What is The Mathematics of Generator Sizing?
Mathematical Foundation
Laws & Principles
- Staggered Motor Starts: The mathematical trick to sizing a generator is assuming you will never turn on the A/C, the furnace, the well pump, and the refrigerator in the exact same millisecond. Therefore, the generator only needs enough overhead to handle the single heaviest motor starting up.
- The 'Surge' Concept: A standard 1/2 HP well pump might only require 1000 Watts to run continuously throwing water. However, getting the heavy metal impeller spinning from a dead stop against water pressure requires ~3000 Watts for a split second.
- Standby vs Portable Ratings: Portable generators are usually marketed by their Surge capacity on the box (e.g., 'A 10,000 Watt Generator' only outputs 8,000 continuous watts). Permanent standby generators (Generac, Kohler) are usually rated by their true continuous kW.
Step-by-Step Example Walkthrough
" During a blackout, a homeowner wants to power: A Refrigerator (700W Run / 2100W Surge), a Well Pump (1000W Run / 3000W Surge), a Sump Pump (1050W Run / 2150W Surge), and 500W of lighting. "
- 1. Sum running watts: 700 + 1000 + 1050 + 500 = 3,250 Total Run Watts.
- 2. Identify surges independently: Fridge (+1400W), Well (+2000W), Sump (+1100W).
- 3. Find the Highest Single Surge: The Well Pump at +2000W.
- 4. Apply Load Math: Total Run (3,250) + Highest Surge (2,000) = 5,250 Watts.
- 5. Convert to kW: 5,250 / 1000 = 5.25 kW Minimum Rating.