Semiconductor Tandem Cell Current Matching Calculator

Ideal equal-area series tandem independent subcell current constraint; all tied limiting cells retained. No four-terminal sum, bypass/dynamic redistribution or independently predicted tandem JVcurve.

Description

A series tandem current-matching comparison identifies the lowest supplied subcell current density.

A series tandem current-matching comparison identifies the lowest supplied subcell current density.1

Tied limiting subcells and each remaining subcell's excess describe that idealized inventory.

When to use Semiconductor Tandem Cell Current Matching Calculator

Use this tool to obtain conditionalSeriesLimitingCurrentDensity, limitingSubcellIndices, signedSubcellExcessCurrentDensities from the supplied records using the stated calculation. Establish the device or material, operating point, units and independently applicable measurement or model calibration.

How to use Semiconductor Tandem Cell Current Matching Calculator and understand its results

  1. Establish the device or material, operating point, units and independently applicable measurement or model calibration.
  2. Enter independentlyMeasuredSubcellCurrentDensities, using the field meanings and rules below, then run the tool.
  3. Read result.conditionalSeriesLimitingCurrentDensity, result.limitingSubcellIndices, result.signedSubcellExcessCurrentDensities. Use the units and sign conventions below, and review any unknown records separately.
  4. Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.
Input fieldMeaningValue typeRequirement
independentlyMeasuredSubcellCurrentDensitiesIndependently measured subcell current densitieslist of numberRequired

Require a nonempty nonnegative list of independently measured subcell current densities. Return its minimum, every zero-based index tied at that minimum and each value-minus-minimum excess. No uniform illumination, independent subcell IV curves or bypass model is inferred.

limitingCurrentDensity=min(currentDensities); limitingIndices={i:value_i=min}; excess_i=value_i−min

Use the matching field units and the exact boundary, ordering and reference rules above.

Output fieldMeaningValue type
resultQualified observed calculation or explicit referenceobject
result.conditionalSeriesLimitingCurrentDensityMinimum supplied subcell current density under the declared series convention.number
result.limitingSubcellIndicesZero-based subcells tied at the minimum current density.list
result.signedSubcellExcessCurrentDensitiesEach subcell current density minus the minimum supplied value.list
json
{
  "input": {
    "independentlyMeasuredSubcellCurrentDensities": [
      10,
      12,
      10
    ]
  },
  "output": {
    "result": {
      "conditionalSeriesLimitingCurrentDensity": 10,
      "limitingSubcellIndices": [
        0,
        2
      ],
      "signedSubcellExcessCurrentDensities": [
        0,
        2,
        0
      ]
    }
  }
}

Limitations and assumptions

Device structure, material state, operating conditions and calibration determine applicability. The result does not infer missing physical parameters, verify a transport mechanism or validate a fabricated device model.

Missing required fields, unknown fields, wrong types and violated rules return input issues. Numeric values and outputs must be finite. Lists and matrices must be dense, without missing cells. Numeric lists allow at most 10000 entries, subject to the narrower lengths and code rules above. Extremely large composite outputs are rejected.

Alternative or Complementary methods

For a related step, use Semiconductor Thermophotovoltaic View Factor Calculator: An intercepted-power fraction compares power reaching the cell with matched emitter hemispheric power. For a complementary comparison, use Semiconductor Tandem Cell Voltage Addition Calculator: Series-connected tandem-cell voltages add at a common operating current.

References

  1. Semiconductor Tandem Cell Current Matching Calculator — tool.io

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