Load Analysis
The MEL gives you a list of loads. Load analysis turns that list into the numbers that size every transformer, every feeder, every breaker. Two loads matter most: the one if everything ran at once (connected), and the one that actually happens (demand).
Load Type Definitions — One Place
NEC and engineering practice define many overlapping load terms. Here they are, all in one table.
| Term | Definition | Source |
|---|---|---|
| Continuous load | Maximum current expected to continue for 3 hours or more | NEC Article 100 (definitions) |
| Non-continuous load | Loads not classified as continuous (cyclic, intermittent, brief peaks) | Implicit from NEC 100 |
| Connected load | Sum of all nameplate ratings, treating every load as if running at 100% | Engineering practice |
| Demand load | Maximum kW (or kVA) the system actually carries at peak — connected × demand factor | NEC 220, IEEE 141 |
| Demand factor (Df) | Max demand / total connected load. Always ≤ 1.0. NEC 220 publishes specific values per occupancy. | NEC 220 |
| Diversity factor (Dv) | Σ individual peaks / system peak. Always ≥ 1.0. Applied across multiple feeders. | IEEE 141 |
| Coincidence factor (Cf) | 1 / Dv. Inverse of diversity. Common in residential utility load research. | IEEE 141 |
| Load factor (Lf) | Average demand / peak demand over a period. Indicates how "flat" usage is. | Utility tariffs |
| Coincident load | Loads that DO peak together (heater + lighting both peak in winter evening) | Engineering judgment |
| Noncoincident load | Loads that CANNOT peak together (heating vs cooling, NEC 220.60) | NEC 220.60 |
| Inrush current | Brief peak (typically 6-12× FLA) when energizing motors or transformers. Lasts less than 1 second. | Motor/transformer characteristics |
| Locked-rotor current (LRA) | Current a motor draws if rotor cannot turn. Typically 6-8× FLA. Sustained until protection trips. | NEC 430.7 |
| Starting current | Current during motor acceleration. Decreases as motor reaches rated speed. | Motor characteristics |
| Cyclic load | Load that turns on/off in a regular pattern (elevators, welders, AC compressors) | Engineering judgment |
| Intermittent load | Brief operations followed by rest periods. NEMA defines duty cycles by ratio. | NEMA MG 1 |
| Standby load | Load that's normally OFF but ready to operate (backup pumps, redundant equipment) | Engineering practice |
| Critical load | Load that must remain energized at all times (IT, life safety, process) | Engineering judgment |
| Sheddable load | Load that can be dropped without significant impact (lighting, comfort HVAC) | Demand response (§27) |
| Linear load | Load that draws current proportional to voltage (resistive heaters, incandescent) | Power quality (§15) |
| Nonlinear load | Load that draws current in non-sinusoidal pulses (rectifiers, VFDs, LEDs, servers). Generates harmonics. | Power quality (§15) |
Connected vs Demand Load
Connected load is what you'd see if every load nameplate ran at 100% simultaneously. Demand load is what the system actually pulls at peak — after accounting for the fact that not everything runs, not everything runs at full output, and not everything peaks at the same moment.
The Two Numbers Side by Side
| Connected Load | Demand Load | |
|---|---|---|
| Definition | Sum of every load's nameplate, as if all ran simultaneously at 100% | Maximum kW (or kVA) the system actually sees at peak |
| Always larger by… | 1.0× (reference) | 0.4× to 1.0× (depends on diversity, demand factor) |
| Used for | Equipment room space estimate · transformer thermal limit ceiling · fault current · MCC bus design | Feeder ampacity · service entrance · transformer kVA · utility metering · generator sizing |
| NEC reference | — | Article 220 — demand factors per occupancy & load type |
| Atlas DC1 | 2.5 MW IT + 2.5 MW mech + 0.3 MW BOP ≈ 5.3 MW | 2.5 MW IT (designed at 100%) + ~1.8 MW mech (at peak) + 0.2 MW BOP ≈ 4.5 MW |
Demand Factor vs Diversity Factor
Both reduce a number; they reduce different numbers and they live in different parts of the calculation. Distinguishing them is the first thing the PE exam tests in load analysis.
| Factor | Formula | Typical range | Where applied |
|---|---|---|---|
| Demand factor | Df = max demand / connected load | 0.4 – 1.0 | One single load category (e.g., the lighting demand factor for a warehouse). NEC 220 publishes specific values. |
| Diversity factor | Dv = Σ individual peaks / system peak | 1.0 – 3.0+ | Across multiple feeders/buildings — accounts for the fact that different consumers peak at different times. |
| Coincidence factor | Cf = 1 / Dv | 0.3 – 1.0 | Inverse of diversity — sometimes published this way (especially in residential service/utility work). |
| Load factor | Lf = average demand / peak demand (over a period) | 0.3 – 1.0 | Energy/revenue planning — not used directly for sizing, but tells you how "flat" or "peaky" your usage is. Atlas DC1: ≈ 0.95 (very flat). |
NEC 220 Demand Factors — by Load Category
NEC Article 220 publishes the demand factors you must use for code-compliant sizing of feeders and services. Below are the most-used categories. Use these for the standard method (220.40).
| Load type | Threshold / Tier | Demand factor | NEC reference |
|---|---|---|---|
| General lighting (dwelling) | First 3,000 VA | 100 % | Table 220.45 |
| 3,001 – 120,000 VA | 35 % | ||
| Above 120,000 VA | 25 % | ||
| General lighting (warehouse) | First 12,500 VA / remainder | 100 % / 50 % | Table 220.45 |
| General lighting (hospitals) | First 50,000 / remainder | 40 % / 20 % | Table 220.45 |
| Receptacles (non-dwelling) | First 10 kVA | 100 % | 220.44 |
| Remainder | 50 % | ||
| Cooking equipment (commercial) | 1–6 units / 6+ units | 100 % / 65 % / down to 50% | Table 220.56 |
| Range/oven (dwelling) | 1 unit ≤ 12 kW | 8 kW (per Table 220.55 — Column C) | Table 220.55 |
| Dryers (dwelling) | 1–4 / 5+ | 100 % / dropping per table | Table 220.54 |
| Motor feeder (mixed motor) | Largest motor | 125 % | 430.24 |
| All other motors | 100 % | ||
| HVAC (largest of) | Heating OR cooling — pick the larger | 100 % (largest noncoincident) | 220.60 |
Continuous vs Non-Continuous — The 3-Hour Rule
NEC 100 defines a continuous load as one whose maximum current is expected to continue for 3 hours or more. This trips a different multiplier than demand factor — the 125% rule for sizing wire and breakers.
What Counts as Continuous?
- Office & commercial lighting (open all day)
- Retail floor lighting
- Outdoor / street lighting
- Server / IT loads (always on)
- Refrigeration compressors (continuous duty)
- Process equipment running production shifts
- Battery chargers (sustained float)
- Heaters running through cold weather
- EV charging (often hours of continuous draw)
- Receptacles (cycle on/off through the day)
- Welders (intermittent, duty-cycle sized)
- Elevators (cyclic motor loads)
- Cooking ranges (peaks < 3 hr)
- Most HVAC (cycling on thermostat)
- Snow melt, water heaters (typically cyclic)
- Garage door openers, lift gates
- Equipment with manufacturer-specified duty cycle
Motor Loads — Why They Have Their Own Rules
Motors get their own NEC article (430) because they violate two assumptions: (1) their starting current is 6–8× FLA for a few seconds, which would trip a normal-sized breaker; (2) they are typically continuous duty in industrial settings. The 125% multiplier appears, but for a different reason.
| Motor calc | Single motor | Multiple motor feeder | NEC reference |
|---|---|---|---|
| Conductor ampacity (MCA) | 1.25 × FLC of motor | 1.25 × largest motor FLC + 1.00 × all other motor FLCs + other loads | 430.22 / 430.24 |
| Branch-circuit OCPD (MOCP) | Per Table 430.52 (e.g., inverse-time CB ≤ 250% × FLC) | Largest motor's MOCP + sum of other motor FLCs + other loads | 430.52 / 430.62 |
| Overload protection | Separate device (in starter/MCC) at 115–125% of FLA, NOT in branch breaker | Each motor has its own overload | 430.32 |
| FLA source | NEC Table 430.247–250 (FLC), NOT nameplate | Same — table values | 430.6(A) |
Worked Example 1 — Atlas DC1 Load Study (Side A)
Build the load study for one side of Atlas DC1. This sizes the 480V SWGR-A bus, the TX-A transformer, GEN-A, and the feeder from the utility to the building.
Side A loads (per the MEL)
| Load | Connected (kW) | Cont.? | Demand factor | Demand kW | Multiplier | Sized kW |
|---|---|---|---|---|---|---|
| UPS-A1+A2 input (1.25 MW IT, 96% UPS η, 0.95 PF) | 1,302 kW | Yes | 1.0 | 1,302 kW | 1.25 (continuous) | 1,628 kW |
| CH-1 + CH-2 chillers (450 HP × 2) | 674 | Yes | 1.0 (peak) | 674 | 1.25 largest = 1.0625 ave | 716 |
| CWP-1, CWP-2 (75 HP × 2) | 112 | Yes | 1.0 | 112 | 1.0 (other motors) | 112 |
| CRAH fans (50 HP × 4) | 149 | Yes | 0.95 (modulating) | 142 | 1.0 | 142 |
| Lighting (mech + IT halls) | 22 | Yes | 1.0 | 22 | 1.25 | 28 |
| Receptacles & misc | 15 | No | 0.5 (NEC 220.44 above 10kVA) | 9 | 1.0 | 9 |
| TOTAL — Side A | 2,318 kW | — | — | 2,292 kW | — | 2,708 kW (sized) → 2,851 kVA at PF 0.95 |
Step-by-step
-
Convert IT load to electrical (input) kW. 1.25 MW IT (mechanical/computational output equivalent) needs to account for UPS efficiency (~96%) and PSU efficiency (~94%) — net ~10% loss between utility and useful load.UPS input kW = 1250 / 0.96 / 0.94 ≈ 1,386 kW. But for sizing the upstream we use the UPS rating itself: 2 × 1250 kVA × 0.95 PF = 2,375 kVA × 0.95 = ~2,256 kW. Pick the larger — UPS rating governs.
-
Apply 125% to continuous loads. Per NEC 210.20 / 215.3, the OCPD must be sized to 125% of continuous load.UPS feeders: 1,316 × 1.25 = 1,645 kW for OCPD sizing. Lighting: 22 × 1.25 = 28 kW.
-
Apply NEC 430.24 to motor feeder portion. Largest motor (CH-1 at 337 kW) gets 125%, all others at 100%.Motor feeder: (337 × 1.25) + 337 + 56 + 56 + 142 = 421 + 337 + 56 + 56 + 142 = 1,012 kW for motor portion sizing.
-
Sum to size the 480V SWGR — A bus + TX-A.Total demand at 480V = ~2,652 kW. Divide by PF (0.95 average) = 2,791 kVA. TX-A spec'd at 2,500 kVA — close to the line. Real designs would either oversize TX-A to 3,000 kVA or accept slight overload at full load (only happens during commissioning + 100% IT loading + max mech).
-
Cross-check: 480V FLA at the SWGR.FLA = (2,791 × 1000) / (√3 × 480) = 3,357 A — fits within the 4,000 A bus. ✓
-
Generator sizing. GEN-A must carry 100% of Side A demand on utility loss. 2,791 kVA × ~1.10 starting margin (motor inrush) → ~3,070 kVA.GEN-A is spec'd at 2,500 kW × ~0.85 PF = 2,941 kVA — borderline. Real design would step up to 3,000 kW (3,750 kVA) to provide motor-starting margin. Atlas DC1 currently uses load-shedding logic to drop non-critical loads on genset operation.
Worked Example 2 — 50-Unit Apartment Building (NEC 220 Standard)
Apartment building service sizing is the textbook NEC 220 problem. Same principles, different demand factors, simpler geometry. Watch how the stacked diversity reduces the connected load to a fraction of itself.
Per-unit connected load (NEC 220.42 + 220.55)
| Item | Value | Notes |
|---|---|---|
| General lighting + receptacles | 1,200 ft² × 3 VA/ft² = 3,600 VA | NEC 220.41 |
| 2 small-appliance circuits | 2 × 1,500 = 3,000 VA | NEC 220.52(A) |
| Laundry circuit | 1,500 VA | NEC 220.52(B) |
| Range (12 kW nameplate) | 8 kVA (Table 220.55, Col C) | NEC 220.55 |
| Dryer (5 kW nameplate) | 5 kVA | NEC 220.54 |
| Per-unit connected: | 21,100 VA | — |
Step-by-step (multi-family demand)
-
Total connected lighting + small appliance + laundry across 50 units(3,600 + 3,000 + 1,500) × 50 = 405,000 VA
-
Apply NEC 220.45 demand factors: 100% of first 3,000 + 35% of next 117,000 + 25% of remainder.3,000 + (117,000 × 0.35) + (285,000 × 0.25) = 3,000 + 40,950 + 71,250 = 115,200 VA
-
Range demand for 50 ranges (Table 220.55, Col C, 50+ units):Per Table 220.55 — for 50 units of 8 kW each: total demand = 90 kW + (0.75 × 50) = 90 + 37.5 = 127.5 kW = 127,500 VA
-
Dryer demand for 50 dryers (Table 220.54):First 4 at 100% = 4 × 5 = 20 kW. Next 8 at 85% = 8 × 5 × 0.85 = 34 kW. Next 8 at 75% = 30 kW. Continue per table → roughly 110,000 VA total dryer demand.
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Sum total demand load:115,200 + 127,500 + 110,000 = 352,700 VA = 352.7 kVA
-
Convert to amps at 208V 3φ:I = (352,700) / (√3 × 208) = 352,700 / 360 = 980 AService entrance sized at 1200 A, 208Y/120V 3φ with appropriate margin.
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Compare to connected: 50 units × 21,100 VA = 1,055,000 VA = 1,055 kVA connected. Demand is 33%. Two-thirds of the apparent load disappears via NEC 220 demand factors — the diversity of human behavior across 50 households.
Drill — Quick Self-Check
Work each problem mentally; reveal to check. Goal: reflex, not deliberation.
An office lighting circuit draws 12 A continuously. What's the minimum breaker size?
A commercial building has 30 kVA of receptacles. What's the demand load?
Motors on one feeder: 50 HP (FLC 65A), 25 HP (FLC 34A), 10 HP (FLC 14A). What's the minimum feeder ampacity?
A panel has 50 kW of heating + 30 kW of cooling. NEC 220.60 demand?
Atlas DC1 Side A demand was 2,708 kW after sizing multipliers. At PF 0.95 and 480V 3φ, what's the FLA?
If You See THIS, Think THAT
| If you see… | Think / use… |
|---|---|
| "Connected load" in a problem | Sum of all nameplates. NO demand factor. Use for fault analysis, equipment-room ceiling, transformer thermal limit. |
| "Demand load" | What the system actually carries at peak. Use NEC 220 factors. Use for feeder, service, and transformer sizing. |
| Load operates ≥ 3 hours at max | Continuous → apply 125% to wire AND breaker (NEC 210.19, 210.20). |
| "Sum of connected load" + "demand factor" | That demand factor is per NEC 220 Tables. Multiply category-by-category, not in bulk. |
| Multiple motors on a feeder | NEC 430.24: 125% of largest motor FLC + 100% of all other motor FLCs + other loads. Largest motor only gets the bonus. |
| Heating AND cooling on the same panel | NEC 220.60: only count the larger one (noncoincident). They can't run together. |
| "Diversity factor" mentioned | Greater than 1 — applied to peaks across multiple feeders. Don't confuse with demand factor. |
| Receptacles in commercial | NEC 220.44: 100% of first 10 kVA, 50% of remainder. |
| 50+ dryers in apartment building | Table 220.54 — demand factor drops below 50%; very significant savings. |
| "Service factor" of 1.15 on motor | Allows brief overload up to 115% — affects overload protection setting (430.32), NOT branch circuit sizing. |
| "Largest motor" called out in feeder problem | NEC 430.24 applies. Tag it; the 125% bonus belongs to it. |
| "Load factor" mentioned | Energy-efficiency / utility metric. NOT a sizing factor. Don't apply to feeder calc. |