Modeling and Simulation in a Electrical Higher-Order RLC Tree Circuit Using Bond Graph/Simulink Approach

以鍵結圖／Simulink法在電機高階RLC樹狀電路建模及模擬

曾國雄(Kuo-Hsiung Tseng) ； 張瑞豐(Ruey-Fong Chang) ； 張振維(Chen-Wei Chang) ； 高文秀(Wen-Shiow Kao) ； 黃仕穎(Shih-Ying Huang) ； 吳俊達(Chun-Da Wu)

《臺北科技大學學報》 42卷1期 (2009/06) Pp. 1-15

https://doi.org/10.29768/JNTUT.200906.0001

摘要

本文應用Bond Graph(BG)/Simulink法建立圖型化模型及模擬以觀察高階樹狀電路系統的動態行為。以發展的BG/SEBD圖型化演繹法，將具有實體意義的能量元件之鍵結圖模型轉換成Simulink能量式方塊圖(SEBD)架構，以使用SEBD模型的特點是可精確地審查21階RLC樹狀電路系統的動態特性。SEBD演繹法的参與既無需某種程度的複雜數學方程式降階，又無需採用不具物理意義的模型簡化。
在本文中所採用Matlab/Simulink軟體模擬，以採用歩階函數作為輸入信號，接入樹狀電路主系統及以三種不同形式負載當成子系統和電路主系統相連接，以分析每一個儲能元件的電壓及電流狀態變數的大小，從模擬分析結果能被使用於預測全系統的動態特性及時域趨勢分析。

關鍵字

鍵結圖 ； 高階樹狀電路 ； Simulink能量式方塊圖 ； 建模 ； 模擬 ； 時域分析

並列摘要

This paper applies Bond Graph (BG)/Simulink approach to establish the graphical model and simulation to observe the dynamic behavior in a higher-order tree circuit system. The physically significant energy elements Bond Graph model which can be converted to Simulink energy-based block diagram (SEBD) structure by our developed algorithm. The advantage of a SEBD model used to obtain accurately to investigate dynamic characteristics in the 21(superscript th)-order RLC tree circuit main system. The SEBD algorithm involved neither requires the somewhat complicated order reduction nor adopts the physically insignificant model reduction.
The Matlab/Simulink simulation adopted in this paper uses a step function as input signal that join to the tree circuit main system, and three various kinds of load as subsystems which to link with circuit main system, and analyze the magnitudes of voltage and current state variable for every energy storage element. Results from the simulated analysis can then be used to predict the dynamic performance and time-domain trend analysis of the whole system.

並列關鍵字

Bond Graph BG ； Higher-Order RLC Tree Circuit ； Simulink Energy-based Block Diagram SEBD ； Modeling ； Simulation ； Time-Domain Analysis