News Center

A review of the development of flow battery systems based on polysulfides

Classification:Industrial News

 - Author:ZH Energy

 - Release time:Oct-10-2024

【 Summary 】



Article Summary
As an emerging direction in the redox flow battery family, polysulfide flow batteries have the characteristics of relatively high energy density and extremely low chemical cost of redox active materials, which have great potential applications in low-cost, high-efficiency, and high-density energy storage. However, the unique chemical properties of the solution and the complex transformation between sulfur and long-chain and short chain polysulfides have led to various system design schemes and complex reaction mechanisms. The author outlines the impact of solution chemistry of polysulfides on the energy density of PSRFB, and the corresponding solution chemistry is governed by their inherent properties and interactions with solvent molecules, which can greatly affect system design and battery structure.

primary coverage
The working principle in PSRFB is as follows:


There are two main types of PSRFB systems: all liquid systems and mixed systems. For a fully liquid system, the electroactive substance is dissolved in a solvent to produce an anode electrolyte and a cathode electrolyte, as shown in Figure 1a. Many organic solvents have been proven to have good solubility for polysulfides, such as DOL/DME, DMSO, and THF, which can be used as solvents for polysulfide reactions. The solution chemistry and potential window highly depend on the inherent properties of polysulfides and their interactions with solvent molecules.


Mixed PSRFB can have three subcategories: solid/liquid (Figure 1b), semi-solid (Figure 1c), and liquid/gas (Figure 1d) forms. In solid/liquid systems, lithium or sodium pure metal electrodes are commonly used as solid electrodes, which face the problem of dendrite formation. The characteristic of liquid electrodes is that polysulfides dissolve in liquid solvents. Although the energy density increases with the concentration of polysulfides in the solvent, the high viscosity of the solution leads to greater flow resistance, resulting in a decrease in energy efficiency. Additionally, due to slow diffusion of the bulk or slow interfacial reaction rate, the reaction rate will also decrease. Therefore, some researchers have turned to semi-solid systems to achieve highly distributed electrochemical reactivity throughout the electroactive region of flow batteries by using conductive materials in polysulfide solutions.

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">

The capacity and theoretical energy density are determined by the reactions between S2-n species. Taking lithium polysulfide flow batteries as an example (Table 4), the actual energy density depends on the polysulfide conversion reaction used and the concentration of soluble polysulfides in the system. The concentration of polysulfides in the solution also affects the conversion reaction and the solubility of different polysulfides.

The author then provided a detailed overview of aqueous polysulfide flow batteries. Bromine polysulfide flow batteries were first reported by Remick et al. in 1983. During the discharge process, short chain polysulfides and sulfide solutions are pumped into the anode half cell and oxidized to high chain polysulfides. For cathodic reactions, bromine is reduced to bromide, and Na+ions perform charge compensation.


In order to alleviate the slow reaction kinetics of polysulfides/sulfides, nickel or cobalt is coated on the carbon electrode, as the metal coated carbon felt electrode exhibits better performance than the uncoated electrode. However, the metal coated carbon electrode only showed improved electrochemical performance in the initial short-term cycle, with an energy efficiency of over 80% at 40 mA/cm2. After about 50 cycles, significant capacity degradation was observed, and the main reason for the performance decline was the excessive accumulation of sulfur in the metal coated carbon felt electrode. In many systems (such as Li-S batteries), the conversion reaction between polysulfides, sulfides, and sulfur is difficult to control, and the irreversible conversion reaction of elemental sulfur can lead to capacity loss and increased mass transport resistance. Recently, multiple research groups have reported on polysulfide/iodide flow batteries. In Figure 2, KI and K2S2 with high solubility are used as redox active substances in the cathode electrolyte and anode electrolyte, respectively, with an estimated theoretical energy density of up to 85.4Wh/L. In the laboratory prototype, the energy density of the all liquid PSRFB is approximately 43.1 Wh/L, with a chemical cost as low as $85.4 kW/h. By using 4 M KI-3M K2S2, the battery can maintain stable performance at a current density of 15mA/cm2 in the first 50 cycles, with a Coulombic efficiency of up to 97%. However, the aqueous system of PSRFB still faces issues with stable cycling and control of polysulfide reactions.

The author provides an in-depth overview of solid-liquid mixed PSRFB. Lithium polysulfide redox flow batteries utilize the high energy density of lithium metal anodes and the scalable structure of flow batteries, with the characteristics of low chemical cost and high solubility of polysulfides. Long chain polysulfides are typically dissolved in organic solvents such as DOL/DME, THF, and DMSO to form catholytes, while the precipitation of short chain lithium sulfide often leads to loss of active materials and capacity degradation during long-term cycling. The Cui research team reported a membrane free hybrid PSRFB, in which long-chain polysulfides in non-aqueous solvents are used as the cathode electrolyte and lithium metal is used as the negative electrode, as shown in Figure 3. By controlling the cyclic reaction between Li2S8 and Li2S4, the two electron reaction avoids the precipitation problem associated with Li2S2/Li2S short chain polysulfides by using a narrow voltage window, exhibiting high energy densities of 97 Wh/kg and 108 Wh/L. Due to the good passivation of lithium anode by LiNO3 additive in the electrolyte, the shuttle effect related to polysulfides is alleviated. Batteries with low polysulfide concentration exhibit stable cycling of over 200 cycles, while batteries with high polysulfide concentration show significant capacity degradation.

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" style="max-width: 100%;">

Researchers have also developed an aqueous system using short chain lithium polysulfides as redox active substances. In order to protect the lithium metal anode from contact with the aqueous catholyte, LISICON ceramic film (LATP) was used, utilizing the high solubility of short chain lithium sulfides in aqueous solution (>5 M), resulting in a battery with a high energy density of 387 Wh/L. The application of LATP solid electrolyte suppresses the shuttle effect of polysulfides, but LATP is unstable when in direct contact with lithium metal anode, so multiple layers of solid electrolyte or liquid electrolyte are usually required to stabilize the interface.

The author also introduced the semi-solid mixed PSRFB. Chiang et al. first proposed the concept of semi-solid flow batteries and used a flowable suspension of redox active materials as the electrode for flow batteries (Figure 4). They found that it could significantly improve the energy density of flow batteries and fully utilize the solubility limit of redox active materials in solution. Chiang et al. reported a semi-solid electrode composed of solid active lithium-ion materials (such as LiFePO4, LiNi0.5Mn1.5O4, or LiCoO2) suspended in an electrolyte solution, which can improve the reaction rate of polysulfide redox substances by introducing conductive nanomaterials into polysulfide solutions. In addition, Chiang's research team reported a non-aqueous PSRFB, in which nanoscale conductive particles are mixed with a polysulfide solution to form a flowable electrode with an embedded current collector network. The polysulfide positive electrode electrolyte exhibits higher electrochemical activity, achieving a high reversible capacity of 600 mAh/g at an average voltage of 1.9 V. However, in lithium/polysulfide suspension batteries, the capacity retention rate after 100 cycles of cycling polysulfide suspension between 2.55-2.00 V is only 56%. When cycled between 1.90-2.50 V, including the Li2S precipitation region, a high initial specific capacity of 1200 mAh/g was achieved, but faster capacity decay was observed, with only 610 mAh/g after 100 cycles.

Recently, Li's research group reported a semi-solid mixed Na-S flow battery that utilizes molten sodium metal as the anode, β '' - Al2O3 as the membrane, and a flowable sulfur based suspension as the cathode liquid (Figure 5). Unlike existing high-temperature Na-S batteries, this flow battery decouples the thermal management system by controlling the different operating temperatures of the power stack and storage tank. In order to improve the conductivity of the catholyte and promote redox reactions, 2 vol% Ketjen and 1 M NaI were added to the TEGDME solution. At low discharge current density, a high storage capacity of approximately 864 mA h/g was obtained, which is much higher than traditional high-temperature Na-S batteries. When the Na-S flow battery is cycled at a current density of 0.5 mA between 1 and 2.5 V at 150 ° C, the reversible capacity reaches 705 mA h/g in the first cycle, but rapidly decays to approximately 484 mA h/g after 55 cycles. The estimated cost of the system is between $50-100 per kilowatt hour, which is highly likely to achieve the cost target set by DOE.


Finally, the author introduced the liquid gas mixture PSRFB. Inspired by fuel cells, vanadium air RFB was proposed in 1994 to further reduce the weight and size of flow batteries. It utilized 1.2 MV2 (SO4) 3 in 2 MH2SO4 as the anode electrolyte and a dual function cathode based on IrO2 catalyst. However, the energy efficiency of this battery was only 41.6%, with a short cycle life. Its low efficiency and rapid capacity degradation were mainly due to the loss of active materials, corrosion of the current collector, and cross effects. Recently, oxygen reduction reaction (ORR) and oxygen evolution reaction (OER) have also been introduced into aqueous sulfur systems, with polysulfides and oxygen-containing/gas filled salt solutions used as anode electrolytes and cathode electrolytes, respectively (Figure 6).

Conclusion and Prospect

The redox flow battery based on polysulfides has shown great potential in large-scale energy storage applications in the power grid. Compared with traditional all liquid flow battery systems, hybrid systems including solid-liquid, semi-solid, and liquid gas systems can potentially increase system energy density and reduce costs by using suspensions or metal electrodes. Meanwhile, due to the introduction of new forms of reactants, mixed flow battery systems are also facing new design challenges. For electrochemical performance, the reversibility, long-term stability, and integration of inexpensive components (including redox pairs, ion selective membranes, and solvents) in PSRFB systems still require basic understanding and further development.


更多内容:

超低成本的长时储能硫-空气电池技术

高能量、低成本的多硫化物/碘化物液流电池

中性多硫化物/铁氰化物氧化还原液流电池

通过普鲁士蓝固体提升能量密度的硫铁液流电池

用于硫铁电池的连续离子层吸附和反应沉积的硫化铜电催化剂