采用比例谐振和状态反馈的三相逆变器最优控制

王恒利 1; 付立军 1; 揭贵生 1; 肖飞 1; 万泽法 2

doi:10.7652/xjtuxb201308022

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采用比例谐振和状态反馈的三相逆变器最优控制

更新时间：2025-05-08

- 采用比例谐振和状态反馈的三相逆变器最优控制
- Optimal Control of Three-Phase Inverter Based on State-Feedback with Proportional-Resonant Control
- 西安交通大学学报 2013年47卷第8期页码：127-132
- 作者机构：
  
  海军工程大学舰船综合电力技术国防科技重点实验室,武汉,430033
- 作者简介：
- 基金信息：
  
  : 2013-01-27。作者简介: 王恒利(1984—),男,博士生;付立军(通信作者),男,教授,博士生导师。基金项目: 国家自然科学基金资助项目(51147009,51177170)
- DOI：10.7652/xjtuxb201308022
  中图分类号： TM46
- 网络首发：2013-08-10，
  
  纸质出版：2013
- 稿件说明：
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王恒利 1, 付立军 1, 揭贵生 1, 等. 采用比例谐振和状态反馈的三相逆变器最优控制[J]. 西安交通大学学报, 2013,47(8):127-132.

Optimal Control of Three-Phase Inverter Based on State-Feedback with Proportional-Resonant Control[J]. 2013, 47(8): 127-132.
王恒利 1, 付立军 1, 揭贵生 1, 等. 采用比例谐振和状态反馈的三相逆变器最优控制[J]. 西安交通大学学报, 2013,47(8):127-132. DOI： 10.7652/xjtuxb201308022.

Optimal Control of Three-Phase Inverter Based on State-Feedback with Proportional-Resonant Control[J]. 2013, 47(8): 127-132. DOI： 10.7652/xjtuxb201308022.

摘要

针对常规线性二次型调节器方法设计的三相逆变器控制系统无法实现指令跟踪

而根据线性二次型最优跟踪方法设计的控制系统虽然能实现指令跟踪

却无法消除系统非线性模型带来的稳态误差这个问题

提出了一种比例谐振和状态反馈控制策略。该策略根据内模原理

首先将输出反馈转化为状态反馈

其次将线性二次型最优控制的输出跟踪问题转化为状态调节器问题

从而解决了线性二次型调节器方法解决指令跟踪问题的两个不足

成功对三相逆变器控制参数进行了最优整定

通过仿真和430 kW样机验证了该策略不仅实现了指令跟踪要求

而且消除了稳态误差

控制系统具有良好的稳态和动态性能

输出电压总谐波畸变率小于1%

带30%不平衡负载时电压不平衡度小于1.5%。

Abstract

Conventional linear quadratic regulator(LQR)method is regarded as an unsatisfactory solution for voltage source inverter(VSI)systems because it can not ensure reference voltage command tracking. Although linear quadratic tracker(LQT)method can ensure command tracking performance

its control effect may be weakened when the system exhibits non-linear behavior because it can not eliminate steady-state amplitude and phase errors. This paper proposes a new controller based on state-feedback with proportional-resonant(PR)control for three-phase inverter system. Following redefining the LQR problem

this controller improves the capability of optimal tracking

which is placed within a general structure offered by the internal model principle(IMP)of control theory.The method solves these two drawbacks of LQR method in context of command tracking

and eliminates steady-state errors with good tracking performance as LQT. The simulation and experiment verify that the scheme is able to eliminate steady-state amplitude and phase errors and to provide nice dynamic and static characteristics. The total harmonic distortion of output voltage gets lower than 1%

and voltage unbalance factor lower than 1.5% with 30% unbalance load.

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references

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