Adaptive Recombination-Based Control Strategy for Cell Balancing in Lithium-Ion Battery Packs: Modeling and Simulation
Abstract
1. Introduction
Balancing Methods | Switches | DC-DC Converters | Other Components | Description |
---|---|---|---|---|
Push–Pull Converter-Based [27] | 2N | 1 | MOSFETs; Diodes; Capacitors; Resistors | Pull charge from high-potential cell and push to low potential cell one at a time with high frequency switching. |
Reconfigurable Converter-Based [31] | 2N | 1 | Transistors; Diodes; Capacitors; Inductors | Isolate high-potential cell/s to store charge in inductor and feed to isolated low potential cell/s with high frequency switching. |
Bidirectional Cuk Converter-Based [32] | 2N | N−1 | MOSFETs; Diodes; Capacitors; Inductors | Individual balancing circuit in between every 2 cells. Each cell has access to 2 balancing circuits. High frequency switching. |
Event-Triggered Consensus Algorithm [33] | 2N−2 | N−1 | MOSFETs; Diodes; Capacitors; Inductors | Individual balancing circuit in between every 2 cells. Each cell has access to 2 balancing circuits. High frequency switching. |
Modular Multilevel Series–Parallel Converter [34] | 8N | 1 | Capacitors; Inductors | Uses 2 4-switch bridge rectifiers for each cell to change series–parallel combination with high frequency switching. Designed for grid storage. |
Bidirectional Flyback Converter [35] | 4N | 2 | MOSFETs; Diodes; Capacitors | Uses PWM control with high frequency switching at 2 flyback converters (forward and reverse), and bidirectional cell switches at both positive and negative ends of each cell. |
Continuous Current Mode [36] | 4N−4 | 0 | N−1 Inductors | Each cell has access to 2 inductors as external storage topology. |
Isolated DC-DC Converter [37] | 4N | N | Diodes, Transformers | Isolates high-potential cells during charging to charge low-potential cells first. Designed for charging only. |
Low-Voltage Output Regulation [38] | 2N | N | Capacitors | Steps down all cells individually at different switching frequency to achieve balance. |
Hybrid Duty Cycle Balancing [39] | 3N | 1+M 1 | Converter Circuitry | Has 1 central DC-DC converter for the pack and 1 local DC-DC converter for each module. |
Inductor-Based [40] | 2N+2 | 0 | N−1 Inductors | Targeted to reduce the number of switches, but added inductors as external storage topology. Each cell has access to 2 inductors. |
Switched Supercapacitor-Based [41] | N | 0 | N Capacitors | On–off hysteresis control for supercapacitors as external storage topology connected with each individual cell. |
Proposed Method | 2N−2 | 0 | None | Changes series–parallel combination of the sting to perform cell-balancing. |
- Development of a dynamically configurable and load-responsive control logic that enables adaptive cell recombination without requiring external converters or passive dissipative elements;
- Design of a switching architecture using 2N−2 SPDT switches for full-cell accessibility and scalable implementation;
- Simulation of the proposed strategy in MATLAB/Simulink under resting, charging, and discharging conditions while balancing time comparison;
- Comparative analysis with state-of-the-art balancing strategies in terms of SoC uniformity and hardware complexity;
- Validation using a realistic Panasonic NCR18650PF lithium-ion cell model in simulation to assess discharge performance and confirm applicability in practical systems.
2. Proposed Methodology
2.1. System Architecture
2.2. Control Algorithm
- State of charge of each cell: SoCcell.
- Pack-level voltage (Vpack) and current (Ipack).
- Load power requirement (Pload).
- Battery phase (charging, discharging, resting).
- Cell fault status (binary flag).
2.3. Switching Strategy
3. Simulation Setup and Performance Evaluation
3.1. Simulation Setup
3.2. Balancing in Resting Condition
3.3. Balancing in Charging Conditions
3.4. Balance in Discharging Conditions
4. Model Validation Using Panasonic NCR18650PF Cell Parameters
5. Comparative Analysis
6. Discussion and Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
BMS | Battery Management System |
SoC | State of Charge |
DC-DC | Direct Current to Direct Current |
SPDT | Single Pole Double Throw |
EV | Electric Vehicle |
HIL | Hardware-in-the-Loop |
CC | Cell Count |
OCV | Open-Circuit Voltage |
Appendix A
Appendix A.1. Recombination Topologies
Appendix A.2. Recombination Modes
#. | Cell Combinations | Cell Count | #. | Cell Combinations | Cell Count | #. | Cell Combinations | Cell Count |
---|---|---|---|---|---|---|---|---|
1 | C1, C2, C3, C4, C5 | 5 | 28 | C1, C2, (C3 ǁ C4), !C5 | 3 | 55 | !C1, (C2 ǁ C3), !C4, C5 | 2 |
2 | (C1 ǁ C2), C3, C4, C5 | 4 | 29 | !C1, !C2, C3, C4, C5 | 3 | 56 | !C1, (C2 ǁ C3), C4, !C5 | 2 |
3 | C1, (C2 ǁ C3), C4, C5 | 4 | 30 | !C1, C2, !C3, C4, C5 | 3 | 57 | !C1, C2, (C3 ǁ C4), !C5 | 2 |
4 | C1, C2, (C3 ǁ C4), C5 | 4 | 31 | !C1, C2, C3, !C4, C5 | 3 | 58 | C1, !C2, !C3, (C4 ǁ C5) | 2 |
5 | C1, C2, C3, (C4 ǁ C5) | 4 | 32 | !C1, C2, C3, C4, !C5 | 3 | 59 | C1, !C2, (C3 ǁ C4), !C5 | 2 |
6 | !C1, C2, C3, C4, C5 | 4 | 33 | C1, !C2, !C3, C4, C5 | 3 | 60 | (C1 ǁ C2), !C3, !C4, C5 | 2 |
7 | C1, !C2, C3, C4, C5 | 4 | 34 | C1, !C2, C3, !C4, C5 | 3 | 61 | (C1 ǁ C2), !C3, C4, !C5 | 2 |
8 | C1, C2, !C3, C4, C5 | 4 | 35 | C1, !C2, C3, C4, !C5 | 3 | 62 | (C1 ǁ C2), C3, !C4, !C5 | 2 |
9 | C1, C2, C3, !C4, C5 | 4 | 36 | C1, C2, !C3, !C4, C5 | 3 | 63 | C1, (C2 ǁ C3), !C4, !C5 | 2 |
10 | C1, C2, C3, C4, !C5 | 4 | 37 | C1, C2, !C3, C4, !C5 | 3 | 64 | !C1, !C2, !C3, C4, C5 | 2 |
11 | (C1 ǁ C2), (C3 ǁ C4), C5 | 3 | 38 | C1, C2, C3, !C4, !C5 | 3 | 65 | !C1, !C2, C3, !C4, C5 | 2 |
12 | (C1 ǁ C2), C3, (C4 ǁ C5) | 3 | 39 | (C1 ǁ C2 ǁ C3), (C4 ǁ C5) | 2 | 66 | !C1, !C2, C3, C4, !C5 | 2 |
13 | C1, (C2 ǁ C3), (C4 ǁ C5) | 3 | 40 | (C1 ǁ C2), (C3 ǁ C4 ǁ C5) | 2 | 67 | C1, !C2, !C3, !C4, C5 | 2 |
14 | (C1 ǁ C2 ǁ C3), C4, C5 | 3 | 41 | (C1 ǁ C2 ǁ C3 ǁ C4), C5 | 2 | 68 | C1, !C2, !C3, C4, !C5 | 2 |
15 | C1, (C2 ǁ C3 ǁ C4), C5 | 3 | 42 | C1, (C2 ǁ C3 ǁ C4 ǁ C5) | 2 | 69 | C1, C2, !C3, !C4, !C5 | 2 |
16 | C1, C2, (C3 ǁ C4 ǁ C5) | 3 | 43 | !C1, (C2 ǁ C3), (C4 ǁ C5) | 2 | 70 | C1 ǁ C2 ǁ C3 ǁ C4 ǁ C5 | 1 |
17 | !C1, (C2 ǁ C3), C4, C5 | 3 | 44 | !C1, (C2 ǁ C3 ǁ C4), C5 | 2 | 71 | !C1, (C2 ǁ C3 ǁ C4 ǁ C5) | 1 |
18 | !C1, C2, (C3 ǁ C4), C5 | 3 | 45 | !C1, C2, (C3 ǁ C4 ǁ C5) | 2 | 72 | (C1 ǁ C2 ǁ C3 ǁ C4), !C5 | 1 |
19 | !C1, C2, C3, (C4 ǁ C5) | 3 | 46 | C1, !C2, (C3 ǁ C4 ǁ C5) | 2 | 73 | !C1, !C2, (C3 ǁ C4 ǁ C5) | 1 |
20 | C1, !C2, (C3 ǁ C4), C5 | 3 | 47 | (C1 ǁ C2), !C3, (C4 ǁ C5) | 2 | 74 | !C1, (C2 ǁ C3 ǁ C4), !C5 | 1 |
21 | C1, !C2, C3, (C4 ǁ C5) | 3 | 48 | (C1 ǁ C2 ǁ C3), !C4, C5 | 2 | 75 | (C1 ǁ C2 ǁ C3), !C4, !C5 | 1 |
22 | (C1 ǁ C2), !C3, C4, C5 | 3 | 49 | (C1 ǁ C2), (C3 ǁ C4), !C5 | 2 | 76 | !C1, !C2, !C3, (C4 ǁ C5) | 1 |
23 | C1, C2, !C3, (C4 ǁ C5) | 3 | 50 | (C1 ǁ C2 ǁ C3), C4, !C5 | 2 | 77 | !C1, !C2, (C3 ǁ C4), !C5 | 1 |
24 | (C1 ǁ C2), C3, !C4, C5 | 3 | 51 | C1, (C2 ǁ C3 ǁ C4), !C5 | 2 | 78 | (C1 ǁ C2), !C3, !C4, !C5 | 1 |
25 | C1, (C2 ǁ C3), !C4, C5 | 3 | 52 | !C1, !C2, (C3 ǁ C4), C5 | 2 | 79 | !C1, !C2, !C3, !C4, C5 | 1 |
26 | (C1 ǁ C2), C3, C4, !C5 | 3 | 53 | !C1, !C2, C3, (C4 ǁ C5) | 2 | 80 | !C1, !C2, !C3, C4, !C5 | 1 |
27 | C1, (C2 ǁ C3), C4, !C5 | 3 | 54 | !C1, C2, !C3, (C4 ǁ C5) | 2 | 81 | C1, !C2, !C3, !C4, !C5 | 1 |
Appendix A.3. Simulation Inputs and Outputs
Test Cases | Cell-1 | Cell-2 | Cell-3 | Cell-4 | Cell-5 | Initial ∆SoC |
---|---|---|---|---|---|---|
1 | 15% | 98% | 96% | 49% | 80% | 83% |
2 | 66% | 71% | 26% | 71% | 57% | 45% |
3 | 46% | 53% | 48% | 50% | 50% | 7% |
Test Cases | Initial ∆SoC | Initial SoCavg | One-Cell-at-a-Time | All-Cells-at-a-Time | ||||
---|---|---|---|---|---|---|---|---|
Final ∆SoC | Final SoCavg | Balancing Time | Final ∆SoC | Final SoCavg | Balancing Time | |||
1 | 83% | 67.6% | 0.00% | 67.6% | 470 s | 0.87% | 67.6% | 160 s |
2 | 45% | 58.2% | 0.83% | 58.2% | 100 s | 0.83% | 58.2% | 100 s |
3 | 7% | 49.4% | 0.50% | 49.4% | 60 s | 0.87% | 49.4% | 40 s |
Test Cases | Cell-1 | Cell-2 | Cell-3 | Cell-4 | Cell-5 | Initial ∆SoC |
---|---|---|---|---|---|---|
1 | 18% | 44% | 77% | 78% | 80% | 62% |
2 | 25% | 37% | 42% | 49% | 56% | 31% |
3 | 45% | 46% | 48% | 50% | 51% | 6% |
Test Cases | Initial ∆SoC | Initial SoCavg | One-Cell-at-a-Time | All-Cells-at-a-Time | ||||
---|---|---|---|---|---|---|---|---|
Final ∆SoC | Final SoCavg | Balancing Time | Final ∆SoC | Final SoCavg | Balancing Time | |||
1 | 62% | 59.4% | 0.42% | 80.2% | 12 min | 0.99% | 66.6% | 250 s |
2 | 31% | 41.8% | 0.67% | 55.7% | 8 min | 0.98% | 48.2% | 220 s |
3 | 6% | 48.0% | 0.97% | 52.3% | 150 s | 0.97% | 52.3% | 150 s |
Test Cases | Cell-1 | Cell-2 | Cell-3 | Cell-4 | Cell-5 | Initial ∆SoC |
---|---|---|---|---|---|---|
1 | 14% | 37% | 53% | 55% | 96% | 82% |
2 | 39% | 44% | 53% | 63% | 71% | 32% |
3 | 45% | 49% | 50% | 53% | 55% | 10% |
Test Cases | Initial ∆SoC | Initial SoCavg | One-Cell-at-a-Time | All-Cells-at-a-Time | ||||
---|---|---|---|---|---|---|---|---|
Final ∆SoC | Final SoCavg | Balancing Time | Final ∆SoC | Final SoCavg | Balancing Time | |||
1 | 82% | 51.0% | 0.12% | 13.7% | 40 min | 0.87% | 47.7% | 220 s |
2 | 32% | 54.0% | 0.79% | 39.5% | 16 min | 0.95% | 51.3% | 180 s |
3 | 10% | 50.4% | 0.85% | 46.6% | 320 s | 0.94% | 48.6% | 120 s |
Test Cases | Operating Condition | Cell-1 | Cell-2 | Cell-3 | Cell-4 | Cell-5 | Initial ∆SoC |
---|---|---|---|---|---|---|---|
1 | Resting | 50% | 73% | 54% | 54% | 36% | 37% |
2 | Charging | 47% | 49% | 57% | 61% | 63% | 16% |
3 | Discharging | 34% | 44% | 47% | 64% | 65% | 31% |
Test Cases | Initial ∆SoC | Initial SoCavg | One-Cell-at-a-Time | All-Cells-at-a-Time | ||||
---|---|---|---|---|---|---|---|---|
Final ∆SoC | Final SoCavg | Balancing Time | Final ∆SoC | Final SoCavg | Balancing Time | |||
1 | 37% | 53.4% | 0.70% | 53.4% | 80 min | 0.87% | 53.4% | 75 min |
2 | 16% | 55.4% | 0.86% | 62.4% | 115 min | 0.92% | 59.1% | 60 min |
3 | 31% | 50.8% | 0.97% | 34.7% | 8.25 h | 0.90% | 47.4% | 105 min |
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Electric Vehicles | Tesla, Inc. [8,9,10,11] | BYD Co., Ltd. [12] | Lucid Group, Inc. [13,14,15] | Porsche AG [16] | Xiaomi Auto [17,18] |
---|---|---|---|---|---|
EV Model | Model S Plaid | Han EV | Air Dream Edition | Taycan Turbo S | SU7 Max |
Introduced In | 2021 | 2020 | 2021 | 2019 | 2024 |
EV Origin | USA | China | USA | Germany | China |
Battery Voltage | 407 V | 570 V | 800 V | 800 V | 727 V |
Energy Capacity | 100 kWh | 88 kWh | 120 kWh | 93.4 kWh | 101 kWh |
Number of Cells | 7920 Cells | 178 Cells | 6600 Cells | 396 Cells | 198 Cells |
Number of Modules | 5 Modules | 1 Module | 22 Modules | 33 Modules | 1 Module |
Module Arrangement | 22s72p | 178s1p | 10s30p | 12s1p | 198s1p |
Series String | 22 Cells | 178 Cells | 10 Cells | 12 Cells | 198 Cells |
Parallel String | 72 Series Strings | 1 Series String | 30 Series Strings | 1 Series String | 1 Series String |
Cell Voltage | 3.7 V | 3.2 V | 3.7 V | 3.7 V | 3.67 V |
Cell Capacity | 3.4 Ah | 500 Ah | 5 Ah | 25 Ah | 139 Ah |
Cell Chemistry | Lithium-ion | Lithium Iron-Phosphate | Lithium-ion | Lithium-ion | Lithium Nickel-Manganese Cobalt-Oxide |
Cell Model | Tesla 18650 | Prismatic LFP | 50G-2170 | Pouch | Li-NMC |
Cell Manufacturer | Panasonic | BYD | Samsung | Porsche | CATL |
Cell Origin | Japan | China | South Korea | Germany | China |
Cell Combinations | Explanation |
---|---|
C(n−1), Cn, C(n+1) | Cn is in series with previous and next cell |
(C(n−1) ǁ Cn), C(n+1) | Cn is in parallel with prev. cell, and together in series with next cell |
C(n−1), (Cn ǁ C(n+1)) | Cn is in parallel with next cell, and together in series with prev. cell |
C(n−1) ǁ Cn ǁ C(n+1) | Cn is in parallel with previous and next cell |
!C(n−1), Cn, C(n+1) | Cn is in series with next cell, previous cell is isolated |
!C(n−1), (Cn ǁ C(n+1)) | Cn is in parallel with next cell, previous cell is isolated |
C(n−1), !Cn, C(n+1) | Cn is isolated, previous and next cells are in series |
C(n−1), Cn, !C(n+1) | Cn is in series with previous cell, next cell is isolated |
(C(n−1) ǁ Cn), !C(n+1) | Cn is in parallel with previous cell, next cell is isolated |
!C(n−1), !Cn, C(n+1) | Cn and its previous cell both are isolated, leaving only its next cell |
C(n−1), !Cn, !C(n+1) | Cn and its next cell are both isolated, leaving only its previous cell |
Cell-Combinations | Su1 | Sl1 | Su2 | Sl2 |
---|---|---|---|---|
C1, C2, C3 | 0 | 0 | 0 | 0 |
(C1 ǁ C2), C3 | 1 | 1 | 0 | 0 |
C1, (C2 ǁ C3) | 0 | 0 | 1 | 1 |
C1 ǁ C2 ǁ C3 | 1 | 1 | 1 | 1 |
!C1, C2, C3 | 0 | 1 | 0 | 0 |
C1, !C2, C3 | 0 | 0 | 0 | 1 |
C1, C2, !C3 | 0 | 0 | 1 | 0 |
!C1, !C2, C3 | 0 | 1 | 0 | 1 |
C1, !C2, !C3 | 1 | 0 | 1 | 0 |
!C1, (C2 ǁ C3) | 0 | 1 | 1 | 1 |
(C1 ǁ C2), !C3 | 1 | 1 | 1 | 0 |
Parameters | Values |
---|---|
Switch Type | SPDT |
Cell Type | lithium-ion |
Cell Capacity | 100 mAh |
Max. Cell Current | 400 mA |
Number of Cells | 5 |
Number of Switches | 8 |
Nominal Cell Voltage | 3.6 V |
Nominal Pack Voltage | 18 V |
DC Source | 24 V |
DC Load | 1 W |
Parameters | Values |
---|---|
Cell Type | Lithium-ion |
Cell Capacity | 2700 mAh |
Nominal Cell Voltage | 3.6 V |
Nominal Cell Current | 1375 mA |
Part Number | NCR18650PF |
Manufacturer | Panasonic |
Balancing Models | Resting Condition | Charging Condition | Discharging Condition |
---|---|---|---|
Push–Pull Converter-Based Model [5] | Final SoCavg = Initial SoCavg | Final SoCavg = 100% SoC | Final SoCavg = 0% SoC |
Reconfigurable Converter-Based Model [6] | Initial SoCavg > Final SoCavg Final SoCavg > 0% SoC | N/A | Initial SoCavg > Final SoCavg Final SoCavg > 0% SoC |
Bidirectional Cuk Converter-Based Model [22] | Final SoCavg = Initial SoCavg | N/A | Initial SoCavg > Final SoCavg Final SoCavg > 0% SoC |
Event-Triggered Consensus Algorithm [27] | Initial SoCavg > Final SoCavg Final SoCavg > 0% SoC | Initial SoCavg < Final SoCavg Final SoCavg < 100% SoC | Initial SoCavg > Final SoCavg Final SoCavg > 0% SoC |
Low-Voltage Output Regulation [36] | N/A | N/A | Initial SoCavg > Final SoCavg Final SoCavg > 0% SoC |
Hybrid Duty Cycle Balancing Model [39] | N/A | Initial SoCavg < Final SoCavg Final SoCavg < 100% SoC | Initial SoCavg > Final SoCavg Final SoCavg > 0% SoC |
Inductor-Based Model [40] | Initial SoCavg > Final SoCavg Final SoCavg > 0% SoC | Initial SoCavg < Final SoCavg Final SoCavg < 100% SoC | Initial SoCavg > Final SoCavg Final SoCavg > 0% SoC |
Proposed Model | Final SoCavg = Initial SoCavg | Initial SoCavg < Final SoCavg Final SoCavg < 100% SoC | Initial SoCavg > Final SoCavg Final SoCavg > 0% SoC |
Balancing Models | Possible Combinations | Switch Required | DC-DC Conversion | High Freq. Switching |
---|---|---|---|---|
Isolated DC-DC Converter-Based Charging Model [32] | 6 | 12 | 3 | Yes |
Reconfigurable Converter-Based Model [6] | 6 | 6 | 1 | Yes |
Modular Multilevel Series–Parallel Converter-Based Model [28] | 11 | 24 | 1 | Yes |
Proposed Model | 11 | 4 | 0 | No |
Experimental Cells | Operating Condition | One-Cell-at-a-Time Connection Scheme | All-Cells-at-a-Time Connection Scheme | Reduction Rate |
---|---|---|---|---|
Ideal Cell | Resting | 100 s | 100 s | 0.0% |
Charging | 8 min | 220 s | 54.2% | |
Discharging | 16 min | 180 s | 81.3% | |
Panasonic Cell | Resting | 80 min | 75 min | 6.3% |
Charging | 115 min | 60 min | 47.8% | |
Discharging | 8.25 h | 105 min | 78.8% |
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Hassan, K.; Lu, S.F.; Gilbert, T.T.H. Adaptive Recombination-Based Control Strategy for Cell Balancing in Lithium-Ion Battery Packs: Modeling and Simulation. Electronics 2025, 14, 2217. https://doi.org/10.3390/electronics14112217
Hassan K, Lu SF, Gilbert TTH. Adaptive Recombination-Based Control Strategy for Cell Balancing in Lithium-Ion Battery Packs: Modeling and Simulation. Electronics. 2025; 14(11):2217. https://doi.org/10.3390/electronics14112217
Chicago/Turabian StyleHassan, Khalid, Siaw Fei Lu, and Thio Tzer Hwai Gilbert. 2025. "Adaptive Recombination-Based Control Strategy for Cell Balancing in Lithium-Ion Battery Packs: Modeling and Simulation" Electronics 14, no. 11: 2217. https://doi.org/10.3390/electronics14112217
APA StyleHassan, K., Lu, S. F., & Gilbert, T. T. H. (2025). Adaptive Recombination-Based Control Strategy for Cell Balancing in Lithium-Ion Battery Packs: Modeling and Simulation. Electronics, 14(11), 2217. https://doi.org/10.3390/electronics14112217