Math & Numbers

Power Factor Correction Calculator

Size the shunt capacitor needed to raise the power factor: C = P·(tanφ₁ − tanφ₂)/(2π·f·U²). Returns compensated reactive power Qc, capacitive reactance Xc, capacitor current Ic, and the required capacitance in F/μF.

json· JSON resultOpen tool

Quick start

Call this tool from your code in three languages.

cURL

curl -X POST 'https://api.elysiatools.com/en/api/tools/power-factor-correction' \
  -H 'Content-Type: application/json' \
  -d '{"P":5000,"cosphi1":0.7,"cosphi2":0.95,"f":50,"U":400,"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/power-factor-correction

Parameters

Name	Type	Required	Description
P	number	Yes	Real (active) power drawn by the load.
cosphi1	number	Yes	Initial power factor (lagging). 0 < cosφ₁ < 1.
cosphi2	number	Yes	Target power factor (lagging). Must be > cosφ₁.
f	number	Yes	AC line frequency (50 or 60 Hz typical).
U	number	Yes	Voltage across the capacitor (line-to-line for a 3-phase bank, or phase voltage for single-phase).

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-power-factor-correction": {
      "name": "power-factor-correction",
      "description": "Size the shunt capacitor needed to raise the power factor: C = P·(tanφ₁ − tanφ₂)/(2π·f·U²). Returns compensated reactive power Qc, capacitive reactance Xc, capacitor current Ic, and the required capacitance in F/μF.",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=power-factor-correction",
      "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": "power-factor-correction",
    "arguments": {
  "P": 5000,
  "cosphi1": 0.7,
  "cosphi2": 0.95,
  "f": 50,
  "U": 400,
  "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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