本文選題：電力系統(tǒng) + 非線性系統(tǒng)�。� 參考：《電力自動(dòng)化設(shè)備》2014年09期

【摘要】：為解決多機(jī)非線性動(dòng)態(tài)電力系統(tǒng)模型應(yīng)用中存在的計(jì)算復(fù)雜、維數(shù)高的問題,提出經(jīng)驗(yàn)Gramian平衡降階方法,即將高階非線性電力系統(tǒng)動(dòng)態(tài)模型投影到一個(gè)低維子空間以獲得其降階模型,且降階模型能夠保留原非線性系統(tǒng)輸入輸出動(dòng)態(tài)行為。其實(shí)現(xiàn)過程:形成非線性電力系統(tǒng)動(dòng)態(tài)模型,通過仿真樣本和經(jīng)驗(yàn)數(shù)據(jù)樣本得到經(jīng)驗(yàn)可控Gramian矩陣和經(jīng)驗(yàn)可觀Gramian矩陣;利用得到的Gramian矩陣,計(jì)算平衡變換矩陣T,從而得到原系統(tǒng)的平衡系統(tǒng);獲得平衡系統(tǒng)的經(jīng)驗(yàn)可控Gramian矩陣和經(jīng)驗(yàn)可觀Gramian矩陣,并進(jìn)行奇異值分解,得到Hankel奇異值;根據(jù)Hankel奇異值大小的分布確定低維子空間的維數(shù),得到非線性電力系統(tǒng)的降階模型。以某實(shí)際20機(jī)非線性電力系統(tǒng)模型為例進(jìn)行降階仿真,仿真結(jié)果表明,降階系統(tǒng)模型在保留原系統(tǒng)穩(wěn)定性和輸入輸出動(dòng)態(tài)行為的前提下,其階數(shù)由原系統(tǒng)的120階降到50階,驗(yàn)證了經(jīng)驗(yàn)Gramian平衡降階方法在非線性電力系統(tǒng)模型降階中的有效性。
[Abstract]:In order to solve the problem of complex calculation and high dimension in the application of multi-machine nonlinear dynamic power system model, an empirical Gramian equilibrium reduction method is proposed. The high-order nonlinear power system dynamic model is projected to a low-dimensional subspace to obtain its reduced order model, and the reduced-order model can preserve the input and output dynamic behavior of the original nonlinear system. The realization process is as follows: the dynamic model of nonlinear power system is formed, the experiential controllable Gramian matrix and the experiential observable Gramian matrix are obtained through the simulation samples and the empirical data samples, the Gramian matrix is obtained, The equilibrium system of the original system is obtained by calculating the equilibrium transformation matrix T, and the experiential controllable Gramian matrix and the experiential observable Gramian matrix of the equilibrium system are obtained, and the singular value of Hankel is obtained by singular value decomposition. According to the distribution of Hankel singular value, the dimension of low dimensional subspace is determined, and the reduced order model of nonlinear power system is obtained. A practical 20 machine nonlinear power system model is taken as an example. The simulation results show that the order of the reduced-order system model is reduced from 120 to 50 orders under the premise of preserving the stability of the original system and the dynamic behavior of the input and output. The effectiveness of empirical Gramian equilibrium reduction method in nonlinear power system model reduction is verified.
【作者單位】： 華北電力大學(xué)新能源電力系統(tǒng)國家重點(diǎn)實(shí)驗(yàn)室;
【基金】：國家自然科學(xué)基金資助項(xiàng)目(51077053,51277074)~~
【分類號(hào)】：TM711

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