Reduced-order Modeling and Control Parameter Design of High-Frequency Oscillation in Low-Voltage DC System

doi:10.11930/j.issn.1004-9649.202302050

Abstract

Abstract:

The interaction between voltage-source converters, DC lines and constant power loads (CPLs) leads to high-frequency oscillation instability in low-voltage DC systems. For this reason, a normalized reduced-order model applicable to the analysis of high-frequency oscillations of the system is established in this paper, with the causes of the high-frequency oscillation instability of the system explained from the perspective of the normalized reduced-order model. On the basis, an analysis method of feasible region of control parameters that can inhibit high-frequency oscillations is proposed. This feasible region cannot only present visually the low-frequency stability or high-frequency instability regions of the system under different control parameters, but also show customized design curves of the system-level dynamic characteristics (oscillation frequency and damping factor) in detail in the stability region. Finally, the simulation example of the low-voltage DC system is built via PLECS software, with the validity of the normalized reduced-order model and the feasible region of control parameters verified by multiple sets of simulation time domain results.

Key words: low-voltage DC system, high-frequency oscillation, normalized reduced-order model, control parameters, feasible region

Xiao LIU, Chunfa DONG, Hanbing QU, Guangyuan YU, Shancheng SU. Reduced-order Modeling and Control Parameter Design of High-Frequency Oscillation in Low-Voltage DC System[J]. Electric Power, 2024, 57(2): 82-93.

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URL: https://www.electricpower.com.cn/EN/10.11930/j.issn.1004-9649.202302050

https://www.electricpower.com.cn/EN/Y2024/V57/I2/82

Figures/Tables 24

Fig.1 Topological structure and control diagram of a typical low-voltage DC system

Fig.2 Simulation waveform of low-voltage DC system

Fig.3 Topological structure and control block diagram of the normalized reduced-order model

Fig.4 Simulation waveform of the normalized reduced-order model

Fig.5 Zero-pole diagram of transfer function Gudeq_line(s)

Fig.6 Bode diagram of transfer function Guiudsys(s) and Guiudeq_line(s)

Fig.7 Zero-pole diagram of transfer function Guiudeq_line(s)

Fig.8 Bode diagram of transfer function Guiudeq_line(s) with and without active damping compensation

Fig.9 Zero-pole diagram of transfer function Guiudeq_line(s) with and without active damping compensation

Fig.10 Flowchart for the feasible region of voltage control parameters

Fig.11 Feasible region of voltage control parameters

Table 1 Voltage control parameters of Group 2~6

场景	电压比例/积分系数	振荡频率/Hz	阻尼比
第2组	0.332/121	15	0.175
第3组	0.418/491	30	0.175
第4组	0.331/863	40	0.175
第5组	0.159/481	30	0.125
第6组	0.029/481	30	0.100

Fig.12 Bode diagram of transfer function Guiudeq_line(s) at Group 2 parameters

Fig.13 Zero-pole diagram of transfer function Guiudeq_line(s) at Group 2 parameters

Fig.14 Feasible region of voltage control parameters with a current proportional gain of 0.035

Fig.15 Feasible region of voltage control parameters with a current proportional gain of 0.050

Table 2 Control parameters of Group 7~10

场景	电流比例/ 积分系数	电压比例/ 积分系数	振荡频率/Hz	阻尼比
第7组	0.035/40	0.392/219	20	0.175
第8组	0.050/40	0.852/227	20	0.325
第9组	0.020/20	0.640/347	25	0.225
第10组	0.020/60	0.200/335	25	0.125

Fig.16 Feasible region of voltage control parameters with a current integral gain of 20

Fig.17 Feasible region of voltage control parameters with a current integral gain of 60

Fig.18 Simulation waveform with active damping compensation

Fig.19 Simulation results for Group 2~4 parameters

Fig.20 Simulation results for Group 3, Group 5 and Group 6 parameters

Fig.21 Time domain simulation results for Group 7 and Group 8 parameters

Fig.22 Time domain simulation results for Group 9 and Group 10 parameters

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