Application of high-dimensional model representation technology in static security region of N-1 active power response

Abstract：High-dimensional model representation ( HDMR ) technology has unique performance in describing the relationship between system output and multi-input, and the relationship between power flow state and network multi-node injection is in line with relevant attributes. Based on this, the HDMR technology is applied to the static security region problem of N-1 active power response : the HDMR relationship between the power flow of key branches and the power of power supply and load is identified by typical samples, and the identified HDMR relationship is corrected by sensitivity and compensation method when the other branches are disconnected, so as to avoid a lot of time spent on model reconstruction for the new topology. Aiming at the problem of low accuracy of DC power flow applied to static security region analysis, the branch power flow HDMR relationship is used to replace the conventional power flow equation to improve the analysis efficiency and accuracy. In the case that the active power variation range of some generators is known, a method for calculating the power variation security region of other concerned node subsets is proposed, which can focus on monitoring whether the system is still in a safe state after its power changes. The example shows that the HDMR model can fit the power flow relationship and can be applied to the static security region problem.