Comprehensive Guide to Industrial UPS Sizing & Selection
Sizing an Uninterruptible Power Supply (UPS) for an industrial facility is a critical task that goes far beyond just adding up the power ratings of the equipment. A properly sized UPS ensures the continuity of critical processes, prevents data loss, and protects sensitive machinery from power anomalies. An undersized system will fail during an outage, while an oversized system is a significant and unnecessary capital expense. This guide explores the key principles this calculator uses, which are aligned with industry standards like the IEEE Emerald Book (IEEE 1100).
1. UPS Sizing: kVA vs. kW
A UPS has two primary ratings, and both are critical:
- kVA (Apparent Power): This is the voltage-amperage rating. It defines the maximum current the UPS components (inverter, rectifier) can handle. It is primarily limited by the $I^2R$ (current squared times resistance) heating in the wiring and components.
- kW (Real Power): This is the to-work" rating. It defines the actual power the UPS can deliver to run the load. This is limited by the size of the DC battery bus and the power conversion capability of the inverter.
The ratio between them is the Power Factor (PF) of the UPS (e.g., $kW = kVA \times PF$). Modern industrial UPS systems are often designed with a high power factor (0.9 or 1.0) to maximize the available real power. You must size your UPS to meet *both* the total kVA and total kW requirements of your load.
2. Detailed Load Analysis: The Core of Sizing
You cannot simply add up the nameplate ratings of your equipment. A detailed load analysis is essential.
a. Load Types (kW, kVA, HP, Amps)
This calculator correctly converts all your different load types into the two common denominators: kW and kVA.
- kW / W: Loads like heaters or incandescent lights are resistive. Their kW = kVA (PF = 1.0).
- kVA / VA: This is the apparent power. We use the load's power factor to find the real power (kW). $kW = kVA \times PF$.
- HP (Horsepower): This is a measure of mechanical output power. We must convert it to electrical *input* power. $kW_{input} = (HP \times 0.746) / \text{Motor Efficiency}$. Then, $kVA = kW_{input} / \text{Motor PF}$.
- Amps (A): This is often the most reliable value. We convert it to kVA using the system voltage:
- 3-Phase: $kVA = (V_{L-L} \times A \times \sqrt{3}) / 1000$
- 1-Phase: $kVA = (V_{L-N} \times A) / 1000$
b. Inrush Current & Starting Factor
This is the most common reason for undersizing a UPS. Many loads draw a massive, temporary surge of current when they first turn on. The UPS inverter must be able to supply this inrush without collapsing.
- Motors (DOL): A Direct-On-Line motor can draw 6 to 8 times its normal current during startup (Locked Rotor Amps, LRA).
- Transformers: Can have an inrush of 10 to 12 times their rated current.
- Power Supplies (Servers, PLCs): Have an inrush to charge their internal capacitors.
The calculator addresses this by calculating the "Peak kVA" for each load and ensuring the UPS can handle the single largest peak in the system.
c. Crest Factor (Non-linear Loads)
Modern electronic loads like servers, computers, and even LED lighting use "switch-mode power supplies" (SMPS). They don't draw current in a smooth sine wave; instead, they "sip" current at the very peak of the voltage waveform. This creates a high Crest Factor (the ratio of peak current to RMS current). While the RMS current (what you pay for) might be low, the peak current can be 2 to 3 times higher. If the UPS inverter cannot supply this high peak current, its output voltage will distort, and the loads will fail. An industrial UPS must be sized to handle this.
3. Battery Sizing: The (Amp-Hour) Calculation
The battery bank is the "gas tank" of the UPS. Sizing it correctly is just as important as sizing the kVA. The calculation is:
$$ \text{Total Battery Ah} = \frac{P_{load,kW} \times T_{hours}}{V_{DC,bus} \times \eta_{inverter} \times \eta_{battery} \times DoD} $$
- $P_{load,kW}$ (Load kW): The total *real power* (kW) drawn by your loads, including future expansion. Batteries only supply real power.
- $T_{hours}$ (Backup Time): Your required runtime in hours (e.g., 30 min = 0.5 hours).
- $V_{DC,bus}$ (DC Bus Voltage): The nominal voltage of the UPS battery bank (e.g., 384V).
- $\eta_{inverter}$ (UPS Efficiency): The inverter is not 100% efficient. To deliver 100kW to the load, it might draw 108kW from the batteries (at ~92% efficiency).
- $\eta_{battery}$ (Battery Efficiency): Batteries are also not 100% efficient (e.g., ~85% for VRLA).
- $DoD$ (Depth of Discharge): You never drain a battery to 0%. This shortens its life. A typical DoD for VRLA batteries is 50-80%, meaning you are only using 50-80% of its total capacity to ensure long life.
This calculator also determines the Battery Charging Power, which is the extra power the UPS must draw from the wall to recharge the batteries after an outage *while simultaneously powering your load*. This total power ($Load + Charging$) is a critical factor in sizing the UPS input breaker and wiring.
4. Environmental Derating & Redundancy
a. Derating for Heat and Altitude
UPS systems are electronics, and they hate heat and thin air. All UPS systems are rated for a specific condition (e.g., 25°C at 1000m). If you install them in a hotter or higher location, their ability to cool themselves is reduced, and their power capacity must be derated.
- Temperature:** Installing a UPS in a 40°C electrical room (vs. a 25°C data center) can reduce its capacity by 15-25%.
- Altitude:** Thin air at high altitudes (e.g., > 1000m) reduces cooling efficiency, also requiring a derating factor.
b. Redundancy (N, N+1, 2N)
For critical industrial processes, a single UPS is a single point of failure. Redundancy ensures uptime even if one UPS fails.
- N: The minimum capacity required to run the load (e.g., Load = 80 kVA, UPS = 1x 100 kVA). If it fails, the load is lost.
- N+1: The most common redundant setup. You have one extra module than needed (e.g., Load = 80 kVA, UPS = 2x 100 kVA modules running in parallel). If one module fails, the other (N) can still carry the full load.
- 2N: The "fully redundant" standard for data centers and critical plants. Two completely independent UPS systems ("A" and "B"), each sized to carry the *full* load. Critical equipment with dual power supplies is fed from both. If the entire "A" system (UPS, breakers, wiring) fails, the "B" system is completely unaffected.