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Printed Carbon Black Thermocouple as an In Situ Thermal Sensor for Lithium-Ion Cell 印刷碳黑热电偶作为锂离子电池的现场热传感器
IF 4 4区 化学 Q2 Engineering Pub Date : 2024-02-27 DOI: 10.3390/batteries10030078
Nikko Cano Talplacido, Denis Cumming
Thermal monitoring of lithium-ion batteries ensures their safe and optimal operation. To collect the most accurate temperature data of LIBs, previous studies used thermocouples in the cell and proved them to be technically viable. However, the cost and scale-up limitations of this method restricted its use in many applications, hindering its mass adoption. This work developed a low-cost and scalable screen-printed carbon black thermocouple to study its applicability for the thermal monitoring of LIB. Given the appropriate manufacturing parameters, it was found that thermal sensors may be printed on the electrodes, installed on a pouch cell, and once calibrated, operate with excellent sensitivity. However, to reliably use a printed carbon black thermocouple in operando of a pouch cell, its chemical resistance against electrolytes was found to require further development.
对锂离子电池进行热监测可确保其安全和最佳运行。为了收集最准确的锂离子电池温度数据,以前的研究在电池中使用了热电偶,并证明其在技术上是可行的。然而,这种方法的成本和规模限制了它在许多应用中的使用,阻碍了它的大规模应用。本研究开发了一种低成本、可扩展的丝网印刷碳黑热电偶,以研究其在 LIB 热监测中的适用性。研究发现,在适当的制造参数下,热传感器可以印刷在电极上,安装在袋式电池上,一旦校准,就能以出色的灵敏度运行。不过,要在袋式电池的操作过程中可靠地使用印刷碳黑热电偶,还需要进一步开发其对电解质的耐化学性。
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引用次数: 0
Film Thickness Effect in Restructuring NiO into LiNiO2 Anode for Highly Stable Lithium-Ion Batteries 将氧化镍重组为用于高稳定性锂离子电池的 LiNiO2 负极时的膜厚效应
IF 4 4区 化学 Q2 Engineering Pub Date : 2024-02-27 DOI: 10.3390/batteries10030080
Thang Phan Nguyen, I. Kim
The long-term stability of energy-storage devices for green energy has received significant attention. Lithium-ion batteries (LIBs) based on materials such as metal oxides, Si, Sb, and Sn have shown superior energy density and stability owing to their intrinsic properties and the support of conductive carbon, graphene, or graphene oxides. Abnormal capacities have been recorded for some transition metal oxides, such as NiO, Fe2O3, and MnO/Mn3O4. Recently, the restructuring of NiO into LiNiO2 anode materials has yielded an ultrastable anode for LIBs. Herein, the effect of the thin film thickness on the restructuring of the NiO anode was investigated. Different electrode thicknesses required different numbers of cycles for restructuring, resulting in significant changes in the reconstituted cells. NiO thicknesses greater than 39 μm reduced the capacity to 570 mAh g−1. The results revealed the limitation of the layered thickness owing to the low diffusion efficiency of Li ions in the thick layers, resulting in non-uniformity of the restructured LiNiO2. The NiO anode with a thickness of approximately 20 μm required only 220 cycles to be restructured at 0.5 A g−1, while maintaining a high-rate performance for over 500 cycles at 1.0 A g−1, and a high capacity of 1000 mAh g−1.
绿色能源储能设备的长期稳定性受到了极大关注。基于金属氧化物、硅、锑和锡等材料的锂离子电池(LIBs)因其内在特性以及导电碳、石墨烯或石墨烯氧化物的支持而显示出卓越的能量密度和稳定性。一些过渡金属氧化物,如氧化镍、氧化铁和氧化锰/氧化锰 4,也出现了异常容量。最近,将 NiO 重组为 LiNiO2 阳极材料的方法为 LIB 提供了一种超稳定的阳极。本文研究了薄膜厚度对氧化镍阳极重组的影响。不同的电极厚度需要不同次数的重组循环,从而导致重组电池发生显著变化。氧化镍厚度大于 39 μm 时,电池容量降至 570 mAh g-1。结果表明,分层厚度的限制是由于锂离子在厚层中的扩散效率较低,导致重组后的 LiNiO2 不均匀。厚度约为 20 μm 的氧化镍阳极在 0.5 A g-1 的条件下只需进行 220 个周期的重组,而在 1.0 A g-1 的条件下则可保持 500 个周期以上的高速率性能,并具有 1000 mAh g-1 的高容量。
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引用次数: 0
A Novel Long Short-Term Memory Approach for Online State-of-Health Identification in Lithium-Ion Battery Cells 在线识别锂离子电池单元健康状况的新型长短期记忆方法
IF 4 4区 化学 Q2 Engineering Pub Date : 2024-02-26 DOI: 10.3390/batteries10030077
Mike Kopp, A. Fill, Marco Ströbel, K. Birke
Revolutionary and cost-effective state estimation techniques are crucial for advancing lithium-ion battery technology, especially in mobile applications. Accurate prediction of battery state-of-health (SoH) enhances state-of-charge estimation while providing valuable insights into performance, second-life utility, and safety. While recent machine learning developments show promise in SoH estimation, this paper addresses two challenges. First, many existing approaches depend on predefined charge/discharge cycles with constant current/constant voltage profiles, which limits their suitability for real-world scenarios. Second, pure time series forecasting methods require prior knowledge of the battery’s lifespan in order to formulate predictions within the time series. Our novel hybrid approach overcomes these limitations by classifying the current aging state of the cell rather than tracking the SoH. This is accomplished by analyzing current pulses filtered from authentic drive cycles. Our innovative solution employs a Long Short-Term Memory-based neural network for SoH prediction based on residual capacity, making it well suited for online electric vehicle applications. By overcoming these challenges, our hybrid approach emerges as a reliable alternative for precise SoH estimation in electric vehicle batteries, marking a significant advancement in machine learning-based SoH estimation.
革命性的、具有成本效益的状态估计技术对于锂离子电池技术的发展至关重要,尤其是在移动应用领域。对电池健康状态(SoH)的准确预测可增强充电状态估计,同时为电池性能、二次寿命效用和安全性提供有价值的见解。虽然最近的机器学习发展为 SoH 估算带来了希望,但本文仍要应对两个挑战。首先,许多现有方法依赖于预定义的充电/放电周期和恒定电流/恒定电压曲线,这限制了它们在现实世界场景中的适用性。其次,纯粹的时间序列预测方法需要事先了解电池的使用寿命,才能在时间序列中进行预测。我们的新型混合方法通过对电池当前的老化状态进行分类而不是跟踪 SoH 来克服这些限制。这是通过分析从真实驱动循环中过滤出的电流脉冲来实现的。我们的创新解决方案采用基于长短期记忆的神经网络,根据剩余容量进行 SoH 预测,因此非常适合在线电动汽车应用。通过克服这些挑战,我们的混合方法成为电动汽车电池精确 SoH 估算的可靠替代方案,标志着基于机器学习的 SoH 估算取得了重大进展。
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引用次数: 0
Stochastic Control of Battery Energy Storage System with Hybrid Dynamics 混合动力电池储能系统的随机控制
IF 4 4区 化学 Q2 Engineering Pub Date : 2024-02-23 DOI: 10.3390/batteries10030075
Richard Žilka, Ondrej Lipták, Martin Klaučo
This paper addresses the control of load demand and power in a battery energy storage system (BESS) with Boolean-type constraints. It employs model predictive control (MPC) tailored for such systems. However, conventional MPC encounters computational challenges in practical applications, including battery storage control, and requires dedicated, mostly licensed solvers. To mitigate this, a solver-free yet efficient, suboptimal method is proposed. This approach involves generating randomized control sequences and assessing their feasibility to ensure adherence to constraints. The sequence with the best performance index is then selected, prioritizing feasibility and safety over optimality. Although this chosen sequence may not match the exact MPC solution in terms of optimality, it guarantees safe operation. The optimal control problem for the BESS is outlined, encompassing constraints on the state of charge, power limits, and charge/discharge modes. Three distinct scenarios evaluate the proposed method. The first prioritizes minimizing computational time, yielding a feasible solution significantly faster than the optimal approach. The second scenario strikes a balance between computational efficiency and suboptimality. The third scenario aims to minimize suboptimality while accepting longer computation times. This method’s adaptability to the user’s requirements in various scenarios and solver-free evaluation underscores its potential advantages in environments marked by stringent computational demands, a characteristic often found in BESS control applications.
本文探讨了具有布尔型约束条件的电池储能系统(BESS)中的负载需求和功率控制问题。它采用了专为此类系统定制的模型预测控制(MPC)。然而,传统的 MPC 在实际应用中(包括电池储能控制)遇到了计算挑战,需要专门的、大多是授权的求解器。为了缓解这一问题,我们提出了一种无需求解器但高效的次优方法。这种方法包括生成随机控制序列并评估其可行性,以确保遵守约束条件。然后选择性能指标最佳的序列,优先考虑可行性和安全性,而不是最优性。虽然所选序列在最优性方面可能与精确的 MPC 解决方案不一致,但它能确保安全运行。概述了 BESS 的优化控制问题,包括充电状态、功率限制和充放电模式的约束条件。三个不同的方案对所提出的方法进行了评估。第一种方案优先考虑计算时间最小化,得出的可行解决方案比最优方法快得多。第二种方案在计算效率和次优化之间取得平衡。第三种方案旨在尽量减少次优性,同时接受更长的计算时间。这种方法在各种情况下都能适应用户的要求,而且无需求解器进行评估,这凸显了它在计算要求严格的环境中的潜在优势,而这正是 BESS 控制应用中经常出现的特点。
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引用次数: 0
Safety Analysis of Lithium-Ion Cylindrical Batteries Using Design and Process Failure Mode and Effect Analysis 利用设计和工艺失效模式及影响分析法对圆柱形锂离子电池进行安全分析
IF 4 4区 化学 Q2 Engineering Pub Date : 2024-02-23 DOI: 10.3390/batteries10030076
Sahithi Maddipatla, Lingxi Kong, M. Pecht
Cylindrical lithium-ion batteries are widely used in consumer electronics, electric vehicles, and energy storage applications. However, safety risks due to thermal runaway-induced fire and explosions have prompted the need for safety analysis methodologies. Though cylindrical batteries often incorporate safety devices, the safety of the battery also depends on its design and manufacturing processes. This study conducts a design and process failure mode and effect analysis (DFMEA and PFMEA) for the design and manufacturing of cylindrical lithium-ion batteries, with a focus on battery safety.
圆柱形锂离子电池广泛应用于消费类电子产品、电动汽车和储能领域。然而,热失控引发的火灾和爆炸所带来的安全风险促使人们需要安全分析方法。虽然圆柱形电池通常采用安全装置,但电池的安全性还取决于其设计和制造工艺。本研究针对圆柱形锂离子电池的设计和制造进行了设计和工艺失效模式及影响分析(DFMEA 和 PFMEA),重点关注电池的安全性。
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引用次数: 0
One-Time Prediction of Battery Capacity Fade Curve under Multiple Fast Charging Strategies 一次性预测多种快速充电策略下的电池容量衰减曲线
IF 4 4区 化学 Q2 Engineering Pub Date : 2024-02-22 DOI: 10.3390/batteries10030074
Xiaoming Han, Zhentao Dai, Mifeng Ren, Jing Cui, Yunfeng Shi
Using different fast charging strategies for lithium-ion batteries can affect the degradation rate of the batteries. In this case, predicting the capacity fade curve can facilitate the application of new batteries. Considering the impact of fast charging strategies on battery aging, a battery capacity degradation trajectory prediction method based on the TM-Seq2Seq (Trend Matching—Sequence-to-Sequence) model is proposed. This method uses data from the first 100 cycles to predict the future capacity fade curve and EOL (end of life) in one-time. First, features are extracted from the discharge voltage-capacity curve. Secondly, a sequence-to-sequence model based on CNN, SE-net, and GRU is designed. Finally, a trend matching loss function is designed based on the common characteristics of capacity fade curves to constrain the encoding features of the sequence-to-sequence model, facilitating the learning of the underlying relationship between inputs and outputs. TM-Seq2Seq model is verified on a public dataset with 132 battery cells and multiple fast charging strategies. The experimental results indicate that, compared to other popular models, the TM-Seq2Seq model has lower prediction errors.
对锂离子电池采用不同的快速充电策略会影响电池的衰减率。在这种情况下,预测容量衰减曲线可以促进新电池的应用。考虑到快速充电策略对电池老化的影响,本文提出了一种基于 TM-Seq2Seq(趋势匹配-序列到序列)模型的电池容量衰减轨迹预测方法。该方法利用前 100 个循环的数据,一次性预测未来的容量衰减曲线和 EOL(寿命终止)。首先,从放电电压-容量曲线中提取特征。其次,设计基于 CNN、SE-net 和 GRU 的序列到序列模型。最后,根据容量衰减曲线的共同特征,设计了趋势匹配损失函数,以约束序列到序列模型的编码特征,从而促进对输入和输出之间潜在关系的学习。TM-Seq2Seq 模型在一个包含 132 个电池单元和多种快速充电策略的公共数据集上进行了验证。实验结果表明,与其他流行模型相比,TM-Seq2Seq 模型的预测误差更小。
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引用次数: 0
Accurate Capacity Prediction and Evaluation with Advanced SSA-CNN-BiLSTM Framework for Lithium-Ion Batteries 利用先进的 SSA-CNN-BiLSTM 框架准确预测和评估锂离子电池的容量
IF 4 4区 化学 Q2 Engineering Pub Date : 2024-02-21 DOI: 10.3390/batteries10030071
Chunsong Lin, Xianguo Tuo, Longxing Wu, Guiyu Zhang, Xiangling Zeng
Lithium-ion batteries (LIBs) have been widely used for electric vehicles owing to their high energy density, light weight, and no memory effect. However, their health management problems remain unsolved in actual application. Therefore, this paper focuses on battery capacity as the key health indicator and proposes a data-driven method for capacity prediction. Specifically, this method mainly utilizes Convolutional Neural Network (CNN) for automatic feature extraction from raw data and combines it with the Bidirectional Long Short-Term Memory (BiLSTM) algorithm to realize the capacity prediction of LIBs. In addition, the sparrow search algorithm (SSA) is used to optimize the hyper-parameters of the neural network to further improve the prediction performance of original network structures. Ultimately, experiments with a public dataset of batteries are carried out to verify and evaluate the effectiveness of capacity prediction under two temperature conditions. The results show that the SSA-CNN-BiLSTM framework for capacity prediction of LIBs has higher accuracy compared with other original network structures during the multi-battery cycle experiments.
锂离子电池(LIB)具有能量密度高、重量轻、无记忆效应等优点,已被广泛应用于电动汽车。然而,在实际应用中,其健康管理问题仍未得到解决。因此,本文将电池容量作为关键的健康指标,并提出了一种数据驱动的容量预测方法。具体来说,该方法主要利用卷积神经网络(CNN)从原始数据中自动提取特征,并结合双向长短期记忆(BiLSTM)算法实现 LIB 的容量预测。此外,还采用了麻雀搜索算法(SSA)来优化神经网络的超参数,以进一步提高原始网络结构的预测性能。最后,利用公开的电池数据集进行了实验,以验证和评估两种温度条件下容量预测的有效性。结果表明,在多电池循环实验中,用于锂电池容量预测的 SSA-CNN-BiLSTM 框架与其他原始网络结构相比具有更高的准确性。
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引用次数: 0
Influence of Pressure, Temperature and Discharge Rate on the Electrical Performances of a Commercial Pouch Li-Ion Battery 压力、温度和放电速率对商用袋装锂离子电池电气性能的影响
IF 4 4区 化学 Q2 Engineering Pub Date : 2024-02-21 DOI: 10.3390/batteries10030072
Luigi Aiello, Peter Ruchti, Simon Vitzthum, Federico Coren
In this study, the performances of a pouch Li-ion battery (LIB) with respect to temperature, pressure and discharge-rate variation are measured. A sensitivity study has been conducted with three temperatures (5 °C, 25 °C, 45 °C), four pressures (0.2 MPa, 0.5 MPa, 0.8 MPa, 1.2 MPa) and three electrical discharge rates (0.5 C, 1.5 C, 3.0 C). Electrochemical processes and overall efficiency are significantly affected by temperature and pressure, influencing capacity and charge–discharge rates. In previous studies, temperature and pressure were not controlled simultaneously due to technological limitations. A novel test bench was developed to investigate these influences by controlling the surface temperature and mechanical pressure on a pouch LIB during electrical charging and discharging. This test rig permits an accurate assessment of mechanical, thermal and electrical parameters, while decoupling thermal and mechanical influences during electrical operation. The results of the study confirm what has been found in the literature: an increase in pressure leads to a decrease in performance, while an increase in temperature leads to an increase in performance. However, the extent to which the pressure impacts performance is determined by the temperature and the applied electrical discharge rate. At 5 °C and 0.5 C, an increase in pressure from 0.2 MPa to 1.2 MPa results in a 5.84% decrease in discharged capacity. At 45 °C the discharge capacity decreases by 2.17%. Regarding the impact of the temperature, at discharge rate of 0.5 C, with an applied pressure of 0.2 MPa, an increase in temperature from 25 °C to 45 °C results in an increase of 4.27% in discharged capacity. The impact on performance varies significantly at different C-rates. Under the same pressure (0.2 MPa) and temperature variation (from 25 °C to 45 °C), increasing the electrical discharge rate to 1.5 C results in a 43.04% increase in discharged capacity. The interplay between temperature, pressure and C-rate has a significant, non-linear impact on performance. This suggests that the characterisation of an LIB would require the active control of both temperature and pressure during electrical operation.
本研究测量了袋式锂离子电池(LIB)在温度、压力和放电率变化方面的性能。在三种温度(5 °C、25 °C、45 °C)、四种压力(0.2 兆帕、0.5 兆帕、0.8 兆帕、1.2 兆帕)和三种放电速率(0.5 摄氏度、1.5 摄氏度、3.0 摄氏度)下进行了敏感性研究。电化学过程和整体效率受到温度和压力的显著影响,并对容量和充放电速率产生影响。在以往的研究中,由于技术限制,温度和压力无法同时控制。为了研究这些影响因素,我们开发了一种新型试验台,在充放电过程中控制袋状 LIB 的表面温度和机械压力。该试验台允许对机械、热和电参数进行精确评估,同时将电操作过程中的热影响和机械影响分离开来。研究结果证实了文献中的结论:压力增加会导致性能下降,而温度升高会导致性能上升。不过,压力对性能的影响程度取决于温度和应用的放电速率。在 5 °C 和 0.5 C 条件下,压力从 0.2 MPa 增加到 1.2 MPa 会导致放电容量下降 5.84%。在 45 °C 时,放电容量减少 2.17%。关于温度的影响,在 0.5 C 的放电率和 0.2 MPa 的应用压力下,温度从 25 °C 升至 45 °C 会导致放电容量增加 4.27%。在不同的 C 速率下,对性能的影响也大不相同。在相同的压力(0.2 兆帕)和温度变化(从 25 °C 到 45 °C)条件下,将放电速率提高到 1.5 C 会使放电容量增加 43.04%。温度、压力和 C 率之间的相互作用对性能有显著的非线性影响。这表明,要确定 LIB 的特性,就必须在电气运行期间对温度和压力进行积极控制。
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引用次数: 0
Sodium Polymer Electrolytes: A Review 钠聚合物电解质:综述
IF 4 4区 化学 Q2 Engineering Pub Date : 2024-02-21 DOI: 10.3390/batteries10030073
Sumit Kumar, Rajesh Raghupathy, Michele Vittadello
Lithium-based electrolytes are, at least from a thermodynamic standpoint, the most suitable ion-transport materials for energy storage systems. However, lithium-based ionic conductors suffer from safety concerns, and the limited availability of lithium in the Earth’s crust is at the root of the need to consider alternative metal ions. Notably, sodium stands out as the sixth most-prevalent element; therefore, when considering mineral reserves, it as a very attractive candidate as an alternative to the status quo. Even if the specific energy and energy density of sodium are indeed inferior with respect to those of lithium, there is substantial economic appeal in promoting the use of the former metal in stationary energy storage applications. For these reasons, the promise of sodium is likely to extend to other commercial applications, including portable electronics, as well as hybrid and electric vehicles. Widely used organic liquid electrolytes, regardless of their chosen metal cation, are disadvantageous due to leakage, evaporation, and high flammability. Polymer electrolytes are acknowledged as the most effective candidates to overcome these obstacles and facilitate the advancement of next-generation energy storage applications. In this contribution, an in-depth and comprehensive review of sodium polymer electrolytes for primary and secondary batteries is proposed. The overarching goal was to gain insight into successful synthetic strategies and their implications for conduction parameters and conductivity mechanisms. The focus lies on solid, gel, and composite polymer electrolytes. Our hope is that the proposed discussion will be helpful to all operators in the field, whether in tackling fundamental research problems or resolving issues of practical significance.
至少从热力学角度来看,锂基电解质是最适合用于能量储存系统的离子传输材料。然而,锂基离子导体存在安全隐患,而且地壳中锂的供应有限,这也是需要考虑替代金属离子的根本原因。值得注意的是,钠是第六大最普遍的元素;因此,在考虑矿物储量时,钠是一个非常有吸引力的候选替代品。即使钠的比能量和能量密度确实不如锂,但在固定储能应用中推广使用前一种金属仍具有巨大的经济吸引力。基于这些原因,钠的前景可能会扩展到其他商业应用,包括便携式电子产品以及混合动力和电动汽车。广泛使用的有机液态电解质,无论选择的是哪种金属阳离子,都存在泄漏、蒸发和易燃等缺点。聚合物电解质被认为是克服这些障碍、促进下一代储能应用发展的最有效候选材料。本论文将对钠聚合物电解质在一次电池和二次电池中的应用进行深入全面的评述。首要目标是深入了解成功的合成策略及其对传导参数和传导机制的影响。重点在于固体、凝胶和复合聚合物电解质。我们希望所提议的讨论将对该领域的所有操作人员有所帮助,无论是解决基础研究问题还是解决具有实际意义的问题。
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引用次数: 0
Bimetal-Initiated Concerted Zn Regulation Enabling Highly Stable Aqueous Zn-Ion Batteries 双金属引发的锌协同调控实现高稳定性水性锌离子电池
IF 4 4区 化学 Q2 Engineering Pub Date : 2024-02-20 DOI: 10.3390/batteries10030070
Hong Yin, Yuliang Liu, Yifeng Zhu, Fengxiang Ye, Guangliang Xu, Mengfang Lin, Wenbin Kang
Aqueous zinc ion batteries are highly sought after for the next generation of sustainable energy storage systems. However, their development is significantly impeded by the presence of undesired zinc dendrites, which greatly reduce their cycle life. It is well-received that surface passivation by introducing foreign metals represents a compelling measure to enhance the stability of Zn anodes. Nevertheless, the vast potential of effecting concerted interplay between multiple metal elements for enhanced overall performance in Zn ion batteries remains elusive, due to the overwhelming challenge in creating uniform textures from hetero-units and understanding the mechanism underlying the synergistic performance gain. In this work, an innovative bimetallic overlaying strategy is proposed that renders possible the synergy between AgZn3 and CuZn5 in effecting uniform Zn deposition in a laterally confined and compact manner. The seeded growth of Zn on the bimetal-modulated interface effectively reduces the nucleation potential barrier, yielding a low nucleation overpotential (25 mV). In full cell testing with a commercial MnO2 applied as the cathode, superb cycling stability, surpassing the results reported in previous works, is achieved. The cell delivers an outstanding remaining capacity of 215 mA h g−1 after 300 cycles with almost no capacity degradation observed. The simple and highly efficient bimetal design, which synergizes the strengths of distinct metals, has the potential to drive innovations in the development of multicomponent aqueous Zn batteries with exceptional performance.
锌离子水电池是下一代可持续储能系统的首选。然而,它们的发展却因不受欢迎的锌枝晶的存在而严重受阻,这大大降低了它们的循环寿命。人们普遍认为,通过引入外来金属进行表面钝化是提高锌阳极稳定性的有效措施。然而,由于从异种单元中产生均匀的质地以及了解协同增效的内在机制是一项巨大的挑战,因此在锌离子电池中实现多种金属元素之间的协同作用以提高整体性能的巨大潜力仍然难以实现。在这项工作中,提出了一种创新的双金属叠层策略,使 AgZn3 和 CuZn5 能够协同作用,以横向限制和紧凑的方式实现均匀的锌沉积。锌在双金属调制界面上的种子生长有效降低了成核电位障碍,从而产生了较低的成核过电位(25 mV)。在使用商用二氧化锰作为阴极的完整电池测试中,电池实现了极佳的循环稳定性,超过了以前工作中报告的结果。经过 300 次循环后,电池的剩余容量高达 215 mA h g-1,几乎没有观察到容量衰减。这种简单而高效的双金属设计能协同不同金属的优势,有望推动具有卓越性能的多组分锌水电池的创新发展。
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引用次数: 0
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