Resonance Suppression of Photovoltaic DC Boost Collection System Based on Active and Passive Damping Cooperative Control

doi:10.11930/j.issn.1004-9649.202402044

Abstract

Abstract:

In a photovoltaic DC collection system, the impedance matching between the LC circuit and switching circuit in the DC/DC converter is easy to generate resonance, which leads to the system stability deterioration or even collapse. In order to solve the resonant problem of the converter due to impedance matching, the active and passive damping cooperative control is proposed to eliminate the resonance. Firstly, the small-signal impedance model of the converter under different operating conditions is established. Secondly, the impedance ratio criterion is used to analyze the stability differences of the system, and the influence of different virtual resistance values on the system stability is discussed. Finally, by using the ratio of the equivalent impedance amplitude between the angular frequency point at which the resonance peak is generated and its neighboring normal angular frequency point limited between [0.95, 1.15], the closed-loop output impedance amplitude of the converter under MPPT control with the value of the damping resistor is obtained to be improved by about 1.5 times. The results show that compared with only active or passive damping control, the proposed cooperative control strategy increases the amplitude at resonance generation from -15dB to 40.5dB, which is about 4 times, and the system has large amplitude margin and phase margin, which effectively improve the stability of the system.

Key words: photovoltaic power, DC boost collection, small-signal impedance model, active and passive damping, resonance suppression, stability analysis

Pengcheng PAN, Wenshun HAN, Xueli GUO. Resonance Suppression of Photovoltaic DC Boost Collection System Based on Active and Passive Damping Cooperative Control[J]. Electric Power, 2025, 58(3): 20-30.

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URL: https://www.electricpower.com.cn/EN/10.11930/j.issn.1004-9649.202402044

https://www.electricpower.com.cn/EN/Y2025/V58/I3/20

Figures/Tables 20

Fig.1 Topology of the photovoltaic DC voltage boosting system

Fig.2 DC/DC converter internal structure

Fig.3 Time domain equivalent model of DC/DC converter

Fig.4 Control block diagram and small-signal model of converter under MPPT control

Fig.5 Control block diagram and small-signal model of converter under fixed DC voltage control

Fig.6 Structure diagram of MMC

Fig.7 Block diagram of constant DC voltage control strategy

Fig.8 Small-signal equivalent circuit for system

Table 1 PV System parameters and control parameters

换流器	参数	数值
DC/DC换流器	滤波电容 C_i/F	0.0006
	滤波电容 C_o/F	0.0014
	Boost电感 L/H	0.003
	虚拟电阻控制滤波电感 L₁/mH	0.001
	虚拟电阻控制滤波电阻 R₁/Ω	0.002
	MPPT控制PI参数 k_p1	100
	MPPT控制PI参数 k_i1	0.1
	定直流电压控制PI参数 k_p2	0.1
	定直流电压控制PI参数 k_i2	5
	变压器容量/kW	500
	变压器变比 n_T	1:20
半桥MMC	电平数	71
	额定容量/(MV·A)	2
	额定直流电压/kV	60
	桥臂电感/H	0.003
	子模块电容/F	0.0015
	子模块通态电容/Ω	0.001
	MMC外环控制参数 k_p3	10
	MMC外环控制参数 k_i3	0.01
	MMC内环控制参数 k_p4	8
	MMC内环控制参数 k_i4	0.06

Table 2 Main transformer and AC parameters in the system

类型	参数	数值
主变	容量/(MV·A)	2
	变比/kV	220/35
	连接方式	Ynd
	短路阻抗/%	10
交流电网	电压等级/kV	220
直流线路	电阻L_Line/mH	13
直流线路	电感R_Line/ Ω	0.54

Fig.9 Validation of simplified impedance model

Fig.10 Bode diagram of LC circuit with different parameter values

Fig.11 Nyquist diagram of Tm with and without compensation

Fig.12 Bode diagram and Nyquist diagram of different Rv under constant DC voltage control

Fig.13 Bode diagram of $ {Z'_{{\text{PV}}}} $under different control strategies by adding different X

Fig.14 Bode diagram of converter output and loop gain Nyquist diagram under active and passive cooperative control

Fig.15 Simulation waveforms of the system under passive damping

Fig.16 Simulation waveforms of the system under active damping

Fig.17 Simulation waveforms of the system under active and passive damping cooperative control strategies

Fig.18 The simulation waveform on the AC side of adding damping resistors and virtual resistors to control

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