Equivalent Forced Outage Rate Calculation

Equivalent Forced Outage Rate (EFOR) Calculator body { font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Helvetica, Arial, sans-serif; line-height: 1.6; color: #333; max-width: 1200px; margin: 0 auto; padding: 20px; background-color: #f4f6f8; } .calculator-container { background: #ffffff; padding: 30px; border-radius: 12px; box-shadow: 0 4px 20px rgba(0,0,0,0.1); max-width: 600px; margin: 0 auto 40px auto; border-top: 5px solid #2c3e50; } .calculator-title { font-size: 24px; font-weight: 700; color: #2c3e50; margin-bottom: 25px; text-align: center; text-transform: uppercase; letter-spacing: 1px; } .input-group { margin-bottom: 20px; } .input-label { display: block; font-weight: 600; margin-bottom: 8px; color: #555; font-size: 0.95rem; } .input-field { width: 100%; padding: 12px 15px; border: 1px solid #ddd; border-radius: 6px; font-size: 16px; transition: border-color 0.3s; box-sizing: border-box; } .input-field:focus { border-color: #3498db; outline: none; box-shadow: 0 0 0 3px rgba(52, 152, 219, 0.1); } .input-help { font-size: 0.8rem; color: #888; margin-top: 4px; } .calc-btn { width: 100%; padding: 14px; background-color: #2c3e50; color: white; border: none; border-radius: 6px; font-size: 16px; font-weight: 600; cursor: pointer; transition: background-color 0.3s; margin-top: 10px; } .calc-btn:hover { background-color: #34495e; } .results-box { background-color: #f8f9fa; border: 1px solid #e9ecef; border-radius: 8px; padding: 20px; margin-top: 25px; display: none; } .result-row { display: flex; justify-content: space-between; align-items: center; margin-bottom: 12px; padding-bottom: 12px; border-bottom: 1px solid #e9ecef; } .result-row:last-child { border-bottom: none; margin-bottom: 0; padding-bottom: 0; } .result-label { font-weight: 600; color: #555; } .result-value { font-weight: 700; font-size: 1.1rem; color: #2c3e50; } .main-result { font-size: 1.5rem; color: #e74c3c; } .content-section { background: white; padding: 40px; border-radius: 12px; box-shadow: 0 2px 10px rgba(0,0,0,0.05); margin-bottom: 40px; } h2 { color: #2c3e50; border-bottom: 2px solid #ecf0f1; padding-bottom: 10px; margin-top: 30px; } h3 { color: #34495e; margin-top: 25px; } p { margin-bottom: 15px; color: #4a4a4a; } ul { margin-bottom: 20px; padding-left: 20px; } li { margin-bottom: 8px; } .formula-box { background-color: #f1f8ff; padding: 15px; border-left: 4px solid #3498db; font-family: "Courier New", monospace; margin: 20px 0; overflow-x: auto; } table { width: 100%; border-collapse: collapse; margin: 20px 0; } th, td { border: 1px solid #ddd; padding: 12px; text-align: left; } th { background-color: #f2f2f2; color: #333; }
EFOR Calculator
Total hours the unit was fully offline due to forced events.
Total hours the unit was electrically connected to the system.
Hours the unit operated at reduced capacity due to equipment failure.
Percentage of capacity lost during the derated hours.
Eq. Forced Derated Hours (EFDH): 0.00 Hours
Total Forced Outage Time (Num): 0.00 Hours
Total Operating Time (Denom): 0.00 Hours
EFOR: 0.00%

Equivalent Forced Outage Rate (EFOR) Guide

The Equivalent Forced Outage Rate (EFOR) is a critical performance metric in the power generation industry. Unlike the standard Forced Outage Rate (FOR), which only accounts for complete shutdowns, EFOR incorporates partial outages (deratings) to provide a more accurate representation of a generating unit's unreliability.

Why Use EFOR?

In power plant operations, equipment failures do not always result in a complete trip or shutdown. Often, a component failure (such as a feedwater heater leak or a coal mill failure) forces the unit to reduce its output while remaining online. These are known as "deratings."

If a 500 MW unit is forced to run at 250 MW for 24 hours, it has not experienced a forced outage in terms of hours offline, but it has lost 50% of its generation capability. Standard FOR calculations would ignore this loss. EFOR captures this by converting the partial loss into "equivalent" full outage hours.

The EFOR Formula

Based on standards such as IEEE 762 and NERC GADS reporting, the simplified calculation for EFOR used in this tool is:

EFOR = [ (FOH + EFDH) / (FOH + SH) ] × 100%

Where:

  • FOH (Forced Outage Hours): Time the unit was fully offline due to forced events.
  • SH (Service Hours): Time the unit was synchronized to the grid (includes derated time).
  • EFDH (Equivalent Forced Derated Hours): The equivalent full-load hours lost due to deratings.

Calculating EFDH

The Equivalent Forced Derated Hours is calculated by weighting the duration of the derating by the magnitude of the capacity loss:

EFDH = Forced Derated Hours × (Size of Reduction MW / Net Max Capacity MW)

Note: In our calculator, we simplify this by asking for the percentage of capacity lost directly.

Interpretation of Results

EFOR Range Reliability Status Implication
0% – 2% Excellent Base load unit with high reliability.
2% – 5% Average Typical for aging thermal plants.
5% – 10% Poor Requires maintenance investigation.
> 10% Critical Significant reliability issues affecting grid stability.

Example Calculation

Consider a gas turbine with the following operational data over a month:

  • Service Hours (SH): 600 hours
  • Forced Outage (FOH): 24 hours (one full day offline)
  • Derating: Ran for 48 hours at 50% capacity due to a sensor fault.

Step 1: Calculate EFDH
EFDH = 48 hours × 50% = 24 hours.

Step 2: Calculate Numerator
FOH + EFDH = 24 + 24 = 48 equivalent hours lost.

Step 3: Calculate Denominator
FOH + SH = 24 + 600 = 624 hours.

Step 4: Calculate EFOR
EFOR = (48 / 624) × 100 = 7.69%

This result indicates that nearly 8% of the unit's potential generation capability was lost due to forced events during the period.

function calculateEFOR() { // Get input values var foh = parseFloat(document.getElementById('fohInput').value); var sh = parseFloat(document.getElementById('shInput').value); var fdh = parseFloat(document.getElementById('fdhInput').value); var deratePerc = parseFloat(document.getElementById('deratePercentInput').value); // Validation: Treat empty or invalid inputs as 0 if (isNaN(foh)) foh = 0; if (isNaN(sh)) sh = 0; if (isNaN(fdh)) fdh = 0; if (isNaN(deratePerc)) deratePerc = 0; // Ensure non-negative numbers if (foh < 0) foh = 0; if (sh < 0) sh = 0; if (fdh < 0) fdh = 0; if (deratePerc 100) deratePerc = 100; // Step 1: Calculate Equivalent Forced Derated Hours (EFDH) // EFDH = FDH * (Percent Reduction / 100) var efdh = fdh * (deratePerc / 100); // Step 2: Calculate Numerator (Total Equivalent Forced Outage Time) var numerator = foh + efdh; // Step 3: Calculate Denominator (Total Period Hours involved in calculation) // Note: Standard NERC GADS EFOR denominator is FOH + SH var denominator = foh + sh; // Step 4: Calculate EFOR percentage var efor = 0; if (denominator > 0) { efor = (numerator / denominator) * 100; } else { efor = 0; } // Update UI document.getElementById('efdhResult').innerHTML = efdh.toFixed(2) + " Hours"; document.getElementById('numeratorResult').innerHTML = numerator.toFixed(2) + " Hours"; document.getElementById('denomResult').innerHTML = denominator.toFixed(2) + " Hours"; document.getElementById('eforResult').innerHTML = efor.toFixed(2) + "%"; // Show results div document.getElementById('result').style.display = 'block'; }

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