本文为美国堪萨斯州立大学（作者：FALEH A ALSKRAN）的硕士论文，共118页。

不断增长的能源需求、不断上涨的油价和对环境的担忧，迫使人们关注环境友好、独立于化石燃料的替代能源。可再生能源（RES）已成为替代传统能源发电的一种极具吸引力的能源。然而，当RES接入电网时，RES自适应的主要挑战之一就出现了。电压源逆变器（VSI）通常将RES连接到电网。与任何工程系统类似，VSI的详细动态模型也需要用于设计和分析。然而，由于VSI的非线性，开发能够准确描述其行为的动态模型是一项复杂的任务。

本文推导了两电平三相空间矢量脉宽调制VSI及其伴随LCL滤波器的详细平均状态空间模型。由于VSI可以在独立模式和电网绑定模式下工作，因此针对每种情况导出了两个模型。在导出的模型中，VSI调制指数和相位角最初被认为是常数。然而，在实际中，这些参数被认为是主要的控制参数。为了将这些参数建模为控制输入，建立了独立模式和并网模式下VSI的小信号模型。为了验证所建立的大信号和小信号模型的准确性，进行了Matlab/Simulink仿真。将仿真结果与模型结果进行了比较，并通过实验对模型进行了验证。所建立的模型可作为设计和分析工具。此外，在不需要开关暂态过程建模的情况下，所建立的模型可以作为系统研究的快速有效的仿真工具。如今，连接到电网的VSI数量呈指数增长。使用本文所开发的模型，可以大大减少使用仿真软件包模拟VSI所需的时间和计算量。

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.

1. 引言

2. 三相电压源逆变器

3. 电力电子变换器建模

4. 三相SVPWM电压源逆变器的状态空间平均模型

5. 基于仿真与实验的模型验证

6. 结论与未来工作展望

附录A SVPWM开关状态的状态空间表示

附录B SVPWM扇区的平均状态空间模型

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