Implicit-projection-based method for simulating stability of active power distribution system
An implicit projection algorithm and power distribution system technology, applied in the direction of electrical digital data processing, special data processing applications, instruments, etc., can solve problems such as difficult calculation speed and numerical stability limitations
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[0096] For the linear integration algorithm, the linear constant coefficient differential equation The solution of and the scalar equation
[0097] x · = λx
[0098] The solutions are equivalent, where λ is the characteristic root of the matrix A, so the above formula is also called the scalar test equation. For a given numerical integration algorithm, its numerical stability domain refers to the s domain, and the algorithm satisfies the numerical stability condition when solving the scalar test equation
[0099] |σ(hλ)|≤1
[0100] The set of hλ.
[0101] This example takes the explicit fourth-order Runge-Kutta method (hereinafter referred to as RK4 algorithm) as an example for the internal integrator of the implicit projection algorithm. According to the numerical stability conditions, the implicit projection algorithm, the traditional RK4 algorithm and the explicit The numerically stable region of the for...
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