📚 Engineering Terminology & Equations

Clean Energy & Electrical Engineering Glossary

Authoritative definitions, governing physical equations, SI units, and international standards (IEEE, NFPA 70 NEC, NREL, ANSI/ASHRAE, and AHRI) used across PowerLab's deterministic planning engines.

Standardized Concepts (18 Terms)

BATTERYk (dimensionless)

Peukert's Exponent

Formulated by Wilhelm Peukert in 1897, Peukert's exponent (k) accounts for non-linear capacity reduction in electrochemical cells under heavy discharge rates. While Flooded Lead-Acid batteries exhibit k ≈ 1.20–1.25, modern Lithium Iron Phosphate (LiFePO4) cells maintain k ≈ 1.01–1.03, yielding near-constant usable energy regardless of load.

t = H \cdot \left( \frac{C}{I \cdot H} \right)^k
Standard: IEEE Std 485 / Peukert (1897)Wikidata ↗
BATTERYDoD (%)

Depth of Discharge (DoD)

Depth of Discharge indicates battery utilization. Lead-acid batteries are typically restricted to 50% DoD to avoid rapid cycle degradation, whereas LiFePO4 energy storage systems safely support 80% to 90% DoD for 4,000+ full charge-discharge cycles.

\text{DoD} = \frac{E_{\text{discharged}}}{E_{\text{nominal}}} \times 100\%
Standard: IEEE Std 1547 / IEC 62619Wikidata ↗
BATTERYC (h⁻¹)

C-Rate (Charge/Discharge Rate)

A 1C discharge rate empties the entire battery capacity in 1 hour (e.g. 100A for a 100Ah battery). A 0.2C rate (5 hours) represents typical solar storage cycling, minimizing internal resistance losses and cell thermal stress.

I = C_{\text{rate}} \times C_{\text{nominal}}
Standard: IEC 61427 / IEEE Std 485Wikidata ↗
BATTERYP_tare (Watts (W))

Inverter Tare Loss (Idle Power)

Inverters consume standby power (15W to 60W for residential units) to operate internal control circuits, PWM switching drivers, and cooling fans. In low-power off-grid systems, tare loss can represent up to 25% of daily battery drain if not accounted for.

E_{\text{tare,daily}} = P_{\text{tare}} \times 24\text{ hours}
Standard: UL 1741 / IEEE 1547Wikidata ↗
SOLARPSH (kWh/m²/day)

Peak Sun Hours (PSH)

Peak Sun Hours standardizes variable daylight solar insolation into an equivalent period of full Standard Test Condition (1 kW/m²) sunlight. Annual PSH varies geographically from 3.15 PSH in Anchorage, AK to 6.55 PSH in Phoenix, AZ.

\text{PSH} = \frac{\int G(t) \, dt}{1000\text{ W/m}^2}
Standard: NREL NSRDB / IEC 60904-3Wikidata ↗
SOLARβ_Voc (%/°C)

Voc Temperature Coefficient

Because silicon semiconductor bandgaps expand at sub-freezing temperatures, PV string open-circuit voltage rises substantially in winter. NEC 690.7 mandates factoring in historical record low temperatures to prevent over-voltage damage to MPPT charge controllers.

V_{oc,\text{max}} = V_{oc,\text{STC}} \cdot \left[ 1 + \beta_{Voc} \cdot (T_{\text{min}} - 25^\circ\text{C}) \right]
Standard: NFPA 70 (NEC 690.7) / IEC 61215Wikidata ↗
SOLARMPPT (dimensionless)

Maximum Power Point Tracking (MPPT)

MPPT controllers continuously sweep the PV I-V curve to locate the maximum power knee (Vmp × Imp), converting excess array voltage into additional charging current with 97%–99% conversion efficiency.

P_{\text{max}} = V_{mp} \times I_{mp}
Standard: IEEE 1547 / UL 1741Wikidata ↗
SOLARI_poa (W/m²)

Perez Diffuse Irradiance Model

Developed by Richard Perez, this model is the international benchmark in NREL PVWatts and SAM for transposing horizontal global and diffuse irradiance onto tilted collector planes with maximum empirical accuracy.

I_{\text{poa,diffuse}} = I_{dh} \cdot \left[ (1 - F_1) \cdot \left( \frac{1 + \cos\beta}{2} \right) + F_1 \cdot \frac{a}{b} + F_2 \cdot \sin\beta \right]
Standard: Perez et al. (Solar Energy, 1990) / NREL PVWattsWikidata ↗
HVACSEER2 (BTU/Wh)

SEER2 (Seasonal Energy Efficiency Ratio 2)

Enacted by the U.S. Department of Energy on January 1, 2023 under AHRI Standard 210/240 (Appendix M1), SEER2 increases external static duct pressure testing from 0.1 to 0.5 inches of water gauge, reflecting realistic residential air handler operating conditions.

\text{COP}_{\text{cooling}} = \text{SEER2} \times 0.293071
Standard: AHRI 210/240 (2023 M1) / DOE 10 CFR Part 430Wikidata ↗
HVACHSPF2 (BTU/Wh)

HSPF2 (Heating Seasonal Performance Factor 2)

HSPF2 accounts for non-linear coefficient of performance (COP) decay as outdoor ambient temperatures drop, compressor defrost energy cycles, and auxiliary resistive strip heat staging.

\text{COP}_{\text{heating,seasonal}} = \text{HSPF2} \times 0.293071
Standard: ANSI/ASHRAE Standard 90.1 / AHRI 210/240Wikidata ↗
HVACT_design (°F / °C)

ASHRAE 99% / 1% Design Temperature

Published in the ASHRAE Handbook — Fundamentals, 99% winter design dry-bulb temperatures ensure heating systems maintain 70°F indoor comfort during 99% of all winter hours, establishing the threshold for heat pump thermal balance point sizing.

\dot{Q}_{\text{design}} = \text{UA}_{\text{building}} \cdot (T_{\text{indoor}} - T_{\text{design,99\%}})
Standard: ASHRAE Handbook — Fundamentals (Ch 14 & 18)Wikidata ↗
HVACI_LRA (Amperes (A))

Locked Rotor Amps (LRA & Inrush)

Governed by NEMA Motor Code Letters (NEC 430.7(B)), motor starting inrush current typically measures 400% to 700% of nominal running load amps (RLA), requiring proper standby generator sizing or electronic soft-starter integration.

I_{\text{LRA}} = \frac{\text{HP} \cdot (\text{kVA/HP}_{\text{code}}) \cdot 1000}{V \cdot \sqrt{\phi}}
Standard: NFPA 70 (NEC Article 430) / NEMA MG 1Wikidata ↗
EVI_breaker (Amperes (A))

NEC 125% Continuous Load Rule

Under NEC Article 625.42 and Article 210.19(A), electric vehicle supply equipment (EVSE) is classified as a continuous load (operating for 3 hours or more). Therefore, a 48A EV charger requires a 60A breaker (48 × 1.25 = 60A).

I_{\text{OCPD,min}} = I_{\text{continuous}} \times 1.25
Standard: NFPA 70 (NEC 625.42 & 210.19)Wikidata ↗
EVη_charger (%)

Onboard AC-to-DC Charging Efficiency

Because thermal dissipation and auxiliary coolant pumps draw continuous baseline power during charging, Level 1 (120V 12A/16A) charging exhibits lower net efficiency (82%–86%) compared to Level 2 (240V 32A–48A), which achieves 90%–94% efficiency.

E_{\text{battery,net}} = E_{\text{grid,meter}} \times \eta_{\text{charger}}
Standard: SAE J1772 / IEEE 2030.5Wikidata ↗
EVV2L (kW)

Vehicle-to-Load (V2L / V2G)

V2L technology enables an EV to operate as a high-capacity mobile energy storage system, supplying 1.8 kW to 9.6 kW of AC emergency backup power while enforcing user-configured driving range reserves.

t_{\text{backup}} = \frac{(C_{\text{battery}} \cdot (\text{SoC}_{\text{start}} - \text{SoC}_{\text{reserve}})) \cdot \eta_{\text{v2l}}}{P_{\text{load}}}
Standard: ISO 15118-20 / UL 9741Wikidata ↗
ELECTRICALVD (% / Volts)

Conductor Voltage Drop

Ohm's Law governs voltage drop across circuit wiring. NEC 210.19 Informational Note No. 4 recommends that voltage drop not exceed 3% on branch circuits and 5% total combined feeder-branch to ensure equipment longevity and prevent conductor overheating.

VD_{\text{volts}} = \frac{2 \cdot K \cdot I \cdot L}{A_{\text{cmil}}}
Standard: NFPA 70 (NEC 210.19) / IEEE Std 141Wikidata ↗
ELECTRICALcmil (cmil)

Circular Mils (cmil)

Used universally across the National Electrical Code (NEC Chapter 9 Table 8) to specify conductor cross-sections, circular mils simplify direct resistance calculations for wire sizes from 14 AWG (4,110 cmil) up to 1,000 kcmil.

A_{\text{cmil}} = (d_{\text{mils}})^2
Standard: ASTM B258 / NEC Chapter 9 Table 8Wikidata ↗
ELECTRICALPF (dimensionless)

Power Factor (PF)

In inductive AC loads (motors, compressors, fluorescent ballasts), current lags voltage, reducing power factor below 1.0 (typically 0.75 to 0.90), requiring generators and inverters to be sized for higher total apparent power (VA).

\text{PF} = \frac{P_{\text{real (Watts)}}}}{S_{\text{apparent (VA)}}}} = \cos\theta
Standard: IEEE Std 1459 / IEC 61000-3-2Wikidata ↗