Grid-Forming(GFM)converters are prone to fault-induced overcurrent and power angle instability during grid fault-induced voltage sags.To address this,this paper develops a multi-loop coordinated fault ridethrough(FRT)...Grid-Forming(GFM)converters are prone to fault-induced overcurrent and power angle instability during grid fault-induced voltage sags.To address this,this paper develops a multi-loop coordinated fault ridethrough(FRT)control strategy based on a power outer loop and voltage-current inner loops,aiming to enhance the stability and current-limiting capability of GFM converters during grid fault conditions.During voltage sags,the GFM converter’s voltage source behavior is maintained by dynamically adjusting the reactive power reference to provide voltage support,thereby effectively suppressing the steady-state component of the fault current.To address the active power imbalance induced by voltage sags,a dynamic active power reference correction method based on apparent power is designed to mitigate power angle oscillations and limit transient current.Moreover,an adaptive virtual impedance loop is implemented to enhance dynamic transient current-limiting performance during the fault initiation phase.This approach improves the responsiveness of the inner loop and ensures safe system operation under various fault severities.Under asymmetric fault conditions,a negative-sequence reactive current compensation strategy is incorporated to further suppress negative-sequence voltage and improve voltage symmetry.The proposed control scheme enables coordinated operation of multiple control objectives,including voltage support,current suppression,and power angle stability,across different fault scenarios.Finally,MATLAB/Simulink simulation results validate the effectiveness of the proposed strategy,showcasing its superior performance in current limiting and power angle stability,thereby significantly enhancing the system’s fault ride-through capability.展开更多
With continuously increasing of photovoltaic (PV) plant’s penetration, it has become a critical issue to improve the fault ride-through capability of PV plant. This paper refers to the German grid code, and the PV sy...With continuously increasing of photovoltaic (PV) plant’s penetration, it has become a critical issue to improve the fault ride-through capability of PV plant. This paper refers to the German grid code, and the PV system is controlled to keep grid connected, as well as inject reactive current to grid when fault occurs. The mathematical model of PV system is established and the fault characteristic is studied with respect to the control strategy. By analyzing the effect of reactive power supplied by the PV system to the point of common coupling (PCC) voltage, this paper proposes an adaptive voltage support control strategy to enhance the fault ride-through capability of PV system. The control strategy fully utilizes the PV system’s capability of voltage support and takes the safety of equipment into account as well. At last, the proposed control strategy is verified by simulation.展开更多
In order to ensure power system stability, modern wind turbines are required to be able to endure deep voltage dips. The specifications that determine the voltage dip versus time are called fault r/de-through （FRT） ...In order to ensure power system stability, modern wind turbines are required to be able to endure deep voltage dips. The specifications that determine the voltage dip versus time are called fault r/de-through （FRT） requirements. The purpose of this paper is not only to examine the FRT behavior of a full-power converter wind turbine but also to combine the power system viewpoint to the studies. It is not enough for the turbine to be FRT capable; the loss of mains （LOM） protection of the turbine must also be set to allow the FRT. Enabling FRT, however, means that the LOM protection settings must be loosen, which may sometimes pose a safety hazard. This article introduces unique real-time simulation environment and proposes an FRT method for a wind turbine that also takes the operation of LOM protection relay into account. Simulations are carried out using the simulation environment and results show that wind turbine is able to ride-through a symmetrical power system fault.展开更多
The installation of wind energy has increased rapidly around the world. The grid codes about the wind energy require wind turbine (WT) has the ability of fault (or low voltage) ride-through (FRT). To study the FRT ope...The installation of wind energy has increased rapidly around the world. The grid codes about the wind energy require wind turbine (WT) has the ability of fault (or low voltage) ride-through (FRT). To study the FRT operation of the wind farms, three methods were discussed. First, the rotor short current of doubly-fed induction generator (DFIG) was limited by introducing a rotor side protection circuit. Second, the voltage of DC bus was limited by a DC energy absorb circuit. Third, STATCOM was used to increase the low level voltages of the wind farm. Simulation under MATLAB was studied and the corresponding results were given and discussed. The methods proposed in this paper can limit the rotor short current and the DC voltage of the DFIG WT to some degree, but the voltage support to the power system during the fault largely depend on the installation place of STATCOM.展开更多
Power electronic interface of dispersed generation plays a very important role in connecting a dispersed generation with utility grids. A power electronic interface not only adjusts the amount of active and reactive p...Power electronic interface of dispersed generation plays a very important role in connecting a dispersed generation with utility grids. A power electronic interface not only adjusts the amount of active and reactive power injecting into a grid but also implements other importance duties as well. In this study, negative-sequence current injection has been fulfilled in three-phase power electronic interface for two important duties besides injecting reference power into utility grids. The first one is for islanding detection, and the other one is to enhance unbalance-fault ride-through capability of dispersed generation. This paper introduces a mechanism of negative-sequence injection based on controlling two separate coordinates of dq-control and explains the effect of negative-sequence injection in limiting the unbalanced currents generated from a dispersed generation. Using adaptive notch filter as a signal processing unit for the three-phase system, negative-sequence components are observed. The performance of entire control system is evaluated by time domain simulations, PSCAD/EMTDC （power systems computer aided design/electromagnetic transients including DC）.展开更多
Modeling and validation of full power converter wind turbine models with field measurement data are rarely reported in papers. In this paper an aggregated generic dynamic model of the wind farm consisting of full powe...Modeling and validation of full power converter wind turbine models with field measurement data are rarely reported in papers. In this paper an aggregated generic dynamic model of the wind farm consisting of full power converter wind turbines is composed and the model validation based on actual field measurements is performed. The paper is based on the measurements obtained from the real short circuit test applied to connection point of observed wind farm. The presented approach for validating the composed model and fault ride-through （FRT） capability for the whole wind park is unique in overall practice and its significance and importance is described and analyzed.展开更多
With the rapid development of large-scale offshore wind farms,efficient and reliable power transmission systems are urgently needed.Hybrid high-voltage direct current(HVDC)configurations combining a diode rectifier un...With the rapid development of large-scale offshore wind farms,efficient and reliable power transmission systems are urgently needed.Hybrid high-voltage direct current(HVDC)configurations combining a diode rectifier unit(DRU)and a modular multilevel converter(MMC)have emerged as a promising solution,offering advantages in cost-effectiveness and control capability.However,the uncontrollable nature of the DRU poses significant challenges for systemstability under offshore AC fault conditions,particularly due to its inability to provide fault current or voltage support.This paper investigates the offshore AC fault characteristics and fault ride-through(FRT)strategy of a hybrid offshore wind power transmission system based on a diode rectifier unit DRU and MMC.First,the dynamic response of the hybrid system under offshore symmetrical three-phase faults is analyzed.It is demonstrated that due to the unidirectional conduction nature of the DRU,its AC current rapidly drops to zero during faults,and the fault current is solely contributed by the wind turbine generators(WTGs)and wind farm MMC(WFMMC).Based on this analysis,a coordinated FRT strategy is proposed,which combines a segmented current limiting control for the wind-turbine(WT)grid-side converters(GSCs)and a constant AC current control for the WFMMC.The strategy ensures effective voltage support during the fault and prevents MMC current saturation during fault recovery,enabling fast and stable system restoration.Electromagnetic transient simulations in PSCAD/EMTDC verify the feasibility of the proposed fault ride-through strategy.展开更多
Multiport magnetic network energy routers(MNERs)are a key technology in the energy internet that can improve the consumption level of renewable energy,realize the integration of source-grid-load-storage,and ensure the...Multiport magnetic network energy routers(MNERs)are a key technology in the energy internet that can improve the consumption level of renewable energy,realize the integration of source-grid-load-storage,and ensure the stable operation of power systems.However,the power grid may break down,causing the grid currents to exceed the safe threshold and the DC bus voltages to fluctuate,thereby threatening the stability of the power system.A coordinated low-voltage ride-through(LVRT)control strategy for an MNER-based grid connection system is proposed.The proposed control strategy can provide significant LVRT capability for an MNER-based grid-connection system and maintain the DC bus voltage of each port at the rated value.A simulation is conducted using the PLECS platform,and the results validate the effectiveness of the proposed coordinated LVRT control strategy.展开更多
The virtual synchronous generator(VSG),utilized as a control strategy for grid-forming inverters,is an effective method of providing inertia and voltage support to the grid.However,the VSG exhibits limited capabilitie...The virtual synchronous generator(VSG),utilized as a control strategy for grid-forming inverters,is an effective method of providing inertia and voltage support to the grid.However,the VSG exhibits limited capabilities in low-voltage ride-through(LVRT)mode.Specifically,the slow response of the power loop poses challenges for VSG in grid voltage support and increases the risk of overcurrent,potentially violating present grid codes.This paper reveals the mechanism behind the delayed response speed of VSG control during the grid faults.On this basis,a compound compensation control strategy is proposed for improving the LVRT capability of the VSG,which incorporates adaptive frequency feedforward compensation(AFFC),direct power angle compensation(DPAC),internal potential compensation(IPC),and transient virtual impedance(TVI),effectively expediting the response speed and reducing transient current.Furthermore,the proposed control strategy ensures that the VSG operates smoothly back to its normal control state following the restoration from the grid faults.Subsequently,a large-signal model is developed to facilitate parameter design and stability analysis,which incorporates grid codes and TVI.Finally,the small-signal stability analysis and simulation and experimental results prove the correctness of the theoretical analysis and the effectiveness of the proposed control strategy.展开更多
Energy storage systems support electrical grid stability by enabling strategies to tackle issues,such as power fluctuations,low inertia,and insufficient damping.The present study proposes a battery energy storage syst...Energy storage systems support electrical grid stability by enabling strategies to tackle issues,such as power fluctuations,low inertia,and insufficient damping.The present study proposes a battery energy storage system based on a modular multilevel converter with multiplexed submodule arms(M-MMC-BESS)to reduce the number of switching devices while embedding DC short-circuit fault ride-through capability.Compared to the conventional two-stage half-bridge topology,the M-MMC-BESS retains the same number of switching devices but allows uninterrupted operation under DC short-circuit faults.In addition,compared to the two-stage full-bridge topology,the proposed topology reduces the number of switching devices by one-third.The control of the M-MMC-BESS is thoroughly investigated under both normal and DC short-circuit operating conditions.Simulation and experimental results are used to demonstrate the effectiveness of the proposed system and control approach.展开更多
为解决基于模块化多电平换流器的柔性直流输电系统(modular multilevel converter based high voltage direct current,MMC-HVDC)在陆上交流电网故障时出现的盈余功率问题,首先计算验证了能量预警值的合理性,并设计了自适应动作能量值,...为解决基于模块化多电平换流器的柔性直流输电系统(modular multilevel converter based high voltage direct current,MMC-HVDC)在陆上交流电网故障时出现的盈余功率问题,首先计算验证了能量预警值的合理性,并设计了自适应动作能量值,解决距离和控制转换时延造成子模块过电压的问题;然后分析网侧变流器(grid-side converter,GSC)在低压穿越期间的动态输出特性,提出了基于直流电压变化率反馈的海上换流站精准降压控制用以进行风机减载;最终通过整定协同控制的逻辑与控制参数,提出了一种基于风机精准减载与子模块电容能量协同控制的低电压故障穿越策略,解决故障期间系统能量裕度利用率低与耗能装置投资大的问题。在MATLAB/Simulink中搭建系统仿真模型验证方法有效性,并与现有方法比较。仿真结果表明,所提方法可显著减少甚至避免耗能装置的投入,且具有自适应性,可在不同故障工况下尽可能利用MMC-HVDC系统的能量裕度,尤其在故障程度较轻的工况下,能在故障消除时保留部分能量裕度,有效应对电压二次跌落,提高系统低压穿越能力。展开更多
A wind-turbine power system is often challenged by voltage instability,reactive power imbalance,and limited fault ride-through capability under grid disturbances.Doubly Fed Induction Generator based wind farms,owing t...A wind-turbine power system is often challenged by voltage instability,reactive power imbalance,and limited fault ride-through capability under grid disturbances.Doubly Fed Induction Generator based wind farms,owing to their partial coupling with the grid,are particularly vulnerable to voltage dips and excessive reactive power absorption during fault events.This study proposes an adaptive control strategy based on Model Reference Adaptive Control integrated with stator flux-oriented vector control to regulate active and reactive power of a DFIG-based wind farm connected to a standard IEEE 9-bus power system under fault conditions.The proposed control scheme is developed and validated using detailed MATLAB/Simulink modeling under normal operation,symmetrical three-phase fault conditions,and post-fault recovery scenarios.A three-phase-to-ground fault is applied at the wind farm interconnection bus for a duration of 150 ms to evaluate transient performance.Simulation results demonstrate that the adaptive controller ensures fast power tracking,effective reactive power support,and enhanced voltage recovery compared to a conventional proportional–integral controller.Quantitatively,the proposed method improves voltage recovery time by approximately 45%,reduces active power overshoot by 38%,and lowers total harmonic distortion by 52% following fault clearance.Furthermore,the adaptive controller maintains stable operation under variations in wind speed and machine parameters without requiring retuning,highlighting its robustness against system uncertainties.The results confirm that the proposed control strategy significantly enhances fault ride-through capability,power quality,and dynamic stability of grid-interfaced wind farms.These findings demonstrate the practical applicability of adaptive control techniques for improving the reliability and resilience of modern power systems with high wind energy penetration.展开更多
文摘Grid-Forming(GFM)converters are prone to fault-induced overcurrent and power angle instability during grid fault-induced voltage sags.To address this,this paper develops a multi-loop coordinated fault ridethrough(FRT)control strategy based on a power outer loop and voltage-current inner loops,aiming to enhance the stability and current-limiting capability of GFM converters during grid fault conditions.During voltage sags,the GFM converter’s voltage source behavior is maintained by dynamically adjusting the reactive power reference to provide voltage support,thereby effectively suppressing the steady-state component of the fault current.To address the active power imbalance induced by voltage sags,a dynamic active power reference correction method based on apparent power is designed to mitigate power angle oscillations and limit transient current.Moreover,an adaptive virtual impedance loop is implemented to enhance dynamic transient current-limiting performance during the fault initiation phase.This approach improves the responsiveness of the inner loop and ensures safe system operation under various fault severities.Under asymmetric fault conditions,a negative-sequence reactive current compensation strategy is incorporated to further suppress negative-sequence voltage and improve voltage symmetry.The proposed control scheme enables coordinated operation of multiple control objectives,including voltage support,current suppression,and power angle stability,across different fault scenarios.Finally,MATLAB/Simulink simulation results validate the effectiveness of the proposed strategy,showcasing its superior performance in current limiting and power angle stability,thereby significantly enhancing the system’s fault ride-through capability.
文摘With continuously increasing of photovoltaic (PV) plant’s penetration, it has become a critical issue to improve the fault ride-through capability of PV plant. This paper refers to the German grid code, and the PV system is controlled to keep grid connected, as well as inject reactive current to grid when fault occurs. The mathematical model of PV system is established and the fault characteristic is studied with respect to the control strategy. By analyzing the effect of reactive power supplied by the PV system to the point of common coupling (PCC) voltage, this paper proposes an adaptive voltage support control strategy to enhance the fault ride-through capability of PV system. The control strategy fully utilizes the PV system’s capability of voltage support and takes the safety of equipment into account as well. At last, the proposed control strategy is verified by simulation.
文摘In order to ensure power system stability, modern wind turbines are required to be able to endure deep voltage dips. The specifications that determine the voltage dip versus time are called fault r/de-through （FRT） requirements. The purpose of this paper is not only to examine the FRT behavior of a full-power converter wind turbine but also to combine the power system viewpoint to the studies. It is not enough for the turbine to be FRT capable; the loss of mains （LOM） protection of the turbine must also be set to allow the FRT. Enabling FRT, however, means that the LOM protection settings must be loosen, which may sometimes pose a safety hazard. This article introduces unique real-time simulation environment and proposes an FRT method for a wind turbine that also takes the operation of LOM protection relay into account. Simulations are carried out using the simulation environment and results show that wind turbine is able to ride-through a symmetrical power system fault.
文摘The installation of wind energy has increased rapidly around the world. The grid codes about the wind energy require wind turbine (WT) has the ability of fault (or low voltage) ride-through (FRT). To study the FRT operation of the wind farms, three methods were discussed. First, the rotor short current of doubly-fed induction generator (DFIG) was limited by introducing a rotor side protection circuit. Second, the voltage of DC bus was limited by a DC energy absorb circuit. Third, STATCOM was used to increase the low level voltages of the wind farm. Simulation under MATLAB was studied and the corresponding results were given and discussed. The methods proposed in this paper can limit the rotor short current and the DC voltage of the DFIG WT to some degree, but the voltage support to the power system during the fault largely depend on the installation place of STATCOM.
文摘Power electronic interface of dispersed generation plays a very important role in connecting a dispersed generation with utility grids. A power electronic interface not only adjusts the amount of active and reactive power injecting into a grid but also implements other importance duties as well. In this study, negative-sequence current injection has been fulfilled in three-phase power electronic interface for two important duties besides injecting reference power into utility grids. The first one is for islanding detection, and the other one is to enhance unbalance-fault ride-through capability of dispersed generation. This paper introduces a mechanism of negative-sequence injection based on controlling two separate coordinates of dq-control and explains the effect of negative-sequence injection in limiting the unbalanced currents generated from a dispersed generation. Using adaptive notch filter as a signal processing unit for the three-phase system, negative-sequence components are observed. The performance of entire control system is evaluated by time domain simulations, PSCAD/EMTDC （power systems computer aided design/electromagnetic transients including DC）.
文摘Modeling and validation of full power converter wind turbine models with field measurement data are rarely reported in papers. In this paper an aggregated generic dynamic model of the wind farm consisting of full power converter wind turbines is composed and the model validation based on actual field measurements is performed. The paper is based on the measurements obtained from the real short circuit test applied to connection point of observed wind farm. The presented approach for validating the composed model and fault ride-through （FRT） capability for the whole wind park is unique in overall practice and its significance and importance is described and analyzed.
基金funded by the Science and Technology Projects of State Grid Zhejiang Electric Power Co.,Ltd.(5211DS24000G).
文摘With the rapid development of large-scale offshore wind farms,efficient and reliable power transmission systems are urgently needed.Hybrid high-voltage direct current(HVDC)configurations combining a diode rectifier unit(DRU)and a modular multilevel converter(MMC)have emerged as a promising solution,offering advantages in cost-effectiveness and control capability.However,the uncontrollable nature of the DRU poses significant challenges for systemstability under offshore AC fault conditions,particularly due to its inability to provide fault current or voltage support.This paper investigates the offshore AC fault characteristics and fault ride-through(FRT)strategy of a hybrid offshore wind power transmission system based on a diode rectifier unit DRU and MMC.First,the dynamic response of the hybrid system under offshore symmetrical three-phase faults is analyzed.It is demonstrated that due to the unidirectional conduction nature of the DRU,its AC current rapidly drops to zero during faults,and the fault current is solely contributed by the wind turbine generators(WTGs)and wind farm MMC(WFMMC).Based on this analysis,a coordinated FRT strategy is proposed,which combines a segmented current limiting control for the wind-turbine(WT)grid-side converters(GSCs)and a constant AC current control for the WFMMC.The strategy ensures effective voltage support during the fault and prevents MMC current saturation during fault recovery,enabling fast and stable system restoration.Electromagnetic transient simulations in PSCAD/EMTDC verify the feasibility of the proposed fault ride-through strategy.
基金Supported by the National Key Research and Development Program of China(2022YFE0196300)Science,Technology&Innovation Funding Authority(STDF)(46505).
文摘Multiport magnetic network energy routers(MNERs)are a key technology in the energy internet that can improve the consumption level of renewable energy,realize the integration of source-grid-load-storage,and ensure the stable operation of power systems.However,the power grid may break down,causing the grid currents to exceed the safe threshold and the DC bus voltages to fluctuate,thereby threatening the stability of the power system.A coordinated low-voltage ride-through(LVRT)control strategy for an MNER-based grid connection system is proposed.The proposed control strategy can provide significant LVRT capability for an MNER-based grid-connection system and maintain the DC bus voltage of each port at the rated value.A simulation is conducted using the PLECS platform,and the results validate the effectiveness of the proposed coordinated LVRT control strategy.
基金supported by the National Natural Science Foundation of China(No.62222309)the Natural Science Foundation of Shandong Province(No.ZR2022JQ29).
文摘The virtual synchronous generator(VSG),utilized as a control strategy for grid-forming inverters,is an effective method of providing inertia and voltage support to the grid.However,the VSG exhibits limited capabilities in low-voltage ride-through(LVRT)mode.Specifically,the slow response of the power loop poses challenges for VSG in grid voltage support and increases the risk of overcurrent,potentially violating present grid codes.This paper reveals the mechanism behind the delayed response speed of VSG control during the grid faults.On this basis,a compound compensation control strategy is proposed for improving the LVRT capability of the VSG,which incorporates adaptive frequency feedforward compensation(AFFC),direct power angle compensation(DPAC),internal potential compensation(IPC),and transient virtual impedance(TVI),effectively expediting the response speed and reducing transient current.Furthermore,the proposed control strategy ensures that the VSG operates smoothly back to its normal control state following the restoration from the grid faults.Subsequently,a large-signal model is developed to facilitate parameter design and stability analysis,which incorporates grid codes and TVI.Finally,the small-signal stability analysis and simulation and experimental results prove the correctness of the theoretical analysis and the effectiveness of the proposed control strategy.
基金supported by the National Natural Science Foundation of China(No.52277188)the Natural Science Foundation of the Higher Education Institutions of Jiangsu Province(No.22KJB470005).
文摘Energy storage systems support electrical grid stability by enabling strategies to tackle issues,such as power fluctuations,low inertia,and insufficient damping.The present study proposes a battery energy storage system based on a modular multilevel converter with multiplexed submodule arms(M-MMC-BESS)to reduce the number of switching devices while embedding DC short-circuit fault ride-through capability.Compared to the conventional two-stage half-bridge topology,the M-MMC-BESS retains the same number of switching devices but allows uninterrupted operation under DC short-circuit faults.In addition,compared to the two-stage full-bridge topology,the proposed topology reduces the number of switching devices by one-third.The control of the M-MMC-BESS is thoroughly investigated under both normal and DC short-circuit operating conditions.Simulation and experimental results are used to demonstrate the effectiveness of the proposed system and control approach.
文摘为解决基于模块化多电平换流器的柔性直流输电系统(modular multilevel converter based high voltage direct current,MMC-HVDC)在陆上交流电网故障时出现的盈余功率问题,首先计算验证了能量预警值的合理性,并设计了自适应动作能量值,解决距离和控制转换时延造成子模块过电压的问题;然后分析网侧变流器(grid-side converter,GSC)在低压穿越期间的动态输出特性,提出了基于直流电压变化率反馈的海上换流站精准降压控制用以进行风机减载;最终通过整定协同控制的逻辑与控制参数,提出了一种基于风机精准减载与子模块电容能量协同控制的低电压故障穿越策略,解决故障期间系统能量裕度利用率低与耗能装置投资大的问题。在MATLAB/Simulink中搭建系统仿真模型验证方法有效性,并与现有方法比较。仿真结果表明,所提方法可显著减少甚至避免耗能装置的投入,且具有自适应性,可在不同故障工况下尽可能利用MMC-HVDC系统的能量裕度,尤其在故障程度较轻的工况下,能在故障消除时保留部分能量裕度,有效应对电压二次跌落,提高系统低压穿越能力。
文摘A wind-turbine power system is often challenged by voltage instability,reactive power imbalance,and limited fault ride-through capability under grid disturbances.Doubly Fed Induction Generator based wind farms,owing to their partial coupling with the grid,are particularly vulnerable to voltage dips and excessive reactive power absorption during fault events.This study proposes an adaptive control strategy based on Model Reference Adaptive Control integrated with stator flux-oriented vector control to regulate active and reactive power of a DFIG-based wind farm connected to a standard IEEE 9-bus power system under fault conditions.The proposed control scheme is developed and validated using detailed MATLAB/Simulink modeling under normal operation,symmetrical three-phase fault conditions,and post-fault recovery scenarios.A three-phase-to-ground fault is applied at the wind farm interconnection bus for a duration of 150 ms to evaluate transient performance.Simulation results demonstrate that the adaptive controller ensures fast power tracking,effective reactive power support,and enhanced voltage recovery compared to a conventional proportional–integral controller.Quantitatively,the proposed method improves voltage recovery time by approximately 45%,reduces active power overshoot by 38%,and lowers total harmonic distortion by 52% following fault clearance.Furthermore,the adaptive controller maintains stable operation under variations in wind speed and machine parameters without requiring retuning,highlighting its robustness against system uncertainties.The results confirm that the proposed control strategy significantly enhances fault ride-through capability,power quality,and dynamic stability of grid-interfaced wind farms.These findings demonstrate the practical applicability of adaptive control techniques for improving the reliability and resilience of modern power systems with high wind energy penetration.
