Spatial Thermal Gradient Impacts on Prismatic Cell Degradation Diagnostics
Intra-cell thermal gradients distort electrochemical signals, leading diagnostic tools to mistake thermal smearing for capacity loss; gradient-aware math prevents premature pack retirement.

Core
Internal heat generation in large-format prismatic cells effectively splits the cell volume into separate electrochemical domains. Within a 71-millimeter-thick 280Ah or 320Ah lithium-iron-phosphate cell, heat generated during charge and discharge moves through a strongly anisotropic thermal path. Metallic current collectors conduct heat efficiently in-plane, while porous ceramic-coated separators and active material coatings resist heat transfer across the stack.
In-plane thermal conductivity reaches 25 to 30 watts per meter-kelvin along the copper and aluminum foils, whereas cross-plane conductivity drops to 0.5 to 1.2 watts per meter-kelvin across the stacked or wound electrode package.
Current concentration at tab connections drives localized thermal spikes at the cell header. Dual-top tab configurations force the full operational current through narrow current-collector tabs welded to internal busing. Ohmic dissipation at these junctions, paired with high local current density, keeps header temperatures significantly higher than the cell base.
Under a continuous 1C discharge, internal core temperatures run 8°C to 14°C above surface temperatures measured by exterior cooling systems. Cold plates mounted on the bottom or sides then establish steep thermal gradients across both the height and thickness of the casing.
These thermal gradients alter local impedance across the cell. Warmer regions near the core and tabs exhibit lower charge-transfer resistance and higher ionic diffusivity in the electrolyte, whereas colder areas near external cooling plates suffer from higher charge-transfer resistance and lower electrolyte conductivity. Current naturally channels into these lower-resistance zones, forcing warmer regions to carry a disproportionate share of the load during high-power operation.
The resulting local current density accelerates local electrochemical reactions, creating spatial variations in state of charge and localized aging.
| Format & Chemistry | In-Plane Conductivity (W/m·K) | Cross-Plane Conductivity (W/m·K) | Core-to-Surface Delta at 1C (°C) | Core-to-Surface Delta at 2C (°C) |
|---|---|---|---|---|
| 280Ah LFP Prismatic (Stacked) | 28.5 | 0.85 | 9.4 | 17.2 |
| 305Ah LFP Prismatic (Wound) | 24.1 | 0.62 | 11.8 | 21.5 |
| 320Ah LFP Prismatic (Stacked) | 29.0 | 0.88 | 10.1 | 18.6 |
| 180Ah NCM811 Prismatic (Stacked) | 31.2 | 0.95 | 8.2 | 15.8 |
Electrochemical diagnostic routines rely on the implicit assumption that a cell operates as a single uniform volume. Lab cycle testing and onboard battery management algorithms assess health using terminal voltage, bulk current, and spot surface temperatures. Internal thermal gradients break this assumption.
When internal temperatures vary by 10°C between core and surface, the cell no longer behaves as a monolithic storage unit, acting instead like an array of parallel micro-cells operating at different temperatures, states of charge, and internal resistances.
Under a continuous 1C discharge rate at ambient room conditions, a 305Ah prismatic cell generates a steady-state core-to-casing thermal difference of 11.8°C.
Cell casing designs often exacerbate internal thermal differences. Aluminum shells provide modest surface heat spreading, but the thick structural walls required to constrain mechanical swelling hinder heat extraction from internal corners. Differential thermal expansion puts stress on separator layers, while uneven pressure distribution alters local porosity and electrolyte wetting.
Over extended cycling, core zones under heavy thermal stress suffer localized electrolyte depletion, and microscopic structural shifts compound the initial current density variations.
Cell manufacturers frequently attribute diagnostic anomalies in field-returned units to external pack integration rather than internal thermal architecture. Technical representatives often argue that surface readings taken at the center of the casing face reflect true average operating conditions, and that internal thermal equilibrium returns quickly once current pauses. These claims ignore the low cross-plane thermal diffusivity of multi-layer electrode stacks, which trap heat in the core long after current stops.

Distortion
Spatial thermal gradients distort the primary signals relied on for degradation diagnostics. Incremental capacity analysis converts measured terminal voltage and current during slow charge or discharge cycles into differential capacity curves. Voltage plateaus corresponding to phase transitions in active materials appear as distinct peaks on these plots.
Standard diagnostic protocols then correlate shifts in peak height, area, and position with specific degradation modes, such as loss of lithium inventory or loss of active electrode material.
Thermal gradients alter the timing of phase transitions across the cell plane. Higher temperatures slightly depress equilibrium potentials while reducing charge-transfer and ohmic overpotentials. Lower temperatures increase overpotentials, delaying phase transition signatures along the terminal voltage curve.
During a diagnostic charge, warm core regions reach graphite intercalation stages earlier than cooler outer regions, causing terminal voltage to reflect a weighted mix of spatially distributed local potentials.
Rather than appearing at sharp potential thresholds, phase transition signatures smear across the voltage spectrum. Peak heights on differential capacity curves drop while peak widths broaden. Diagnostic algorithms regularly interpret this thermal smearing as active material loss or structural damage to the graphite lattice, even though the active material remains intact and fully functional.
Thermal gradients smear phase transition peaks across the voltage spectrum, leading automated diagnostic routines to mistake spatial temperature variance for irreversible active mass degradation.
Differential voltage analysis suffers similar corruption. Converting charge capacity into differential voltage curves yields peaks that mark boundaries between solid-solution and phase-coexistence regions. Spatial temperature variations cause these transitions to occur asynchronously across the cell volume.
Features shift along the capacity axis and push open-circuit voltage curves away from baseline calibration tables, leading battery management systems to calculate inaccurate state-of-health values.
Electrochemical impedance spectroscopy records voltage responses across AC frequencies to isolate transport and reaction kinetics. Spatial thermal gradients split single semi-circles on Nyquist plots into overlapping arcs. High-temperature core zones contribute low charge-transfer resistance responses at higher frequencies, while low-temperature edges add high-resistance responses that bleed into lower frequency domains.
Fitting these smeared spectra to standard equivalent circuit models artificially inflates modeled charge-transfer resistance and yields incorrect diffusion coefficients.
- Incremental Capacity Peak Broadening flattening of characteristic dQ/dV peaks driven by non-uniform phase transition timing across internal thermal zones.
- Open Circuit Voltage Hysteresis Expansion apparent widening of thermodynamic potential gaps due to persistent thermal relaxation delays between core and casing.
- Impedance Arc Splitting artificial distortion of charge-transfer semi-circles in Nyquist plots from parallel multi-temperature kinetic responses.
- Differential Voltage Shift migration of dV/dQ inflection points along the capacity axis caused by spatial state of charge offset.
Open-circuit voltage relaxation measurements are equally sensitive to thermal artifacts. Diagnostic protocols pause current flow and monitor voltage recovery to estimate equilibrium potentials and diffusion rates, but thermal relaxation occurs concurrently with concentration relaxation. As core heat dissipates over several hours, local equilibrium potentials and internal current flows shift while the cell rests.
The resulting terminal voltage drift mimics extended solid-state lithium diffusion, corrupting calculated diffusion coefficients.
| Diagnostic Technique | Primary Target Parameter | Thermal Gradient Mechanism | Apparent Degradation Artifact | Diagnostic Error Magnitude |
|---|---|---|---|---|
| Incremental Capacity (dQ/dV) | Active Material Loss (LAM) | Asynchronous phase transition | Peak height reduction & broadening | 3.5% to 6.8% false LAM |
| Differential Voltage (dV/dQ) | Lithium Inventory Loss (LLI) | Spatial SOC offset across plane | Inflection point translation | 2.1% to 4.5% false LLI |
| Impedance Spectroscopy (EIS) | Charge Transfer Resistance (R_ct) | Parallel kinetic rate superposition | Mid-frequency semi-circle smearing | 12% to 25% overestimation of R_ct |
| OCV Relaxation Tracking | Solid-State Diffusion Rate (D_Li) | Coupled thermal & concentration relaxation | Extended transient voltage tailing | 30% error in diffusivity fit |
Diagnostic tools assessing cell health under non-uniform temperatures generate compounded errors over extended operating lifetimes. Diagnostic software on field-returned prismatic packs has logged premature capacity end-of-life status based entirely on smeared differential capacity signatures. Teardown analysis revealed uniform electrode thickness, no active mass isolation, and full chemical recovery once the cells were re-tested under strict isothermal laboratory conditions.
Misinterpreting thermal gradient artifacts leads directly to premature pack condemnation.
A diagnostic signal corrupted by non-uniform temperatures yields unreliable metrics regardless of model sophistication.

Plating
Localized degradation modes thrive within the boundary conditions established by internal spatial gradients. Metallic lithium plating represents the most severe risk among these mechanisms, occurring when the electrochemical potential of the negative electrode drops below 0 volts relative to Li/Li+ during charging. Under uniform isothermal conditions, battery management systems prevent plating by constraining charge current at low temperatures or high states of charge based on bulk cell potential.
Spatial thermal gradients undermine these bulk potential safeguards. Colder regions near external cooling structures exhibit higher charge-transfer resistance and sluggish lithium diffusion within graphite particles, requiring higher local overpotentials to sustain current driven from the rest of the cell. Meanwhile, warmer core zones maintain low overpotentials and high conductivity.
Current channels preferentially through warmer paths, but total applied voltage still forces current through cold regions.
Cold zones experience severe localized polarization. Local anode potential in these cooler regions easily drops below 0 volts vs Li/Li+, triggering metallic lithium deposition on the graphite surface. Plating occurs locally even while total terminal voltage remains well within safe limits.
Initial deposits form mossy or dendritic structures that consume active lithium inventory and react with organic carbonate solvents to build secondary solid electrolyte interphase layers.

How Do Spatial Gradients Mask Anode Plating Thresholds?
Diagnostic tools relying on bulk terminal voltage monitoring fail to detect localized lithium plating in isolated cold corners. Differential capacity analysis can identify lithium stripping peaks during subsequent discharge cycles when plating occurs uniformly across the anode. However, when plating is confined to small, thermally suppressed zones, the stripping signal is weak and easily obscured by the thermal smearing of bulk phase transitions in warmer cell regions.
- Localized Anode Overpotential Spikes drop of local anode potential below 0V vs Li/Li+ in cold edge regions under high charging currents.
- Heterogeneous SEI Layer Thickening accelerated electrolyte decomposition in high-temperature core zones leading to uneven impedance growth.
- Active Lithium Entrapment physical isolation of metallic lithium dendrites inside thick localized SEI structures near cold casing boundaries.
- Mechanical Separator Compression non-uniform mechanical stress from localized plating deposits pressing against ceramic separator coatings.
Thermal gradients also accelerate spatial variance in solid electrolyte interphase growth. Higher core temperatures double electrolyte decomposition kinetics for every 10°C rise in local temperature. Core regions build thick, high-impedance surface films that consume active lithium and deplete local electrolyte volume, whereas cool peripheral regions form thin, unstable interphase layers prone to cracking during mechanical expansion and contraction cycles.
Long-term thermal non-uniformity creates self-reinforcing degradation loops inside the cell housing. Accelerated chemical degradation and electrolyte depletion in the core raise local ohmic resistance over time. That rising resistance redirects operational current toward peripheral zones, shifting the primary thermal load outward and establishing new, evolving gradients across the electrode stack.
This spatial migration of degradation pathways invalidates static diagnostic models built on uniform aging assumptions.
Non-uniform degradation leaves clear physical signatures during post-mortem analysis. Destructive physical analysis of cells subjected to long-term thermal gradients reveals distinct spatial patterning across harvested anode sheets. Core sections display thick, brown, organic-rich interphase deposits, while peripheral edges show silvery metallic lithium plating.
Scanning electron microscopy confirms micro-cracking and graphite particle exfoliation concentrated near tab connections and boundary cooling zones.
Questions persist regarding how localized lithium plating transitions into internal micro-short circuits across ceramic separators under continuous thermal cycling.

Probe
Physical characterization of spatial thermal gradients demands precise sensing equipment and disciplined bench testing protocols. Standard qualification procedures under IEC 62660-1 or UL 2580 permit single-point surface temperature measurements during electrical cycling. However, a single thermistor placed at the center of a 300Ah prismatic casing fails to capture internal thermal profiles, understating peak core temperatures by up to 12°C during continuous high-rate charging.
Reliable degradation diagnostics require multi-point surface thermography and calibrated internal sensing methodologies.
Evaluating spatial thermal behavior requires external sensor arrays paired with finite-element thermal reconstruction models. Infrared thermography maps surface temperature distributions across broad casing faces during open-air characterization cycles. Surface thermocouples mounted at tab joints, casing corners, bases, and central faces provide continuous tracking inside environmental test chambers.
Comparing surface thermal maps against heat generation models enables accurate reconstruction of core-to-surface profiles.
- Mount high-accuracy thermocouple sensors at nine distinct points across the primary casing face, including both tab welds, all four corners, and the casing center.
- Apply calibrated thermal interface material between the cell casing and cold plate structures, ensuring uniform mechanical clamping pressure of 0.3 MPa to 0.5 MPa.
- Equilibrate the assembly inside a temperature-controlled environmental chamber at 25.0°C for six hours to eliminate initial thermal offsets.
- Execute a continuous 1C charge protocol while recording multi-channel temperature responses at sample intervals not exceeding 1.0 second.
- Calculate instantaneous spatial thermal gradients across planar and through-thickness axes using measured surface temperature differentials and cell material conductivity constants.
Advanced laboratory diagnostics utilize embedded fiber-optic Fabry-Perot or Bragg grating sensors inserted directly into prototype cell casings during manufacturing. Thin glass fibers embedded between separator layers measure core temperatures along the full height of the electrode stack without introducing metallic components into high-voltage environments. Fiber-optic measurement data confirms that core temperatures peak significantly higher than surface arrays indicate, proving that casing-based measurements understate the thermal driving forces responsible for localized degradation.
Fixture design and clamping pressure strongly influence thermal measurement accuracy. Prismatic cells expand volumetrically during charge and discharge cycles as lithium intercalates into host lattices. Unconstrained cells develop internal air gaps between casing walls and jelly-rolls, reducing cross-plane thermal conductivity and dramatically raising core temperatures.
Rigid test fixtures that maintain controlled compressive force eliminate artificial gas-gap thermal barriers, ensuring repeatable baseline measurements.
Standard qualification protocols relying on single-point surface thermometry hide critical core-to-surface temperature deltas, invalidating baseline diagnostic parameters.
Environmental test chamber control protocols frequently distort diagnostic thermal profiles. Rapid air movement inside forced-convection chambers artificially chills external cell casings while high heat generation continues at the core. This aggressive surface cooling inflates core-to-casing thermal gradients beyond conditions experienced inside insulated pack enclosures.
Lab testing designed to evaluate cell degradation must replicate realistic pack-level thermal boundary conditions rather than maximizing open-air heat extraction.
Integrators have sustained substantial financial losses on historical pack deployments when laboratory life-cycle qualification tests were conducted inside high-velocity cold-air chambers. Forced external cooling suppressed surface thermistor readings, concealing severe internal core heat accumulation. Field units operating inside sealed, insulated enclosures suffered accelerated core electrolyte dry-out and premature capacity failure that laboratory qualification data failed to predict.

Calculus
Quantifying the diagnostic errors introduced by spatial thermal gradients requires a multi-zone electrochemical diagnostic model. Consider a commercial 305Ah LFP prismatic cell operating under periodic health verification testing. Standard isothermal diagnostic routines assume the cell operates uniformly at 25°C. In reality, operational current creates a steady-state thermal gradient across the cell volume, establishing three primary thermal domains: a high-temperature core zone, an intermediate bulk zone, and a low-temperature surface zone.
Defining the three thermal zones within the 305Ah cell during a 0.5C diagnostic charge sequence illustrates how errors propagate. The core zone accounts for 30% of total cell volume and operates at 36°C. The bulk zone accounts for 50% of volume and operates at 29°C. The surface zone accounts for 20% of volume and operates at 21°C. Total cell capacity equals 305.0 Ah under uniform isothermal 25°C baseline conditions, corresponding to an active lithium inventory (NLi) of 11.38 moles.
Each thermal domain exhibits a distinct exchange current density (j0) governed by the Arrhenius activation energy (Ea = 52 kJ/mol) for charge-transfer kinetics:
j0(T) = j0,ref · expleft( fracEaR left( frac1Tref – frac1T right) right)
At 36°C (309.15 K), the core zone exchange current density increases by a factor of 2.05 relative to baseline at 25°C (298.15 K). At 21°C (294.15 K), the surface zone exchange current density drops to 0.74 of baseline value. The local overpotential required to sustain current flow scales inversely with exchange current density.
During the diagnostic charge, total applied current (Itotal = 152.5 A) divides among the parallel thermal zones according to local impedance paths. The high-temperature core zone carries 54.2 A (equivalent to a local 0.59C rate), the bulk zone carries 74.7 A (0.49C rate), and the cold surface zone carries 23.6 A (0.39C rate). Spatial variance in local current density causes differential rates of lithium intercalation into the graphite host structure across the cell plane.
When measuring the terminal voltage during incremental capacity analysis, the overall cell voltage (Vterminal) reflects the parallel combination of local open-circuit potentials (Eocv,i) and local polarization overpotentials (ηi):
Vterminal = Eocv,i(SOCi) + ηi(Ii, Ti) + Ii · Rohmic,i(Ti)
Because core regions charge faster than surface regions, local state of charge (SOCi) diverges significantly during the charge process. When the core reaches 80% SOC, the surface region reaches only 68% SOC.
Calculated differential capacity (dQ/dV) curves derived from terminal voltage reflect smeared phase transition profiles. In LFP cells, the primary peak on the dQ/dV curve corresponds to the graphite stage 2 to stage 1 phase transition, which normally occurs at a sharp voltage threshold. Under a 15°C thermal gradient across core and surface zones, this peak broadens over a 28 mV wider voltage window, while peak amplitude drops from an isothermal baseline value of 2,450 Ah/V down to 1,820 Ah/V.
Standard diagnostic algorithms interpret this 25.7% drop in dQ/dV peak amplitude as a direct measure of active material degradation. The automated routine logs a calculated loss of active positive material (LAMPE) of 4.2% and a loss of lithium inventory (LLI) of 3.1%, despite zero chemical capacity loss in the cell materials. In effect, the algorithm mistakes spatial phase transition smearing for true chemical degradation.
| Diagnostic Parameter | Isothermal Baseline (25°C Uniform) | Gradient-Corrupted Measurement (15°C Delta) | Gradient-Aware Corrected Model | Diagnostic Error Introduced |
|---|---|---|---|---|
| Measured Peak dQ/dV (Ah/V) | 2,450 | 1,820 | 2,435 | -25.7% (Signal smearing) |
| Calculated LLI (%) | 0.0% | 3.1% | 0.1% | +3.0% False LLI allocation |
| Calculated LAM_PE (%) | 0.0% | 4.2% | 0.2% | +4.0% False LAM allocation |
| Apparent State of Health (%) | 100.0% | 94.8% | 99.7% | -4.9% False capacity reduction |
| Projected RUL (Cycles to 80%) | 4,000 | 2,650 | 3,920 | -1,350 Cycles (Premature retirement) |
Extrapolating this corrupted diagnostic output over cycle life severely skews lifetime projections. Linear remaining useful life models project that the cell will breach the 80% state-of-health warranty threshold at cycle 2,650 based on corrupted dQ/dV metrics. Applying a gradient-aware three-zone model that corrects terminal voltage for internal thermal distribution restores the true capacity trajectory, projecting warranty threshold breach at cycle 3,920.
The uncorrected diagnostic routine understates remaining cell lifetime by 1,270 cycles.
Correcting diagnostic routines requires integrating multi-zone thermal equations into battery management system state estimators. Diagnostic algorithms must take real-time casing temperature inputs, calculate internal thermal distribution using verified reduced-order thermal models, and apply inverse smearing matrix transformations to measured terminal voltage derivatives before attributing capacity loss to specific degradation mechanisms.
The inverse transformation matrix decomposes the measured terminal differential capacity spectrum into constituent thermal sub-vectors:
beginbmatrix fracdQdV endbmatrixmeasured = sumk=1n wk(Tk) · beginbmatrix fracdQdV endbmatrixlocal(Tk, SOCk)
Solving this system yields true local active material retention rates and isolates genuine chemical degradation from transient thermal distortion artifacts.
Applying gradient-aware diagnostic corrections converts raw voltage signals into actionable chemical health parameters. Pack integrators relying on uncorrected diagnostic math expose themselves to massive financial liabilities through unjustified warranty replacements and premature pack decommissioning.

Governance
Thermal gradient management and diagnostic validity represent major liability exposure areas within cell supply agreements and pack warranty contracts. Standard master supply agreements define cell capacity and state-of-health verification procedures under strict laboratory conditions: single-cell testing at 25°C ± 2°C after a four-hour thermal soak inside a zero-airflow chamber. These contractually defined diagnostic conditions bear little resemblance to operational realities inside high-power battery packs.
When cells undergo diagnostic health checks inside operational energy storage systems, internal thermal gradients corrupt onboard state-of-health estimations. If an integrator decommissions a pack based on onboard algorithms showing 78% state of health, the cell manufacturer routinely rejects warranty claims. Factory laboratory re-testing of returned units under isothermal soak conditions yields 86% state of health, leaving the full financial burden of premature decommissioning on the integrator.
Procurement teams must negotiate explicit diagnostic verification protocols within supply agreement technical schedules. Contracts must specify whether state-of-health compliance is arbitrated through isothermal laboratory bench testing or through gradient-aware operational diagnostic models. Warranties must define acceptable core-to-surface temperature limits during diagnostic check cycles, obligating cell suppliers to provide verified thermal-electrochemical degradation lookup tables for multi-zone cell behavior.
- Equilibrate Thermal Conditions Mandate contractual requirement requiring a minimum six-hour thermal soak before executing diagnostic capacity verification tests.
- Multi-Point Surface Thermography Protocol binding inspection standard requiring temperature tracking across tabs and casing centers during lot acceptance testing.
- Gradient-Corrected SOH Arbitration Clause contract language defining how operational thermal gradients must be mathematically removed before evaluating warranty claims.
- Dangerous Goods Transport Compliance File mandatory UN 38.3 test summary documentation proving cell thermal stability under extreme internal temperature deltas.
Dangerous goods transport regulations impose stringent documentary requirements that intersect with thermal stress history. Section 38.3 of the UN Manual of Tests and Criteria mandates T.2 thermal testing, subjecting cells to repeated temperature extremes between -40°C and 72°C. While UN 38.3 certification verifies structural safety against thermal shock, it does not certify diagnostic stability under internal thermal gradients. A cell carrying valid UN 38.3 transport documentation can still suffer severe diagnostic distortion under operational thermal stress.
Regulatory compliance files under the EU Battery Regulation mandate digital battery passports tracking state-of-health metrics and remaining useful life predictions over total operational lifetime. Passports relying on uncorrected diagnostic algorithms log corrupted capacity degradation profiles, triggering false regulatory alerts regarding battery health status and end-of-life recycling obligations. Integrators bear legal responsibility for the accuracy of passport data submitted to European regulatory bodies.
Master supply contracts must incorporate specific diagnostic protocol clauses: “Capacity and State of Health verification for warranty arbitration shall be performed only after cell surface and core temperatures have equilibrated to 25.0°C ± 1.0°C for a minimum of four hours. Onboard diagnostic algorithms utilized for warranty claims must apply supplier-validated spatial thermal gradient correction matrices matching the specific module thermal boundary conditions.” Incorporating this clause eliminates diagnostic ambiguity and assigns commercial liability based on true chemical degradation rather than thermal measurement artifacts.

