本文為美國堪薩斯州立大學（作者：FALEH A ALSKRAN）的碩士論文，共118頁。

不斷增長的能源需求、不斷上漲的油價和對環境的擔憂，迫使人們關注環境友好、獨立于化石燃料的替代能源?？稍偕茉?#xff08;RES）已成為替代傳統能源發電的一種極具吸引力的能源。然而，當RES接入電網時，RES自適應的主要挑戰之一就出現了。電壓源逆變器（VSI）通常將RES連接到電網。與任何工程系統類似，VSI的詳細動態模型也需要用于設計和分析。然而，由于VSI的非線性，開發能夠準確描述其行為的動態模型是一項復雜的任務。

本文推導了兩電平三相空間矢量脈寬調制VSI及其伴隨LCL濾波器的詳細平均狀態空間模型。由于VSI可以在獨立模式和電網綁定模式下工作，因此針對每種情況導出了兩個模型。在導出的模型中，VSI調制指數和相位角最初被認為是常數。然而，在實際中，這些參數被認為是主要的控制參數。為了將這些參數建模為控制輸入，建立了獨立模式和并網模式下VSI的小信號模型。為了驗證所建立的大信號和小信號模型的準確性，進行了Matlab/Simulink仿真。將仿真結果與模型結果進行了比較，并通過實驗對模型進行了驗證。所建立的模型可作為設計和分析工具。此外，在不需要開關暫態過程建模的情況下，所建立的模型可以作為系統研究的快速有效的仿真工具。如今，連接到電網的VSI數量呈指數增長。使用本文所開發的模型，可以大大減少使用仿真軟件包模擬VSI所需的時間和計算量。

Increasing energy demand, rising oilprices, and environmental concerns have forced attention to alternative energysources that are environmentally friendly and independent of fossil fuels.Renewable energy sources (RES) have become an attractive alternative to thetraditional energy sources for electric power generation. However, one of themain challenges of RES adaption arises when connecting RES to the electricgrid. Voltage source inverters (VSIs), typically, connect RES to the electricgrid. Similar to any engineering system, detailed dynamic models of the VSIsare needed for design and analysis purposes. However, due to the non-linearityof VSIs, development of dynamic models that can accurately describe theirbehavior is a complex task. In this thesis, a detailed averaged-state-spacemodel of the two-level three-phase space vector pulse width modulation VSI andits companion LCL filter is derived. Because VSIs can operate under stand-aloneand grid-tied modes, two models were derived for each case. In the derivedmodels, the VSI modulation index and phase angle are initially consideredconstant. In practice, however, these parameters are considered the maincontrol parameters. To model these parameters as control inputs, small-signalmodels of the VSI under stand-alone and grid-tied modes were derived. To verifythe accuracy of the developed large-signal and small-signal models,Matlab/Simulink simulations were carried out. The simulation results werecompared against the models results. Moreover, the models were verified throughlab experiments. The developed models can be used as design and analysis tools.In addition, the developed models can be used as fast and efficient simulationtools for system studies, when the modeling of switching transients is notneeded. Nowadays, the number of VSIs connected to the electric grid is growingexponentially. The amount of time and computation needed to simulate VSIs usingsimulation software packages can be significantly decreased by the use of thedeveloped models.

引言

三相電壓源逆變器

電力電子變換器建模

三相SVPWM電壓源逆變器的狀態空間平均模型

基于仿真與實驗的模型驗證

結論與未來工作展望
附錄A SVPWM開關狀態的狀態空間表示
附錄B SVPWM扇區的平均狀態空間模型

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