power grid load frequency control system. [0003] In most of the existing studies on the stability analysis of grid load frequency contro...

Claims

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Application Information

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IPC IPC(8): G06F30/20G06Q50/06G06F119/02
CPCG06F30/20G06Q50/06G06F2119/02
Inventor 张传科袁哲丽徐达钟菲莉金丽上官星辰何勇
Owner CHINA UNIV OF GEOSCIENCES (WUHAN)
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