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本文为美国亚利桑那州立大学（作者：Aratrik Sarkar）的硕士论文，共166页。
本文对三相逆变器的设计和控制进行了研究，这种逆变器用于产生来自直流源的三相正弦电压和电流，是从可再生能源注入电网的关键。因为许多可再生能源是直流源（例如太阳能光伏）或需要储存在直流电池中，这些能源都是间歇性的（例如风能和太阳能）。本文对两类逆变器进行了研究，为每类逆变器提出了一种以控制为中心的设计过程。第一类逆变器是简单的，因为它们由三个解耦子系统组成，这种逆变器的特点是没有三相之间的互感。因此，不存在多变量耦合，采用分散的单输入单输出（SISO）控制理论足以产生可接受的控制设计。对于这类逆变器，为了检查控制跟随以及输入干扰和噪声衰减规范，提出了几类控制器的设计方案。这里的目标是阐明基本的折中关系，这种折中包括改进带内控制跟随和输出干扰衰减与带外噪声衰减的恶化。与这种逆变器相关的一个基本缺陷是它们的尺寸较大，这可以通过设计更小的内核来弥补。因此，自然导致在本项工作中考虑的第二类逆变器，这类逆变器的特点是具有显著的互感和多变量耦合。SISO控制理论通常不够充分，多输入多输出（MIMO）理论成为控制这些逆变器的关键。
This thesis addresses the design andcontrol of three phase inverters. Such inverters are used to producethree-phase sinusoidal voltages and currents from a DC source. They arecritical for injecting power from renewable energy sources into the grid. Thisis especially true since many of these sources of energy are DC sources (e.g.solar photovoltaic) or need to be stored in DC batteries because they areintermittent (e.g. wind and solar). Two classes of inverters are examined inthis thesis. A control-centric design procedure is presented for each class.The first class of inverters is simple in that they consist of three decoupledsubsystems. Such inverters are characterized by no mutual inductance betweenthe three phases. As such, no multivariable coupling is present and decentralizedsingle-input single-output (SISO) control theory suffices to generateacceptable control designs. For this class of inverters several families ofcontrollers are addressed in order to examine command following as well asinput disturbance and noise attenuation specifications. The goal here is toilluminate fundamental tradeoffs. Such tradeoffs include an improvement in thein-band command following and output disturbance attenuation versus adeterioration in out-of-band noise attenuation. A fundamental deficiencyassociated with such inverters is their large size. This can be remedied bydesigning a smaller core. This naturally leads to the second class of invertersconsidered in this work. These inverters are characterized by significantmutual inductances and multivariable coupling. As such, SISO control theory isgenerally not adequate and multiple-input multiple-output (MIMO) theory becomesessential for controlling these inverters.
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