共模-差模电压型控制连续导电模式单电感双输出Boost变换器交叉影响特性分析
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摘要
该文以单电感双输出(SIDO)Boost变换器为研究对象,详细分析电感电流工作于连续导电模式(CCM)的共模-差模电压型(CMV-DMV)控制SIDOBoost变换器的工作原理。采用时间平均等效电路建模方法,推导主电路的控制-输出、输出阻抗、交叉影响阻抗等传递函数。在此基础上,建立CMV-DMV控制CCMSIDOBoost变换器的闭环小信号模型,并利用Bode图从频域的角度分析变换器两条输出支路在不同输出电压等级下的交叉影响特性。研究结果表明,在两路输出电压不等时,CMV-DMV控制CCM SIDO Boost变换器的高压输出支路对低压输出支路的交叉影响较小;在两路输出电压相等时,先导通输出支路对后导通输出支路的交叉影响较大。实验结果验证了理论分析的正确性。
Taking single-inductor dual-output(SIDO) Boost converter in continuous conduction mode(CCM) as the research object, the working principle of CCM SIDO Boost converter controlled by common-mode voltage and differential-mode voltage(CMV-DMV) is analyzed in detail. The time-average equivalent circuit modeling approach is used to derive the transfer functions, such as control to output, output impedance and cross-regulation impedance, and so on. By establishing the closed-loop small signal model of CMV-DMV controlled CCM SIDO Boost converter, the cross-regulation characteristics in different output voltage levels are discussed by bode diagram in frequency-domain. The results show that, for CMV-DMV controlled CCM SIDO Boost converter, the cross-regulation of high-voltage output to low-voltage output is smaller than that of low-voltage output to high-voltage output when the two output voltages are not equal, while the cross-regulation of the first turn-on output branch to the second one is bigger than that of the second output branch to the first one when the two output voltages are equal. Finally, the correctness of the theoretical analysis is verified by the experimental results.
Taking single-inductor dual-output(SIDO) Boost converter in continuous conduction mode(CCM) as the research object, the working principle of CCM SIDO Boost converter controlled by common-mode voltage and differential-mode voltage(CMV-DMV) is analyzed in detail. The time-average equivalent circuit modeling approach is used to derive the transfer functions, such as control to output, output impedance and cross-regulation impedance, and so on. By establishing the closed-loop small signal model of CMV-DMV controlled CCM SIDO Boost converter, the cross-regulation characteristics in different output voltage levels are discussed by bode diagram in frequency-domain. The results show that, for CMV-DMV controlled CCM SIDO Boost converter, the cross-regulation of high-voltage output to low-voltage output is smaller than that of low-voltage output to high-voltage output when the two output voltages are not equal, while the cross-regulation of the first turn-on output branch to the second one is bigger than that of the second output branch to the first one when the two output voltages are equal. Finally, the correctness of the theoretical analysis is verified by the experimental results.
引文
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[10]王瑶,许建平,周国华.电压型控制SIDO CCMBuck变换器的统一离散迭代映射模型及稳定性研究[J].中国电机工程学报,2018,38(9):2717-2727.Wang Yao,Xu Jianping,Zhou Guohua.Unified discrete iterative map model and stability research of voltage-mode controlled single-inductor dual-output CCM buck converter[J].Proceeding of the CSEE,2018,38(9):2717-2727.
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[16]王瑶,许建平,钟曙,等.单电感双输出CCMBuck变换器输出交叉影响分析[J].中国电机工程学报,2014,34(15):2371-2378.Wang Yao,Xu Jianping,Zhong Shu,et al.The cross regulation analysis of single-inductor dual-output buck converter[J].Proceedings of the CSEE,2014,34(15):2371-2378.
[17]Pradipta P,Jyotirmoy G,Amit P.Control scheme for reduced cross-regulation in single-inductor multipleoutput DC-DC converters[J].IEEE Transactions on Industrial Electronics,2013,60(11):5095-5104.
[18]Trevisan D,Mattavelli P,Tenti P.Digital control of single-inductor multiple-output step-down DC-DCconverters in CCM[J].IEEE Transactions on Industrial Electronics,2008,55(9):3476-3483.
[19]Xu Jianping.Modeling of switching DC-DCconverters by time-averaging equivalent circuit approach[J].International Journal of Electronics,1993,74(3):465-475.
[20]林天仁,李勇,麦瑞坤.基于LCL-S拓扑的感应电能传输系统的建模与控制方法[J].电工技术学报,2018,33(1):104-111.Lin Tianren,Li Yong,Mai Ruikun.Modeling and control method of inductive power transfer system based on LCL-S topology[J].Transactions of China Electrotechnical Society,2018,33(1):104-111.
[2]Moreno F V,El A A,Calvente J,et al.Dynamics and stability issues of a single-inductor dual-switching DC-DC converter[J].IEEE Transactions on Circuits and Systems I:Regular Papers,2010,57(2):415-426.
[3]周述晗,周国华,毛桂华,等.电流型控制单电感双输出开关变换器稳定性与瞬态特性分析[J].电工技术学报,2018,33(6):1374-1381.Zhou Shuhan,Zhou Guohua,Mao Guihua,et al.Stability and transient response analysis of currentmode controlled single-inductor dual-output converter[J].Transactions of China Electrotechnical Society,2018,33(6):1374-1381.
[4]曾君,孙伟华,刘俊峰.基于可控开关电容充放电平衡的多路LED驱动器[J].电工技术学报,2017,32(18):267-275.Zeng Jun,Sun Weihua,Liu Junfeng.Multi-channel LED driver based on charging and discharging balance of switch-controlled capacitor[J].Transactions of China Electrotechnical Society,201732(18):267-275.
[5]Hwu K I,Yau Y T.Applying one-comparator counter-based sampling to current sharing control of multichannel LED strings[J].IEEE Transactions on Industry Applications,2011,47(6):2413-2421.
[6]Barrado A,Olias E,Lazaro A,et al.PWM-PDmultiple output DC/DC converters:operation and control-loop modeling[J].IEEE Transactions on Power Electronics,2004,19(1):140-149.
[7]周述晗,周国华,陈兴.升压型单电感双输出变换器输出低电压的理论分析与实验验证[J].电工技术学报,2014,19(增刊1):218-225.Zhou Shuhan,Zhou Guohua,Chen Xing.Theoretical analysis and experimental verification of singleinductor dual-output boost converter with low voltage output[J].Transactions of China Electrotechnical Society,2014,19(S1):218-225.
[8]Dongwon K,Rincon M,Gabriel A.Single inductor multiple output switching DC-DC converters[J].IEEE Transactions on Circuits and SystemsⅡ:Express Briefs,2009,56(8):614-618.
[9]刘雪山,许建平,王楠,等.断续模式单电感双输出Buck功率因数校正变换器[J].电工技术学报,2015,30(22):62-70.Liu Xushan,Xu Jianping,Wang Nan,et al.Singleinductor dual output Buck power factor correction converter operating in discontinuous conduction mode[J].Transactions of China Electrotechnical Society,2015,30(22):62-70.
[10]王瑶,许建平,周国华.电压型控制SIDO CCMBuck变换器的统一离散迭代映射模型及稳定性研究[J].中国电机工程学报,2018,38(9):2717-2727.Wang Yao,Xu Jianping,Zhou Guohua.Unified discrete iterative map model and stability research of voltage-mode controlled single-inductor dual-output CCM buck converter[J].Proceeding of the CSEE,2018,38(9):2717-2727.
[11]王瑶.单电感双输出CCM Buck变换器输出支路交叉影响研究[D].成都:西南交通大学,2014.
[12]Yang Yang,Sun Liang,Wu Xiaobo.A singleinductor dualoutput buck converter with self-adapted PCCM method[C]//IEEE International Conference of Electron Devices and Solid-State Circuits,Xi’an,China,2009:87-90.
[13]Ma Dongsheng,Ki W H,Tsui C Y.A pseudoCCM/DCM SIMO switching converter with freewheel switching[J].IEEE Journal of Solid-State Circuits,2002,38(6):1007-1014.
[14]Lee Y H,Huang T C,Yang Y Y.Minimized transient and steady-state cross regulation in 55-nm CMOSsingle-inductor dual-output(SIDO)step-down DC-DC converter[J].IEEE Journal of Solid-State Circuits2011,46(11):2488-2499.
[15]Lin K Y,Huang C S,Chen D,et al.Modeling and design of feedback loops for a voltage-mode singleinductor dual-output Buck converter[C]//IEEE Power Electronics Specialists Conference,Rhodes,Sydney,2008:3389-3395.
[16]王瑶,许建平,钟曙,等.单电感双输出CCMBuck变换器输出交叉影响分析[J].中国电机工程学报,2014,34(15):2371-2378.Wang Yao,Xu Jianping,Zhong Shu,et al.The cross regulation analysis of single-inductor dual-output buck converter[J].Proceedings of the CSEE,2014,34(15):2371-2378.
[17]Pradipta P,Jyotirmoy G,Amit P.Control scheme for reduced cross-regulation in single-inductor multipleoutput DC-DC converters[J].IEEE Transactions on Industrial Electronics,2013,60(11):5095-5104.
[18]Trevisan D,Mattavelli P,Tenti P.Digital control of single-inductor multiple-output step-down DC-DCconverters in CCM[J].IEEE Transactions on Industrial Electronics,2008,55(9):3476-3483.
[19]Xu Jianping.Modeling of switching DC-DCconverters by time-averaging equivalent circuit approach[J].International Journal of Electronics,1993,74(3):465-475.
[20]林天仁,李勇,麦瑞坤.基于LCL-S拓扑的感应电能传输系统的建模与控制方法[J].电工技术学报,2018,33(1):104-111.Lin Tianren,Li Yong,Mai Ruikun.Modeling and control method of inductive power transfer system based on LCL-S topology[J].Transactions of China Electrotechnical Society,2018,33(1):104-111.