Introduction #

Understanding energy cost calculations is essential for managing industrial facility expenses. While formulas are straightforward, applying them to real-world scenarios with multiple equipment, varying rates, and complex billing structures requires practical examples. This guide provides detailed, step-by-step energy cost calculations for various industrial applications, from simple single-equipment scenarios to complex multi-facility operations.

Example 1: Single Equipment Energy Cost #

Scenario #

Industrial motor:

  • Power: 50 HP = 37.3 kW
  • Operating hours: 8 hours/day, 5 days/week
  • Electricity rate: $0.12/kWh

Calculate monthly and annual energy costs.

Step 1: Calculate Daily Energy Consumption #

Power: 37.3 kW
Hours per day: 8 hours
Daily energy = 37.3 × 8 = 298.4 kWh

Step 2: Calculate Monthly Energy Consumption #

Daily energy: 298.4 kWh
Days per month: 22 (5 days/week × 4.4 weeks)
Monthly energy = 298.4 × 22 = 6,564.8 kWh

Step 3: Calculate Monthly Cost #

Monthly energy: 6,564.8 kWh
Rate: $0.12/kWh
Monthly cost = 6,564.8 × $0.12 = $787.78

Step 4: Calculate Annual Cost #

Monthly cost: $787.78
Months: 12
Annual cost = $787.78 × 12 = $9,453.36

Results Summary #

Parameter Value
Daily Energy 298.4 kWh
Monthly Energy 6,564.8 kWh
Monthly Cost $787.78
Annual Energy 78,777.6 kWh
Annual Cost $9,453.36

Example 2: Multiple Equipment Facility #

Scenario #

Manufacturing facility with:

  • Motors: 200 kW, 8 hours/day, 5 days/week
  • Lighting: 50 kW, 12 hours/day, 6 days/week
  • HVAC: 100 kW, 10 hours/day, 5 days/week
  • Office equipment: 20 kW, 8 hours/day, 5 days/week

Electricity rate: $0.10/kWh

Calculate total monthly and annual costs.

Step 1: Calculate Energy for Each Equipment #

Motors:

Power: 200 kW
Hours: 8 hours/day × 22 days/month = 176 hours/month
Monthly energy = 200 × 176 = 35,200 kWh

Lighting:

Power: 50 kW
Hours: 12 hours/day × 26 days/month = 312 hours/month
Monthly energy = 50 × 312 = 15,600 kWh

HVAC:

Power: 100 kW
Hours: 10 hours/day × 22 days/month = 220 hours/month
Monthly energy = 100 × 220 = 22,000 kWh

Office Equipment:

Power: 20 kW
Hours: 8 hours/day × 22 days/month = 176 hours/month
Monthly energy = 20 × 176 = 3,520 kWh

Step 2: Calculate Total Monthly Energy #

Total = 35,200 + 15,600 + 22,000 + 3,520 = 76,320 kWh

Step 3: Calculate Monthly Cost #

Monthly energy: 76,320 kWh
Rate: $0.10/kWh
Monthly cost = 76,320 × $0.10 = $7,632

Step 4: Calculate Annual Cost #

Monthly cost: $7,632
Annual cost = $7,632 × 12 = $91,584

Results Summary #

Equipment Monthly Energy (kWh) Monthly Cost ($)
Motors 35,200 $3,520
Lighting 15,600 $1,560
HVAC 22,000 $2,200
Office 3,520 $352
Total 76,320 $7,632

Example 3: Time-of-Use Rates #

Scenario #

Facility with time-of-use rates:

  • Peak hours (8 AM - 6 PM): $0.15/kWh
  • Off-peak hours (6 PM - 8 AM): $0.08/kWh
  • Weekend: $0.08/kWh (all hours)

Load: 100 kW, operating 16 hours/day, 5 days/week

Calculate monthly cost.

Step 1: Calculate Operating Hours #

Weekday Peak:

Peak hours: 8 AM - 6 PM = 10 hours
Days: 5 days/week × 4.4 weeks = 22 days
Peak hours/month = 10 × 22 = 220 hours

Weekday Off-Peak:

Total weekday: 16 hours
Off-peak: 16 - 10 = 6 hours
Off-peak hours/month = 6 × 22 = 132 hours

Weekend:

Weekend hours: 16 hours/day
Weekend days: 2 days/week × 4.4 weeks = 8.8 days
Weekend hours/month = 16 × 8.8 = 140.8 hours

Step 2: Calculate Energy by Rate #

Peak Energy:

100 kW × 220 hours = 22,000 kWh

Off-Peak Energy:

100 kW × (132 + 140.8) = 27,280 kWh

Step 3: Calculate Costs #

Peak Cost:

22,000 kWh × $0.15 = $3,300

Off-Peak Cost:

27,280 kWh × $0.08 = $2,182.40

Total Monthly Cost:

$3,300 + $2,182.40 = $5,482.40

Comparison with Flat Rate #

Flat Rate ($0.10/kWh):

Total energy: 22,000 + 27,280 = 49,280 kWh
Cost: 49,280 × $0.10 = $4,928

Savings with TOU Optimization:

Current: $5,482.40
Optimized (shift to off-peak): $4,928
Potential savings: $554.40/month

Example 4: Demand Charges #

Scenario #

Facility with demand charges:

  • Energy: $0.10/kWh
  • Demand: $15/kW per month (based on peak demand)

Load profile:

  • Average: 500 kW
  • Peak: 750 kW (2 hours/month)

Calculate monthly cost.

Step 1: Calculate Energy Cost #

Average load: 500 kW
Hours: 730 hours/month (24/7 operation)
Energy: 500 × 730 = 365,000 kWh
Energy cost: 365,000 × $0.10 = $36,500

Step 2: Calculate Demand Charge #

Peak demand: 750 kW
Demand charge: $15/kW
Demand cost: 750 × $15 = $11,250

Step 3: Calculate Total Cost #

Energy cost: $36,500
Demand cost: $11,250
Total: $47,750

Step 4: Calculate Cost Breakdown #

Energy portion: $36,500 ÷ $47,750 = 76.4%
Demand portion: $11,250 ÷ $47,750 = 23.6%

Impact of Peak Reduction #

Reduce Peak to 600 kW:

New demand cost: 600 × $15 = $9,000
Savings: $11,250 - $9,000 = $2,250/month

Example 5: Energy Efficiency Savings #

Scenario #

Facility considering LED lighting upgrade:

  • Current: 100 × 40W fluorescent = 4,000W
  • Proposed: 100 × 15W LED = 1,500W
  • Operating: 12 hours/day, 6 days/week
  • Rate: $0.12/kWh

Calculate savings.

Step 1: Calculate Current Energy #

Power: 4,000W = 4 kW
Hours: 12 hours/day × 26 days/month = 312 hours/month
Monthly energy: 4 × 312 = 1,248 kWh
Monthly cost: 1,248 × $0.12 = $149.76

Step 2: Calculate New Energy #

Power: 1,500W = 1.5 kW
Hours: 312 hours/month
Monthly energy: 1.5 × 312 = 468 kWh
Monthly cost: 468 × $0.12 = $56.16

Step 3: Calculate Savings #

Monthly savings: $149.76 - $56.16 = $93.60
Annual savings: $93.60 × 12 = $1,123.20

Step 4: Calculate ROI #

Installation cost: $2,000
Annual savings: $1,123.20
Payback: $2,000 ÷ $1,123.20 = 1.78 years
ROI: ($1,123.20 - $2,000) ÷ $2,000 = -43.8% (first year)
After payback: $1,123.20/year ongoing savings

Example 6: Comprehensive Facility Analysis #

Scenario #

Manufacturing facility:

  • Production equipment: 300 kW, 10 hours/day, 5 days/week
  • HVAC: 150 kW, 12 hours/day, 5 days/week
  • Lighting: 80 kW, 14 hours/day, 6 days/week
  • Office: 30 kW, 8 hours/day, 5 days/week

Rates:

  • Energy: $0.11/kWh
  • Demand: $18/kW (peak: 500 kW)
  • Power factor penalty: $300/month (PF < 0.90)

Calculate total monthly cost.

Step 1: Calculate Energy Consumption #

Production:

300 kW × (10 × 22) = 66,000 kWh

HVAC:

150 kW × (12 × 22) = 39,600 kWh

Lighting:

80 kW × (14 × 26) = 29,120 kWh

Office:

30 kW × (8 × 22) = 5,280 kWh

Total Energy:

66,000 + 39,600 + 29,120 + 5,280 = 140,000 kWh

Step 2: Calculate Energy Cost #

140,000 kWh × $0.11 = $15,400

Step 3: Calculate Demand Charge #

Peak demand: 500 kW
Demand charge: $18/kW
Demand cost: 500 × $18 = $9,000

Step 4: Calculate Total Cost #

Energy: $15,400
Demand: $9,000
PF penalty: $300
Total: $24,700/month

Step 5: Cost Breakdown #

Component Cost Percentage
Energy $15,400 62.3%
Demand $9,000 36.4%
PF Penalty $300 1.2%
Total $24,700 100%

Frequently Asked Questions #

Q1: How do I calculate energy consumption? #

A:

Energy (kWh) = Power (kW) × Time (hours)

Q2: How do I calculate energy cost? #

A:

Cost ($) = Energy (kWh) × Rate ($/kWh)

Q3: What's the difference between energy and demand charges? #

A:

  • Energy: Based on total consumption (kWh)
  • Demand: Based on peak power (kW)

Q4: How do I reduce demand charges? #

A:

  • Reduce peak demand
  • Shift loads to off-peak
  • Use energy storage
  • Stagger equipment operation

Q5: What's the impact of power factor on costs? #

A: Low power factor:

  • Increases kVA demand
  • Higher demand charges
  • Utility penalties
  • Reduced system capacity

Q6: How do I calculate savings from efficiency improvements? #

A:

  1. Calculate current energy and cost
  2. Calculate new energy and cost
  3. Difference = savings
  4. Compare with implementation cost

Conclusion #

These examples demonstrate practical energy cost calculations for industrial facilities. Key principles:

  • Calculate accurately (power × time = energy)
  • Account for all costs (energy, demand, penalties)
  • Consider rate structures (flat, TOU, demand)
  • Evaluate savings opportunities (efficiency, optimization)
  • Monitor continuously (track consumption, costs)

Use the Energy Estimator to quickly calculate energy costs, but always verify with detailed calculations for accurate budgeting and planning.