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Residual iteration Prony low frequency oscillation analysis method

A technology of low frequency oscillation and analysis method, which is applied in the fields of reducing/preventing power oscillation, instruments, electrical digital data processing, etc.

Inactive Publication Date: 2016-04-27
DALIAN MARITIME UNIVERSITY
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Problems solved by technology

[0084] At present, when the Prony model is used and the least square method is used to calculate the low-frequency oscillation, the order m of the signal model taken is much larger than the actual order p of the signal model, otherwise the calculation accuracy is very poor
However, when the order m of the signal model is greater than the actual order p of the signal model, the coefficient matrix of the characteristic equation coefficient solution equation is already singular, and the numerical conditions become very poor, which makes the solution difficult, and the order of the signal model is higher than the actual order of the signal model. The larger the number, the worse the numerical conditions, and the more difficult it is to solve the characteristic equation coefficient solution equation system

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  • Residual iteration Prony low frequency oscillation analysis method
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  • Residual iteration Prony low frequency oscillation analysis method

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[0149] The present invention will be further described below in conjunction with the accompanying drawings. use figure 1 The flow chart of the low-frequency oscillation analysis of the traditional Prony method and Figure 2-3 The flow chart of the method of the present invention is shown, and the following calculation example signals are analyzed.

[0150] x(t)=10e -0.0311t cos(2π×0.2473t+20°)+2e -0.2652t cos(2π×0.42t+13°)+

[0151] 10e -0.0027t cos(2π×0.423t+110°)+e -0.2936t cos(2π×1.0349t+60°)+(48)

[0152] 1.6e -2.2421t cos(2π×2.4t+10°)

[0153] The above signal contains 5 sinusoidal components, which are equivalent to 10 complex exponential components. When using formula (1) to model the above signal, the actual order p of the signal model is 10. The parameters of the calculation example signal are shown in Table 1.

[0154] Table 1 Parameters of the example signal

[0155] Component number

Frequency f(Hz)

Attenuation factor α

Amplitude A

...

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Abstract

The invention discloses a residual iteration Prony low frequency oscillation analysis method. An iteration method is adopted to reduce the order of a signal model and improve the numerical stability for resolving a characteristic equation coefficient solving equation set. The analysis method specifically comprises the following steps: reading in measured data after filtering; calculating the actual order of the signal model by using a singular value decomposition method; calculating characteristic equation coefficients by using a residual iteration method; calculating frequency and attenuation factors; calculating amplitude and an initial phase; according to the residual iteration Prony low frequency oscillation analysis method, low frequency oscillation is analyzed through a residual iteration Prony method, so the order of the signal model during expanding Prony analysis can be reduced, and the numerical stability for resolving the characteristic equation coefficient solving equation set is improved. Under the condition that selected signal model orders m are the same, the result accuracy of low frequency oscillation information calculated through the method provided by the invention is higher than that of a traditional Prony method.

Description

technical field [0001] The invention relates to a Prony low-frequency oscillation analysis method of a power system, in particular to a residual iterative Prony method low-frequency oscillation analysis method. Background technique [0002] When the generators are running in parallel in the power system, the relative swing between the rotors of the generators will occur under the disturbance, and cause continuous oscillation when there is no damping. The oscillation frequency is generally 0.1Hz-2.5Hz, which is called low-frequency oscillation. Power system low-frequency oscillation is a common abnormal operation state of power system operation, which seriously affects the stability of power system operation and endangers the safety of power grid and its related equipment. Therefore, it is necessary to closely monitor the possible low-frequency oscillation phenomenon and deal with it in time to prevent the consequences of destroying the stability of the system. Prony analysi...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50G06Q50/06H02J3/24
CPCG06F30/00G06Q50/06H02J3/24Y02E60/00
Inventor 姚玉斌罗耀张力元王丹吴志良
Owner DALIAN MARITIME UNIVERSITY
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