高维模型表达技术在N-1有功响应静态安全域中的应用

Application of High Dimensional Model Representation in N-1 Active Power Response Steady-state Security Domain

高维模型表达(HDMR)技术在描述系统输出量与多输入量之间关系方面具有独特性能,而电网潮流状态量与网络多个节点注入量间正好符合相关属性。基于此,将HDMR技术应用于N-1有功响应静态安全域问题:通过典型样本辨识关键支路潮流与电源和负荷功率间的HDMR关系,并在其他支路发生断线时,结合灵敏度和补偿法对已辨识HDMR关系进行修正,以避免针对新的拓扑耗费大量时间进行模型重建;针对直流潮流应用于静态安全域分析精度不高的问题,用支路潮流HDMR关系替代常规潮流方程,以提高分析效率和精度。在已知部分发电机有功功率变化范围的情况下,提出一种计算其他关注节点子集功率变化安全域的方法,可重点监视其功率变化后系统是否仍处于安全状态。算例表明,HDMR模型可以拟合潮流关系,并能够应用于静态安全域问题。

The high dimensional model representation （HDMR） has unique advantages in describing the relationship between output and multiple inputs in a certain system.And it so happened that this makes it suitable for the study of power flow state variables and multiple buses inj ections in the power network.Therefore,HDMR is applied to N-1 active power response steady-state security domain.The HDMR relationship between the power of the key branch and that of sources and loads is established by the typical representative samples.When there is a branch outage,to avoid large-scale rebuilding of HDMR models,the sensitivity and compensation methods are used to modify branch power flow with HDMR.Besides,as the DC power flow model has lower accuracy during the computing process in steady-state security domain,it is replaced by the HDMR model.The method proposed is capable of not only high speed analysis but also improved accuracy.In the case of known variation range of active power of part of the generators,a method is proposed for calculating the security domain of subset power variation of the buses of concern,which is helpful to monitoring if the system is still in the safe state after power variation.Numerical examples show that the HDMR model is able to successfully fit the power flow and be applied in the steady-state security domain.