Large-scale time-lag electric system characteristic value calculation method based on EIGD

Abstract

Te invention discloses a large-scale time-lag electric system characteristic value calculation method based on EIGD. The method includes the steps of establishing a time-lag electric system model, converting the formula of the time-lag electric system model into the abstract cauchy problem, converting the characteristic value of the time-lag electric system model into the characteristic value of an infinitesimal generator of the calculated and converted formula, conducting discretization on the infinitesimal generator to obtain an approximate matrix of the infinitesimal generator, obtaining the approximate matrix where displacement processing is conducted by conducting displacement processing on the approximate matrix, obtaining an inverse matrix after inverse conversion is conducted on the approximate matrix where displacement processing is conducted, converting the partial characteristic value required to be calculated into the partial characteristic value with the maximum module value, calculating the partial characteristic value, with the maximum module value, of the inverse matrix through the Arnoldi algorithm, and obtaining the characteristic value lambda of the approximate matrix. Verification is conducted through the Newton iteration method, and the accurate characteristic value and the accurate characteristic vector of a time-lag electric system are obtained through calculation.

Description

technical field [0001] The present invention relates to an EIGD-based large-scale time-delay power system eigenvalue calculation method. The Chinese interpretation of EIGD: display infinitesimal generator discretization. The full English name of EIGD: Explicit Infinitesimal Generator Discretization. Background technique [0002] The emergence of Wide-Area Measurement System (WAMS) has brought new opportunities for the development of stability analysis and control of large-scale interconnected power systems. The low-frequency oscillation control of the interconnected grid based on the wide-area information provided by WAMS can obtain better damping control performance by introducing a wide-area feedback signal that effectively reflects the interval oscillation mode. Improving the power transmission capacity of the system provides a new control method, which has a good and wide application prospect. [0003] When the wide-area signal is transmitted and processed in the WAMS c...

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Problems solved by technology

[0013] The spectral discretization method has the following shortcomings: (1) the approximate matrix of the infinitesimal generator has no clear and analytical expression, and it is difficult to use the sparse eigenvalue method to calculate part of the eigenvalues ​​of the system; (2) it does not use the system linearization augmentation Due to the sparse nature of the matrix, the amount of calculation is large, and it cannot be used for the calculation of time-delay eigenvalues ​​of large-scale power systems

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