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Math & Numbers

Three-Phase Short-Circuit Current Calculator (IEC 60909)

Estimate the three-phase symmetric short-circuit current using the IEC 60909 far-from-generator method: I"_k = c·U_n/(√3·|Z|) and i_p = κ·√2·I"_k with κ = 1.02 + 0.98·e^(−3R/X). Source impedance is the series sum of transformer and line R/X.

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Quick start

Call this tool from your code in three languages.

cURL
curl -X POST 'https://api.elysiatools.com/en/api/tools/short-circuit-current-calculator' \
  -H 'Content-Type: application/json' \
  -d '{"systemVoltage":400,"voltageFactor":"1.05","transformerR":0.005,"transformerX":0.015,"lineR":0.01,"lineX":0.005,"decimalPlaces":4}'

API reference

Send a POST request with your inputs as JSON. File parameters require a separate upload first.

Endpoint

HTTP
POST https://api.elysiatools.com/en/api/tools/short-circuit-current-calculator

Parameters

NameTypeRequiredDescription
systemVoltagenumberYesNominal line-to-line system voltage at the fault location.
voltageFactorselectNoIEC 60909 voltage factor: 1.00 (worst-case tolerance), 1.05 (LV max), 1.10 (HV max).
transformerRnumberNoOptional. Transformer equivalent resistance referred to the fault side.
transformerXnumberNoOptional. Transformer equivalent reactance referred to the fault side.
lineRnumber

MCP integration

Add this tool to your Model Context Protocol server so AI agents can list and call it.

Server configuration

Add this block to your MCP client configuration:

mcp.json
{
  "mcpServers": {
    "elysiatools-short-circuit-current-calculator": {
      "name": "short-circuit-current-calculator",
      "description": "Estimate the three-phase symmetric short-circuit current using the IEC 60909 far-from-generator method: I\"_k = c·U_n/(√3·|Z|) and i_p = κ·√2·I\"_k with κ = 1.02 + 0.98·e^(−3R/X). Source impedance is the series sum of transformer and line R/X.",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=short-circuit-current-calculator",
      "command": "",
      "args": [],
      "env": {},
      "isActive": true,
      "type": "sse"
    }
  }
}

List available tools

After connecting to the SSE endpoint, list the exposed tools:

tools/list
{
  "jsonrpc": "2.0",
  "id": 1,
  "method": "tools/list"
}

Call this tool

Invoke the tool by its id, passing arguments built from its parameters:

tools/call
{
  "jsonrpc": "2.0",
  "id": 2,
  "method": "tools/call",
  "params": {
    "name": "short-circuit-current-calculator",
    "arguments": {
  "systemVoltage": 400,
  "voltageFactor": "1.05",
  "transformerR": 0.005,
  "transformerX": 0.015,
  "lineR": 0.01,
  "lineX": 0.005,
  "decimalPlaces": 4
}
  }
}
Chain multiple tools in one session with a comma-separated toolId list, e.g. /mcp/sse?toolId=png-to-webp,jpg-to-webp,gif-to-webp (max 20).
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© 2026 Elysia Tools. Developer documentation.

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No
Optional. Cable/line resistance from transformer to the fault point.
lineXnumberNoOptional. Cable/line reactance from transformer to the fault point.
decimalPlacesnumberNo—

Response format

JSON result

JSON
{
  "key": {...},
  "metadata": {
    "key": "value"
  },
  "error": "Error message (optional)",
  "message": "Notification message (optional)"
}

Questions or issues? Contact [email protected]