An Overview on Electric-Stress Degradation Empirical Models for Electrochemical Devices in Smart Grids
Abstract
:1. Introduction
- Empirical and semi-empirical models should be extended to consider stressors of electrical nature and include non-electrochemical devices.
- Studies about the electrical-nature stressors on batteries, photovoltaic module/panels (PVMs), fuel cells, super/ultra-capacitors (SCs), and interconnected devices are needed. Indeed, many of the empirical models need validation experiments and in-depth analysis.
- Combined degradation models can generate generalized smart grid models, but studies for determining major stressors are needed. This can help perform in-depth analyses on smart grid resilience and reliability, increasing confidence in this technology.
2. Photovoltaic Panel Degradation
2.1. Potential Induced Degradation
2.2. Reverse Current Degradation
2.3. Summary
3. Battery Degradation
3.1. Capacity-Fade-Type Degradation
3.2. Power-Fade-Type Degradation
3.3. State of Health
3.4. Summary
4. Fuel Cell Degradation
4.1. Catalyst Surface Degradation
4.2. Degradation by Voltage Oscillations
4.3. Ohmic Overvoltage Degradation
4.4. Activation Overvoltage Degradation
4.5. Degradation Rate
4.6. Summary
5. Supercapacitor/Ultracapacitor Degradation
5.1. Overvoltage Degradation
5.2. Summary
6. Degradation in Eolic, Tidal, and Other Generators and Energy Conversion Systems
7. Conclusions and Additional Opportunity Areas
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Acknowledgments
Conflicts of Interest
References
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Symbol | Description | Units |
---|---|---|
P | Actual attainable power | W |
Rated power | W | |
Shunt resistance | ||
Frame voltage, respect to ground | V |
Reference | Degradation | Regeneration | PRM | Variables | Complexity |
---|---|---|---|---|---|
[25] | Yes | Yes | 4 | Low | |
[26] | Yes | No | 9 | Medium | |
[27] | Yes | No | 7 | Medium | |
[28] | Yes | Yes | 9 | Medium |
Symbol | Description | Units |
---|---|---|
Ampere-hour throughput | ||
Cycling percentage capacity-deficit | % | |
Capacity degradation | % | |
Cycle-average depth of discharge | % | |
Cycle state of charge variation | % | |
Depth of discharge | % | |
Discharge rate | ||
Current pulse | A | |
Capacity fade degradation | % | |
n | Actual charge/discharge cycle | |
Cycles before 20% degradation | ||
Open circuit voltage | V | |
Q | Battery capacity | |
Capacity loss | % | |
Internal series-resistance | ||
Cycle-average state of charge | % | |
State of charge | % | |
Time for charge-depleting/charge-sustaining | s | |
Absolute cell temperature | ||
V | Actual voltage | V |
Data-sheet rated cycles | ||
Weighted number of cycles |
Reference | Type | PRM | Variables | Error | Complexity |
---|---|---|---|---|---|
[45,46] | CFD | 3 | - | Low | |
[47] | CFD | 4 | - | Medium | |
[48] | CFD | 8 | 5% | High | |
[49] | CFD | 6 | RMS | Low | |
[50] | CFD | 3 | RMS | Low | |
[51] | CFD | 6 | - | Medium | |
[54] | CFD | 2 | - | Low | |
[55] | CFD | 4 | 5.4% | Low | |
[56] | CFD | 2 | 14% | Low | |
[56] | CFD | 3 | 14% | Low | |
[61] | PFD | 7 | RMS | Low | |
[63] | SOH | 11 | 1.01% | High | |
[67] | SOH | 11 | - | High |
Symbol | Description | Units |
---|---|---|
Airflow rate | CFM | |
Tafel slope | V | |
Voltage drop | V | |
Fuel utilization | % | |
Exchange current density | ||
History index for the airflow rate | ||
History index for the methanol concentration | ||
Actual current density | ||
History index for the methanol flow rate | ||
History index for the inner temperature | ||
Voltage oscillation amplitude | V | |
Degradation rate | % | |
S | Catalyst’s EC active surface area | |
Remaining life | year | |
Activation overvoltage | V | |
Actual output voltage | V | |
Ohmic overvoltage loss | V | |
Open circuit voltage before any degradation | V | |
Voltage at the maximum power output voltage | V | |
Cell voltage | V |
Reference | Fuel Cell | PRM | Variables | Error | Complexity |
---|---|---|---|---|---|
[73] | PEMFC | 4 | 4% | High | |
[74] | PEMFC | 7 | - | Medium | |
[75] | PEMFC | 4 | - | Medium | |
[76] | DMFC | 5 | High | ||
[76] | DMFC | 5 | High | ||
[75] | PEMFC | 8 | - | High | |
[77,78,79] | SOFC | 1 | - | Medium | |
[80] | SOFC | 5 | - | High |
Symbol | Description | Units |
---|---|---|
Expected operating life | h | |
Rated life | h | |
Core temperature | ||
Temperature for the rated life | ||
Actual operational voltage | V | |
Rated voltage | V |
Reference | Brand | PRM | Variables | Error | Complexity |
---|---|---|---|---|---|
[85] | LS Mtron | 2 | h | Low |
Device | Cycling | Overvoltage | Overcurrent | V/I Rate | Reverse V/I | Amp. (Osc.) | Freq. (Osc.) | ||
---|---|---|---|---|---|---|---|---|---|
Battery | [42], | [52,56], | [42], | [42,65,67], | [42,57,58,59], | [47,48,49,50,51,52], | [68,69,70,71]. | ||
[49,50,51,52], | [61,63,67], | [45,46,47], | [66]. | [59,64]. | [55], | ||||
[54,55,56]. | [66]. | [50,52], | [57,58,59], | ||||||
[53], | [61,64]. | ||||||||
[56,57,58,59]. | |||||||||
Fuel cell | N/A | N/A | [72]. | [72,73,74]. | [72,73], | [73]. | [74]. | ||
[75,76,77,78,79,80]. | |||||||||
PVM | N/A | N/A | N/A | [29,30,31]. | [29,30,31]. | [30]. | [23,24,25,26,27,28], | ||
[34,35,36,37,38,39]. | |||||||||
Supercapacitor | [83,84]. | [83,84]. | [83,84,85]. | [83,84]. | |||||
Converter | N/A | N/A | [89] | [90,91]. | |||||
Power switch | N/A | N/A | [92,93]. | ||||||
Capacitor | [86]. | ||||||||
Wiring | N/A | N/A | N/A | [87]. |
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Rodríguez Licea, M.A.; Pérez Pinal, F.J.; Soriano Sánchez, A.G. An Overview on Electric-Stress Degradation Empirical Models for Electrochemical Devices in Smart Grids. Energies 2021, 14, 2117. https://doi.org/10.3390/en14082117
Rodríguez Licea MA, Pérez Pinal FJ, Soriano Sánchez AG. An Overview on Electric-Stress Degradation Empirical Models for Electrochemical Devices in Smart Grids. Energies. 2021; 14(8):2117. https://doi.org/10.3390/en14082117
Chicago/Turabian StyleRodríguez Licea, Martín Antonio, Francisco Javier Pérez Pinal, and Allan Giovanni Soriano Sánchez. 2021. "An Overview on Electric-Stress Degradation Empirical Models for Electrochemical Devices in Smart Grids" Energies 14, no. 8: 2117. https://doi.org/10.3390/en14082117