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Delta Wye Single Impedance Branch Tool

Convert one real-valued delta branch pair to its wye branch using the sum of all three delta impedances.

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Description

branch = adjacentFirst*adjacentSecond divided by that sum.

Ideal electrical component relations assume a stated topology, fixed parameters and coherent units. A local voltage, current or transformation term can be algebraically valid without accounting for parasitics, ratings or safe practical connections.

branch = adjacentFirst*adjacentSecond divided by that sum.

When to use this tool

Use Delta Wye Single Impedance Branch when checking one explicit ideal-component or divider relationship.

How to use the tool and how it works

  1. Enter adjacentFirst, adjacentSecond, opposite. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read branch. Use the output convention below.

Require adjacentFirst+adjacentSecond+opposite !== 0. branch = adjacentFirst*adjacentSecond divided by that sum.1

Input fieldMeaning and unitsAccepted input
adjacentFirstAdjacent FirstRequired. Finite number.
adjacentSecondAdjacent SecondRequired. Finite number.
oppositeOppositeRequired. Finite number.
Output fieldInterpretationReturned shape
branchBranchRequired. Finite number.
json
{
  "input": {
    "adjacentFirst": 3,
    "adjacentSecond": 6,
    "opposite": 9
  },
  "output": {
    "branch": 1
  }
}

Limitations and assumptions

  • Inputs are real scalar impedances on one unit basis and may be signed. This is one delta-to-wye branch, not a complex impedance conversion or full circuit validity check.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use a complete circuit model and qualified practical design when loading, nonlinearity, transients or safety limits matter.

References

  1. Calculation and input contract: electricity/delta-wye-single-impedance-branch — tool.io

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