阻感性负载下单相离网逆变器稳定性分析与控制

丁凯; 陈章妍; 黄萌; 孙建军; 鲁莽; 舒欣; 陈; 胡羽川

引用本文:	丁凯,陈章妍,黄萌,等.阻感性负载下单相离网逆变器稳定性分析与控制[J].电力系统保护与控制,2017,45(6):80-86.
	DING Kai,CHEN Zhangyan,HUANG Meng,et al.Stability analysis and control of single-phase off-grid inverters with inductive loads[J].Power System Protection and Control,2017,45(6):80-86

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阻感性负载下单相离网逆变器稳定性分析与控制
丁凯¹,陈章妍²,黄萌²,孙建军²,鲁莽³,舒欣¹,陈 ^堃1,胡羽川¹
(1.国网湖北省电力公司电力科学研究院，湖北武汉 430077;2.武汉大学电气工程学院，湖北武汉 430072;3.国网孝感供电公司，湖北孝感 432000)

摘要:

独立运行的单相全桥逆变器通常工作于电压源模式，将直流源侧能量传送至交流负载侧。由于负载的多样性，系统具有复杂的动态特性。阻感性负载(如电机、空调等)连接至逆变器交流输出时，系统出现振荡失稳现象。首先，建立单相逆变器系统数学模型，并结合比例-谐振(PR)控制器特征对模型进行线性化处理，得出了单相逆变器系统的输出阻抗表达。其次，采用阻抗比判据方法，绘制阻抗比的奈奎斯特曲线，确定了系统不稳定运行的拒绝域，从而解析性地得到了感性负载、控制系数、滤波电容等对拒绝域的影响。结果表明，在实际运行参数范围内，随逆变器的比例系数、滤波电感的减小，或者滤波电容、滤波电感串联电阻的增大，阻感性负载下的单相逆变器趋于稳定，可得到稳定的输出电压波形。

关键词: 单相全桥逆变器阻感性负载比例-谐振控制稳定判据拒绝域

DOI：10.7667/PSPC160427

分类号:

基金项目:国家自然科学基金青年科学基金项目(51507118);湖北省科技支撑计划(2015BAA109);中央高校基本科研业务费专项资金(410500078)

Stability analysis and control of single-phase off-grid inverters with inductive loads

DING Kai¹,CHEN Zhangyan²,HUANG Meng²,SUN Jianjun²,LU Mang³,SHU Xin¹,CHEN Kun¹,HU Yuchuan¹

(1. State Grid Hubei Electric Power Research Institute, Wuhan 430077, China;2. School of Electrical Engineering, Wuhan University, Wuhan 430072, China;3. State Grid Xiaogan Power Supply Company, Xiaogan 432000, China)

Abstract:

The standalone single-phase H-bridge inverter usually works in voltage-mode control, converting DC power to AC local loads. Due to the diversity of loads, the inverter may have rich dynamic behaviors. Oscillation instability occurs when the inductive loads (e.g., electric machine and air conditioner) are connected to AC output of the inverter. Firstly, a mathematical model is established for the single-phase inverter system, and the linearization is processed by taking into account the characteristics of proportional-resonant (PR) controller. Then the inverter output impedance can be derived. Secondly, according to the Nyquist criterion, the impedance ratio curves are plotted to determine the forbidden region of operation. The forbidden region is studied in an analytical way by varying the inductive load, control factor and filter capacitor. The results show that single-phase inverters with inductive loads can achieve stability by the reduction of proportional coefficient and filter inductance, or increase of filter capacitance and series resistor filter inductance in practical parameter ranges. This work is supported by Youth Science Fund of National Natural Science Foundation of China (No. 51507118), Hubei Science and Technology Support Program (No. 2015BAA109), and Fundamental Research Funds for the Central Universities (No. 410500078).

Key words: single-phase H-bridge inverter resistive-inductive load PR control stability criterion forbidden region

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