以鍵結圖法及Matlab/Simulink對 電力電纜特性之建模與模擬分析

Modeling and Analysis of Power Cable Using Bond Graphs and Matlab/Simulink Approach

馮昱書(YU-SHU FENG)

指導教授 ： 曾國雄

國立臺北科技大學/電資學院/電資碩士班/碩士(2011年)

https://doi.org/10.6841/NTUT.2011.00070

摘要

本論文以鍵結圖法結合MATLAB/Simulink軟體進行電力電纜系統的建模、模擬與負載特性分析，在不同的電力電纜電路下，觀察電阻性負載端電壓及電流之時域分析與系統頻域分析。電纜本體的模型是由RLC元件所組成之電纜電路模型架構，其架構共分為L、T、π型三種之雙芯 1.5 mm2電力電纜，同時，本研究為了解電纜中的效應與損失對電力電纜穩定性之影響，在L型之電力電纜加入集膚效應、接近效應與電介質損失電路，依據原電力電纜電路系統架構，建立結構化的鍵結圖模型，再直接對應轉換成能量元件所表示的SEBD模型架構，同時也利用鍵結圖模型建立數學狀態空間方程式，使用SEBD模型與數學狀態空程方程式，以MATLAB/Simulink軟體模擬及分析電纜電路系統時域、頻域分析。遵循本論文所提出之方法，則無須經由複雜的數學模型簡化或降階計算，即可得到其系統特性。

關鍵字

鍵結圖 ； 電力電纜建模 ； Simulink能量方塊圖(SEBD) ； 時域分析 ； 頻域分析

並列摘要

This paper presents a sub-systematic graphical structural modeling and dynamic response analysis approach in time and frequency-domains, to study the two-core 1.5 mm2 power cable include L-type, T-type , π-type and L-type with Skin and Proximity Effects and Dielectric losses circuit models. The dynamic characteristics of different unit length subsystems of power cable are described. The higher-order RLC elements Bond Graphs combined with Simulink Energy Block Diagram (SEBD) modeling algorithm and simulation models are developed herein. The various length of power cables’ SEBD models are established as well. Few cable length that dynamic responses simulation results are obtained, and the comparison of load output voltage and current state variables is accomplished, and frequency responses analysis by way of illustration. The proposed Bond-Graph/SEBD subsystems inter- connected method is able to predict system dynamic characteristics without the derivation of complexly mathematical equations, it is shown that Bond-Graph /SEBD subsystems modeling approach requires neither mathematical higher-order reduction nor physically based model reduction.

並列關鍵字

Power cable modeling ； time-domain analysis ； frequency-domain analysis ； Bond Graphs ； Simulink Energy Block Diagram.

參考文獻

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