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Math & Numbers

Inverse-Time Overcurrent Relay Setting (IEC 60255-151)

Compute the operating time of an inverse-time overcurrent relay per IEC 60255-151: t = TMS·(k/((I/I_s)^α − 1)). Supports Standard Inverse (SI), Very Inverse (VI), Extremely Inverse (EI) and Long-Time Inverse (LTI) curves, and samples a T-I characteristic.

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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/relay-setting-calculator' \
  -H 'Content-Type: application/json' \
  -d '{"curveType":"SI","pickupCurrent":100,"timeMultiplier":0.2,"faultCurrent":500,"curvePoints":21,"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/relay-setting-calculator

Parameters

NameTypeRequiredDescription
curveTypeselectNo—
pickupCurrentnumberYesRelay pickup (setting) current, primary side.
timeMultipliernumberYesTime multiplier setting, typical 0.05 – 1.0.
faultCurrentnumberYesApplied fault current. Must exceed pickup (I > I_s) for the relay to operate.
curvePointsnumberNo

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-relay-setting-calculator": {
      "name": "relay-setting-calculator",
      "description": "Compute the operating time of an inverse-time overcurrent relay per IEC 60255-151: t = TMS·(k/((I/I_s)^α − 1)). Supports Standard Inverse (SI), Very Inverse (VI), Extremely Inverse (EI) and Long-Time Inverse (LTI) curves, and samples a T-I characteristic.",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=relay-setting-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": "relay-setting-calculator",
    "arguments": {
  "curveType": "SI",
  "pickupCurrent": 100,
  "timeMultiplier": 0.2,
  "faultCurrent": 500,
  "curvePoints": 21,
  "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).

Questions or issues? Contact [email protected]

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Number of points sampled on the T-I curve (11–41).
decimalPlacesnumberNo—

Response format

JSON result

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