Research on Proportional Complex Integral Control Strategy for Rod Position Detector Power Supply System
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摘要: 单相逆变器在核电厂棒位检测系统中工作于电压源模式，其负载棒位探测器通常等效为阻感性负载，而阻感性负载连接至逆变器输出端不能稳定地输出正弦电压。为此，本文针对单相逆变器棒位探测器电源系统提出了一种比例复数积分（PCI）控制策略，并给出控制器参数设计方法。首先，基于系统的频域模型推导出电流环比例积分（PI）控制器和电压环PCI控制器参数解析式，并考虑负载参数对系统稳定性的影响。然后，设定期望的电流环和电压环开环截止频率和相位裕度，通过本文方法解析计算PI和PCI控制器参数。最后，通过MATLAB仿真验证了本文方法能够使阻感性负载下的单相逆变器得到稳定的输出电压与输出电流，且输出电流谐波畸变率（THD）<0.3%。该方法可以为单相逆变器棒位探测器电源系统控制提供指导。
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关键词:
- 单相逆变器 /
- 阻感性负载 /
- 比例复数积分（PCI）控制 /
- 参数设计
Abstract: Single-phase inverter works in voltage source mode in rod position detection system of nuclear power plant. The load rod position detector is usually equivalent to a inductive load, but inductive load connected to the output of the inverter cannot output a stable sinusoidal voltage. In this paper, a proportional complex integral (PCI) control strategy is proposed for the power supply system of single-phase inverter rod position detector, and the parameter design method of the controller is given. First, based on the frequency domain model of the system, the analytical expressions of the parameters of the current loop proportional integral (PI) controller and the voltage loop PCI controller are derived, and the influence of the load parameters on the system stability is considered. Then, the expected open loop cut-off frequency and phase margin of current loop and voltage loop are set, and the PI and PCI controller parameters are analytically calculated by this method. Finally, through MATLAB simulation, it is verified that the proposed method can obtain stable output voltage and output current of single-phase inverter under inductive load, and the output current total harmonic distortion (THD) is less than 0.3%. This method can provide guidance for the power supply system control of single-phase inverter rod position detector. -
图 1 棒位探测器电源系统主电路拓扑和控制结构
$ {V_{{\text{T1}}}} $~$ {V_{{\text{T4}}}} $—绝缘栅双极型晶体管（IGBT）；$ {U_{{\text{dc}}}} $—直流侧电压；$ {u_{{\text{in}}}} $—逆变器输出电压瞬时值；L—滤波电感；C—滤波电容；$ {i_{\text{L}}} $—电感电流；$ {i_{\text{o}}} $—输出电流；$ {i_{{\text{Lref}}}} $—通过电压环控制得到的电流环参考电流；$ {u_{\text{o}}} $—输出电压；$ {u_{{\text{oref}}}} $—输出电压参考值；$ {g_{\text{1}}} $~$ {g_{\text{4}}} $—脉宽调制（PWM）波
Figure 1. Main Circuit Topology and Control Scheme of the Rod Position Detector Power Supply System
图 2 棒位探测器电源系统控制框图
$ {\varepsilon _{\text{v}}} $—实际输出电压与参考输出电压误差；$ {\varepsilon _{\text{i}}} $—实际电感电流与参考电感电流误差；$ {G_{{\text{ci}}}}\left( s \right) $、$ {G_{{\text{cv}}}}\left( s \right) $—电流PI控制器和电压PCI控制器的传递函数；$ {K_{{\text{pwm}}}} $—逆变器增益，通常取$ {K_{{\text{pwm}}}} = {U_{{\text{dc}}}}/{u_{\text{r}}} $；$ {u_{\text{r}}} $—三角载波幅值；s—拉普拉斯算子
Figure 2. Control Block Diagram of the Rod Position Detector Power Supply System
图 4 不同
$ {f_{{\text{ci}}}} $ 下电流环闭环单位阶跃响应Figure 4. Unit Step Response of Current Closed Loop under Different fci
图 5 电流环校正前后开环传递函数伯德图
Figure 5. Bode Diagram of Current Open Loop Transfer Function Before and After Current Loop Correction
图 8 电压环校正前后开环传递函数伯德图
Figure 8. Bode Diagram of Voltage Open Loop Transfer Function Before and After Voltage Loop Correction
表 1 仿真模型参数
Table 1. Parameters of Simulation Model
参数 取值 ${U_{{\text{dc}}}}$/V 24 ${u_{\text{o}}}$/V 15 L/mH 0.7 C/μF 100 ${f_{{\text{sw}}}}$/kHz 10 
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表 2 不同
$ {f_{{\text{ci}}}} $ 下电流环PI控制器参数Table 2. Current Loop PI Controller Parameters under Different fci
${f_{{\text{ci}}}}$/Hz ${k_{{\text{cp}}}}$ ${k_{{\text{ci}}}}$ $\sigma $/% ${t_{\text{r}}}$/ms ${t_{\text{s}}}$/ms 500 0.065 92.87 0 5.35 8.34 800 0.046 166.09 3.49 2.99 7.52 900 0.071 277.74 5.92 2.46 6.30 1000 0.094 401.82 6.98 0.32 5.09 1200 0.135 687.56 6.96 0.24 4.76 1400 0.172 1023.98 6.39 0.18 4.32 1500 0.190 1211.30 7.20 0.16 4.17 1600 0.208 1411.40 9.49 0.15 4.04 σ—超调量；tr—上升时间；ts—调节时间
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