Abstract
In order to reduce the online calculations for power system simulations of transient stability, and dramatically improve numerical integration efficiency, a transient stability numerical integration algorithm for variable step sizes based on virtual input is proposed. The method for fully constructing the nonhomogeneous virtual input for a certain integration scheme is given, and the calculation method for the local truncation error of the power angle for the corresponding integration scheme is derived. A step size control strategy based on the predictor corrector variable step size method is proposed, which performs an adaptive control of the step size in the numerical integration process. The proposed algorithm was applied to both the IEEE39 system and a regional power system (5075 nodes, 496 generators) in China, and demonstrated a high level of accuracy and efficiency in practical simulations compared to the conventional numerical integration algorithm.
Highlights
The transient stability of a power system refers to the ability of a power system to regain its original state or achieve a new stable state after it has been suddenly subjected to an extreme disturbance in a given operating state
The VSVII algorithm was applied to the IEEE39 system, the computer equipment used in the simulation comprised an Intel Core 2 CPU i3-2100, 3.10 GHz, with 8 GB of memory, equipped with the Windows 7 operating system
A transient stability numerical integration algorithm for variable step sizes based on virtual input
Summary
The transient stability of a power system refers to the ability of a power system to regain its original state or achieve a new stable state after it has been suddenly subjected to an extreme disturbance in a given operating state. The precise time step integration has very high accuracy, and the calculation process is more stable, which makes the method superior in solving nonlinear dynamic differential equations. When considering the use of precise time step integration in transient stability analysis, it is inevitable that even if the precise solution is used, it brings the problem of numerical instability to the algorithm itself. Given the applications of all kinds of quick regulating devices in a power system, the above problem may seriously affect the application of precise time step integration in transient stability simulations. The basic principle is to treat the nonhomogeneous term as a state variable of the dynamic equation by increasing the dimensions, so the nonhomogeneous dynamic equation can be transformed into a homogeneous dynamic equation This method avoids the matrix inversion in Energies 2017, 10, 1736; doi:10.3390/en10111736 www.mdpi.com/journal/energies
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