Power system small-signal stability analysis method based on fractional order differential theory

A technology of fractional differentiation and small disturbance stability, which is applied to electrical components, circuit devices, AC network circuits, etc., to achieve the effect of improving ergodicity and increasing the possibility of global convergence

Inactive Publication Date: 2017-12-05
GUANGXI UNIV
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Problems solved by technology

Aiming at the series of problems faced by the linearization of small disturbance stability in complex power systems, the present invention establishes a fractional order model of small disturbances in the power system, analyzes the stability of small disturbances and safety margins on this basis, proposes corresponding control measures, and establishes fractional order models. A New Theory of Small Disturbances in Models

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  • Power system small-signal stability analysis method based on fractional order differential theory
  • Power system small-signal stability analysis method based on fractional order differential theory
  • Power system small-signal stability analysis method based on fractional order differential theory

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Embodiment Construction

[0086] The present invention will be further described below in conjunction with embodiment.

[0087] 1. The power system small disturbance stability analysis method based on the fractional differential theory, operates according to the following steps:

[0088] Step 1: Set the initial parameters of the differential order of the algorithm, use the formula (3) to realize the quantum coding, and use the formula (4) to realize the parallel division of the quantum sub-solution space.

[0089] Step 2: Using the matrix configuration method to design equation coefficient identification rules:

[0090] 1) Rewrite formula (C) into matrix form:

[0091]

[0092] 2) Further rewrite formula (6):

[0093]

[0094] 3) Define the equation coefficient error e(P)=P-P 0 ,Have

[0095] 4) Design controller u(X)=KX and parameter identification rules according to formula (13) get:

[0096]

[0097] 5) As long as K can make Constantly established, according to It is establ...

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Abstract

The invention discloses a power system small-signal stability analysis method based on a fractional order differential theory. The method comprises steps: 1) a power system small-signal fractional order model is built; and 2) robust stability analysis on the power system small-signal fractional order model is carried out. The power system small-signal stability analysis method based on the fractional order differential theory has the beneficial effects that construction of a simplified nonlinear equation for idealized processing of a complex system is not needed, linearization on the constructed simplified nonlinear equation is also not needed, an equivalent simplified model for a power system complex small-signal model is constructed according to an intermediate equivalence process theory, a large number of differential operators reflecting the characteristics of the system are not lost, the characteristics of the system can be reflected more accurately, the power system small-signal stability analysis is more accurate, the control is more reliable, and the operation is safer.

Description

technical field [0001] The invention relates to the field of small-disturbance stability analysis of power systems, in particular to a small-disturbance stability analysis method for power systems based on fractional differential theory. This method does not lose the high-order characteristic items of the nonlinear system, and the small-disturbance stability analysis of the power system is more accurate and reliable. Background technique [0002] The classic model of small disturbance stability of power system is derived from the famous Lyapunov linearization method. First, at an initial equilibrium point, the equation of motion for the generator rotor and the network equation g(x,y)=0 to carry out Taylor expansion, and the Lipschitz condition must be satisfied, [0003] [0004] Available, [0005] [0006] If higher-order terms are ignored, [0007] [0008] Eliminating Δy from formula (3), we can get: [0009] [0010] According to the eigenvalue of the ...

Claims

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Application Information

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IPC IPC(8): H02J3/00
CPCH02J3/00H02J3/002H02J2203/20
Inventor 韦化胡建兵冯野峰李佩杰
Owner GUANGXI UNIV
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