Effect of Hydrogen Production System on Sub-Synchronous Oscillation Characteristics of Doubly Fed Induction Generator Systems With Series Compensation

doi:10.12096/j.2096-4528.pgt.23133

Abstract

Abstract:

Objectives The grid-connected operation of large-scale wind turbines increases the risks of sub-synchronous oscillation (SSO) in power systems, to address these issues, this study conducts an in-depth analysis of the effect of hydrogen production systems on the characteristics of SSO of wind power system. Methods Firstly, the models of doubly fed induction generator system, series-compensated transmission system, and hydrogen production system are established. Building on this, based on the internal thermodynamic and electrochemical dynamic characteristics of the electrolyzer in the hydrogen production system, an electromagnetic transient (EMT) model of the hydrogen production device is established on the PSCAD/EMTDC simulation platform. Finally, it is integrated into a doubly fed induction generator with series compensation for external transmission to conduct time-domain simulation analysis. Results The hydrogen production system participates in the SSO of the system under specific control parameters. The integration of the hydrogen production system into the long-distance transmission system of wind power—as a clean energy solution—can mitigate SSO in the grid-connected system to a certain extent, thereby offering a new approach to addressing SSO issues. Conclusions The integration of the hydrogen production system improves the damping of the wind-hydrogen coupled grid-connected system, leading to improved system stability.

Key words: new energy, hydrogen energy, wind turbines, hydrogen production system, sub-synchronous oscillation (SSO), doubly fed induction generator, series compensation, eigenvalue analysis, time-domain simulation

CLC Number:

TK 83

Yanan LU, Tao XU, Zenan LIU. Effect of Hydrogen Production System on Sub-Synchronous Oscillation Characteristics of Doubly Fed Induction Generator Systems With Series Compensation[J]. Power Generation Technology, 2025, 46(4): 715-726.

Figures/Tables 21

Fig. 1 Diagram of wind-hydrogen coupled grid-connected system with series compensation

Tab. 1 System main parameters

参数	数值	参数	数值
额定电压P_N/MW	5	额定电压U_N/kV	0.69
定子绕组电阻R_s/pu	0.005 4	风机定转子比例系数K_P1—K_P8	2
转子绕组电阻R_r/pu	0.006 07	风机定转子比例系数K_P1—K_P8	2
转子绕组电阻R_r/pu	0.006 07	风机定转子积分系数T_i1—T_i8	0.05
定子漏电感L_s/pu	0.10	制氢系统外环比例系数K_P9	2
转子漏电感L_r/pu	0.11	制氢系统外环积分系数T_i9	0.05
励磁电感L_m/pu	4.5	制氢系统内环比例系数K_P10	1
串补电容C/pu	378.954	制氢系统内环积分系数T_i10	0.05
额定电压U_N/kV	0.69

Fig. 2 Overall architecture of renewable energy hydrogen production system

Fig. 3 Electromagnetic transient model of low-voltage hydrogen production system

Fig. 4 Block diagram of control of phase-shift full bridge converter

Tab. 2 State variables

状态变量	分类
Δω， Δω_r， Δθ	轴系模型
$Δ E d', Δ E q' Δ i s d, Δ i s q$	感应发电机
ΔU_dc	直流母线
Δz₁， Δz₂， Δz₃， Δz₄，	变流器转子侧
Δi_g_d， Δi_g_q， Δz₅， Δz₆， Δz₇	变流器网侧
Δu_s_d， Δu_s_q， Δi_l_d， Δi_l_q， Δu_c_d， Δu_c_q Δi_d， Δi_q， Δv_EL， Δi_Lf1， Δi_Lf2， Δv_DC	串联补偿线路制氢系统

Tab. 2 State variables

状态变量	分类
Δω， Δω_r， Δθ	轴系模型
$Δ E d', Δ E q' Δ i s d, Δ i s q$	感应发电机
ΔU_dc	直流母线
Δz₁， Δz₂， Δz₃， Δz₄，	变流器转子侧
Δi_g_d， Δi_g_q， Δz₅， Δz₆， Δz₇	变流器网侧
Δu_s_d， Δu_s_q， Δi_l_d， Δi_l_q， Δu_c_d， Δu_c_q Δi_d， Δi_q， Δv_EL， Δi_Lf1， Δi_Lf2， Δv_DC	串联补偿线路制氢系统

Tab. 3 System oscillation modes

模态序号	特征值	振荡频率/Hz
$λ 1,2$	-38.12±j1 690.89	269.11
$λ 3.4$	-67.39±j701.47	111.64
$λ 7,8$	-18.87±j381.39	60.7
$λ 9,10$	0.89±j238.46	37.95
$λ 15,16$	-1.542±j8.65	1.38
$λ 21,22$	-36.93±j1.16	0.185

Tab. 3 System oscillation modes

模态序号	特征值	振荡频率/Hz
$λ 1,2$	-38.12±j1 690.89	269.11
$λ 3.4$	-67.39±j701.47	111.64
$λ 7,8$	-18.87±j381.39	60.7
$λ 9,10$	0.89±j238.46	37.95
$λ 15,16$	-1.542±j8.65	1.38
$λ 21,22$	-36.93±j1.16	0.185

Fig. 5 Participation factors

Fig. 6 DC current waveform of electrolyzer

Fig. 7 FFT analysis of DC current in electrolyzer

Fig. 8 Damping ratio at different degrees of series compensation

Fig. 9 Root locus of SSO mode with varying Ki9

Fig. 10 Root locus of SSO mode with varying KP9

Tab. 4 Calculation results of eigenvalues

工况	串补度	特征值	阻尼比
未投制氢系统	20%	-2.01±j241.83	0.008 3
	30%	0.91±j238.70	-0.003 8
	40%	1.79±j235.17	-0.007 6
投制氢系统	20%	-2.86±j242.67	0.011 8
	30%	0.54±j239.96	-0.002 3
	40%	1.56±j235.46	-0.006 6

Fig. 11 Effect of series compensation degree on output power

Tab. 5 Calculation results of eigenvalues

工况	$K P 3$	特征值	阻尼比
未投制氢系统	0.8	$- 2.1 ± j 235.91$	0.009
	1.2	$- 1.32 ± j 236.84$	0.005 8
	1.6	$0.51 ± j 238.12$	-0.002 1
	2.0	$0.9 ± j 238.70$	-0.003 8
投制氢系统	0.8	$- 2.8 ± j 236.34$	0.012
	1.2	$- 1.74 ± j 237.26$	0.007 3
	1.6	$0.38 ± j 238.58$	-0.001 6
	2.0	$0.89 ± j 238.96$	-0.002 3

Tab. 5 Calculation results of eigenvalues

工况	$K P 3$	特征值	阻尼比
未投制氢系统	0.8	$- 2.1 ± j 235.91$	0.009
	1.2	$- 1.32 ± j 236.84$	0.005 8
	1.6	$0.51 ± j 238.12$	-0.002 1
	2.0	$0.9 ± j 238.70$	-0.003 8
投制氢系统	0.8	$- 2.8 ± j 236.34$	0.012
	1.2	$- 1.74 ± j 237.26$	0.007 3
	1.6	$0.38 ± j 238.58$	-0.001 6
	2.0	$0.89 ± j 238.96$	-0.002 3

Fig. 12 Effect of RSC inner loop gain on output power

Fig. 13 Root locus of SSO mode with varying hydrogen production capacity

Fig. 14 Effect of 30 MW hydrogen production system capacity on active power output

Fig. 15 Effect of 70 MW hydrogen production system capacity on active power output

Fig. 16 Effect of 120 MW hydrogen production system capacity on active power output

References 25

[1]	程启明，周伟成，程尹曼，等．基于线性自抗扰控制的双馈风机次同步振荡抑制研究[J]．电力建设，2024，45(4)：134-146．
	CHENG Q M， ZHOU W C， CHENG Y M，et al ．Research on suppressing sub-synchronous oscillation of doubly-fed induction generator based on linear active disturbance rejection control[J]．Electric Power Construction，2024，45(4)：134-146．
[2]	戴礼国，杨浩，陈力，等．基于深度强化学习的风电柔直并网系统次同步振荡抑制方法[J]．智慧电力，2023，51(4)：1-7．
	DAI L G， YANG H， CHEN L，et al ．Subsynchronous oscillation suppression method for flexible direct grid-connected wind power system based on deep reinforcement learning[J]．Smart Power，2023，51(4)：1-7．
[3]	张鑫宇，薛峰，李碧君，等．双馈风场串补系统次同步振荡紧急控制策略[J]．电力工程技术，2023，42(5)：108-116．
	ZHANG X Y， XUE F， LI B J，et al ．Emergency control strategy for subsynchronous oscillation of DFIG-based wind farms with a series-compensated line [J]．Electric Power Engineering Technology，2023，42(5)：108-116．
[4]	陈永权，方瑜．多组合虚拟电厂中氢储能低碳经济配置与优化[J]．电网与清洁能源，2024，40(3)：107-118．
	CHEN Y Q， FANG Y ．Low carbon economic configuration and optimization of hydrogen storage in multi-portfolio virtual power plants[J]．Power System and Clean Energy，2024，40(3)：107-118．
[5]	曹冬惠，杜冬梅，何青．氢储能安全及其检测技术综述[J]．发电技术，2023，44(4)：431-442．
	CAO D H， DU D M， HE Q ．Summary of hydrogen energy storage safety and its detection technology[J]．Power Generation Technology，2023，44(4)：431-442．
[6]	毕锐，王孝淦，袁华凯，等．考虑供需双侧响应和碳交易的氢能综合能源系统鲁棒调度[J]．电力系统保护与控制，2023，51(12)：122-132．
	BI R， WANG X G， YUAN H K，et al ．Robust dispatch of a hydrogen integrated energy system considering double side response and carbon trading mechanism[J]．Power System Protection and Control，2023，51(12)：122-132．
[7]	胡俊杰，童宇轩，刘雪涛，等．计及精细化氢能利用的综合能源系统多时间尺度鲁棒优化策略[J]．电工技术学报，2024，39(5)：1419-1435．
	HU J J， TONG Y X， LIU X T，et al ．Multi-time-scale robust optimization strategy for integrated energy system considering the refinement of hydrogen energy use[J]．Transactions of China Electrotechnical Society，2024，39(5)：1419-1435．
[8]	潘超，郭晨雨，刘继哲，等．电-氢混合储能参与的多能系统低碳优化[J]．电网与清洁能源，2024，40(2)：21-29．
	PAN C， GUO C Y， LIU J Z，et al ．A study on low-carbon optimization of the multi-energy system with electricity-hydrogen hybrid energy storage participation[J]．Power System and Clean Energy，2024，40(2)：21-29．
[9]	尹梦雪，刘辉，李蕴红，等．风电-串补输电系统次同步谐振特性与风电机组数量及线路参数关系研究[J]．太阳能学报，2021，42(1)：174-179．
	YIN M X， LIU H， LI Y H，et al ．Research on impact on sub-synchronous resonance risk from dfig number and grid structure in Guyuan area[J]．Acta Energiae Solaris Sinica，2021，42(1)：174-179．
[10]	董晓亮，田旭，张勇，等．沽源风电场串补输电系统次同步谐振典型事件及影响因素分析[J]．高电压技术，2017，43(1)：321-328．
	DONG X L， TIAN X， ZHANG Y，et al ．Practical SSR incidence and influencing factor analysis of DFIG-based series-compensated transmission system in Guyuan farms[J]．High Voltage Engineering，2017，43(1)：321-328．
[11]	ZHU C， FAN L L， HU M Q ．Control and analysis of DFIG-based wind turbines in a series compensated network for SSR damping[C]//Power & Energy Society General Meeting．Detroit，Michigan，USA：IEEE，2010：5590091． doi:10.1109/pes.2010.5590091
[12]	XIE X， ZHANG X， LIU H，et al ．Characteristic analysis of subsynchronous resonance in practical wind farms connected to series-compensated transmissions[J]．IEEE Transactions on Energy Conversion，2017，32(3)：1117-1126． doi:10.1109/tec.2017.2676024
[13]	GONZALEZ A， MCKEOGH E， GALLACHO B O ．The role of hydrogen in high wind energypenetration electricity systems：the Irish case[J]．Renewable Energy，2003，29(4)：471-489． doi:10.1016/j.renene.2003.07.006
[14]	尹文良，芮晓明，武鑫．1.5 MW风电制氢系统建模分析与仿真研究[EB/OL]．(2016-05-23)[2024-02-12]．．
	YIN W L， RUI X M， WU X ．Modeling analysis and simulation research of 1.5MW wind power hydrogen production system[EB/OL]．(2016-05-23)[2024-02-12]．．．
[15]	赵强，张雅洁，谢小荣，等．基于可再生能源制氢系统附加阻尼控制的电力系统次同步振荡抑制方法[J]．中国电机工程学报，2019，39(13)：3728-3735．
	ZHAO Q， ZHANG Y J， XIE X R，et al ．Mitigation of subsynchronous oscillations based on renewable energy hydrogen production system and its supplementary damping control[J]．Proceedings of the CSEE，2019，39(13)：3728-3735．
[16]	马天辉，马巍巍，谷怀广，等．基于制氢协同阻尼控制技术的次同步振荡抑制研究[J]．电气传动，2022，52(8)：41-47．
	MA T H， MA W W， GU H G，et al ．Research on the suppression of subsynchronous oscillation based on the coordinated damping control technology of hydrogen production[J]．Electric Drive，2022，52(8)：41-47．
[17]	贾祺．风电场等值建模及并网系统的次同步振荡特性研究[D]．吉林：东北电力大学，2021．
	JIA Q ．Equivalent modeling of wind farm and study on subsynchronous oscillation characteristics of grid-connected system[D]．Jilin：Northeast Dianli University，2021．
[18]	钱纹，赵岳恒，胡凯，等．双馈风电场并网次同步振荡分析与抑制方法研究[J]．电气自动化，2021，43(1)：41-44．
	QIAN W， ZHAO Y H， HU K，et al ．Analysis of grid connection sub-synchronous oscillation and research of suppression method in doubly-fed wind farms[J]．Electrical Automation，2021，43(1)：41-44．
[19]	董文凯，王洋，王海风．用于小信号稳定性分析的风电机群单机等值模型[J]．电网技术，2021，45(4)：1241-1249．
	DONG W K， WANG Y， WANG H F ．Single-machine equivalent model of a group of wind turbine generators for small-signal stability analysis[J]．Power System Technology，2021，45(4)：1241-1249．
[20]	XIE X， WANG S， LIU H，et al ．Hydrogen production equipment-based supplementary damping control to mitigate subsynchronous oscillation in wind power systems[J]．IET Renewable Power Generation，2019，13(14)：2715-2722． doi:10.1049/iet-rpg.2018.5882
[21]	何青，沈轶．风氢耦合储能系统技术发展现状[J]．热力发电，2021，50(8)：9-17．
	HE Q， SHEN Y ．Development status of hydrogen energy storage system coupled wind power generation[J]．Thermal Power Generation，2021，50(8)：9-17．
[22]	PANITZ M， CHRISTOPOULOS C ．Dynamic modelling of the electromagnetic behaviour of cavities with randomly positioned boundaries[C]//2012 International Conference on Electromagnetics in Advanced Applications．Cape Town，South Africa：IEEE，2012：182-185． doi:10.1109/iceaa.2012.6328615
[23]	王龙．风电场并网系统的次同步振荡问题研究[D]．武汉：华中科技大学，2018．
	WANG L ．Study on subsynchronous oscillation of wind farm grid-connected system[D]．Wuhan：Huazhong University of Science and Technology，2018．
[24]	LU X， DU B， ZHOU S，et al ．Optimization of power allocation for wind-hydrogen system multi-stack PEM water electrolyzer considering degradation conditions[J]．International Journal of Hydrogen Energy，2023，48(15)：5850-5872． doi:10.1016/j.ijhydene.2022.11.092
[25]	孔令国，宫健，杨士慧，等．DC/DC隔离型制氢电源发展现状与趋势[J]．发电技术，2023，43(4)：443-451．
	KONG L G， GONG J， YANG S H，et al ．Development status and trend of DC/DC isolated hydrogen production power supply[J]．Power Generation Technology，2023，43(4)：443-451．