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-correctionParameters
| 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]