Time-lag electric power system stability discrimination method based on IGD-IRK (infinitesimal generator discretization method with implicit Runge-Kutta)

Abstract

The invention discloses a time-lag electric power system stability discrimination method based on IGD-IRK (infinitesimal generator discretization method with implicit Runge-Kutta). The method includesthe steps: building a time-lag electric power system model; discretizing an infinitesimal generator by an implicit Runge-Kutta method to obtain a discretized matrix of the infinitesimal generator; transforming an infinite dimensional characteristic value problem into a finite dimensional characteristic value problem; calculating approximate values of maximum characteristic values of module valuesof the obtained discretized matrix of the infinitesimal generator by an implicit Arnoldi algorithm; performing sparse implementation by the aid of properties of Kronecker products, and iteratively solving matrix inversion and vector product problems by an induction dimension-decreasing algorithm; transforming the approximate values of the maximum characteristic values of the module values of thediscretized matrix of the infinitesimal generator into approximate characteristic values of a time-lag electric power system model; correcting the approximate characteristic values by a Newton iteration method to obtain accurate characteristic values; judging stability of a time-lag electric power system according to the accurate characteristic values.

Description

technical field

[0001] The invention relates to a time-delay power system stability discrimination method based on the Runge-Kutta discretization (Infinitesimal Generator Discretization Method with Implicit Runge-Kutta, IGD-IRK) of infinitesimal generators. Background technique

[0002] With the rise of the Global Energy Internet, the scale of the interconnected power system is gradually increasing, and the problem of interval low-frequency oscillation is more significant. The traditional solution is to install a power system stabilizer (Power System Stabilizer, PSS), but because its feedback control signal comes from the local area, it cannot effectively damp the interval oscillation of the interconnected power system.

[0003] 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 ba...

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