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A method and controller for time-delay power system stability analysis with reduced conservatism

A power system and analysis method technology, which is applied in the field of wide-area power system analysis, can solve the problems of inaccurate model description and reduce conservatism, and achieve the effects of reducing conservatism, good control effect, and improving the time-delay stability interval

Active Publication Date: 2021-07-13
HENAN POLYTECHNIC UNIV
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Problems solved by technology

Although the above literature has reduced the conservatism of the time-delay power system stability criterion to a certain extent, the model description is inaccurate, the construction of the functional is too simple, and the method used in the analysis of the derivative of the functional has the advantage of reducing the conservatism. Certain limitations and other shortcomings, resulting in a certain degree of conservatism in the conclusions obtained

Method used

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  • A method and controller for time-delay power system stability analysis with reduced conservatism
  • A method and controller for time-delay power system stability analysis with reduced conservatism
  • A method and controller for time-delay power system stability analysis with reduced conservatism

Examples

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Effect test

example 1

[0276] Example 1: Consider an interval-varying delay system where:

[0277]

[0278] When μ=0.5 and μ=0.9, in the lower bound of time delay h 1 Under the given circumstances, use Theorem 1 to find the upper bound value of the maximum time delay to ensure the stable operation of the system, and compare the results of this application with literature [16] and literature [27]. Table 1 gives the Nether h 1 When using different methods to obtain the upper bound value of time lag h 2 . As can be seen from Table 1, at h 1 When the values ​​are 1, 2, and 3 respectively, the upper bound of the allowable maximum time lag obtained by Theorem 1 of this application is greater than the results obtained in literature [16] and [27], which is less conservative.

[0279] exist figure 1 , figure 2 When μ=0.5 and μ=0.9, the system stable operation regions of this application and references [16] and [27] are respectively given in . It can be seen that, compared with literatures [16] and...

example 2

[0282] Example 2: Choose as image 3 For the 4-machine 11-node system shown, the effectiveness of the method adopted in this application in reducing the conservatism of the stability conclusion of the wide-area time-varying time-delay power system is further analyzed.

[0283] According to the method of modal analysis in literature [29], the state matrix A, A of the four-machine power system is obtained 1 They are:

[0284]

[0285] Table 2 lists the upper bound of time delay obtained by Theorem 1 as 0.571, compared with 0.195 in literature [6], 0.288 in literature [29], 0.328 in literature [30], and 0.440 in literature [18]. The upper bounds of the hysteresis are larger than other literatures, thus illustrating the effectiveness of the method proposed in this application in reducing the conservatism of stability conclusions of wide-area time-varying time-delay systems, and also proves the effectiveness of the method of this application in multi-machine systems sex.

[0...

example 3

[0288] Example 3: Choose as Figure 4 The shown single-machine infinite system verifies the control effect of the controller designed in this application, and the values ​​of the specific parameters of the system can be found in reference [31].

[0289] Among them, the state matrix A, A of the single-machine infinite power system 1 They are:

[0290]

[0291]

[0292] For the stand-alone infinite system, Table 3 shows the upper bound of the maximum time delay obtained by different methods. It can be seen that the upper bound of the maximum time delay of the system obtained by using Theorem 1 of this application is 69.74, which is greater than that of the literature [17] 65.4, 61.3 in [15], 65.4 in [18], 65.29 in [14], and 68.1 in [21], verifying that the method of this application reduces the conservatism of the system stability criterion.

[0293] Table 3 Obtaining the maximum time lag value by different methods

[0294] method [17] [15] [18] [14] [21]...

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Abstract

The analysis method of the present invention at first constructs the wide-area power system mathematical model that contains interval variable time-delay, then, proposes a kind of construction method of new augmentation vector and Lyapunov-krasovskii functional: when constructing Lyapunov-Krasovskii functional, in V 1 A new augmented variable is introduced in V 2 Segmented integral processing is done on the integral interval of V 4 The triple integral term is introduced in the construction, and the above method can further reduce the conservatism of the system stability criterion. At the same time, in the process of derivation and analysis of Lyapunov-Krasovskii functional, methods such as Wirtinger integral inequality, Extended integral inequality and convex combination are introduced to reduce the scaling error in the process of functional analysis and reduce the conservatism of the system stability conclusion It expands the stable operation area of ​​the system. On this basis, a feedback controller is designed, and the non-linear term is dealt with by using the step-by-step linearization method, and the existence condition of the controller is reduced to the form of strict linear matrix inequality. Good control effect.

Description

technical field [0001] The invention belongs to the technical field of wide-area power system analysis, and specifically relates to an analysis method for time-delay power system stability with reduced conservatism, and at the same time, the invention also relates to a feedback controller for time-delay power system stability. Background technique [0002] At present, there are mainly two methods for analyzing the stability of time-delay power systems. One is the frequency domain method, which mainly transforms the characteristic equation of the time-delay system and obtains the distribution of the corresponding eigenvalues ​​to analyze the system. The calculation process is very complicated, and once the operating state of the power system jumps or contains time-varying parameters, this method is difficult to work. Compared with the frequency domain method, the time domain method is currently the most important method for analyzing the stability of time-delayed power system...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H02J3/00
CPCH02J3/00H02J2203/20
Inventor 钱伟王晨晨杨艺刘海波赵运基
Owner HENAN POLYTECHNIC UNIV
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