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Energy operators

10 operators in the energy category of the live registry. Each is a named formula you can compose inside a state contract or call directly through POST /api/zeq/compute. KO42 is always on; add up to three more per call (total ≤ 4), per the 7-step protocol.

OperatorDescriptionEquation
POWER_ELECTRICALElectrical power dissipation expressed as the product of voltage and current, or equivalently as current squared times resistance.P = VI = I^2R = \frac{V^2}{R}
POWER_FACTORPower factor defined as the cosine of the phase angle between voltage and current, measuring real power delivery efficiency in AC circuits.PF = \cos(\phi)
POWER_LOSSJoule heating loss in transmission lines, quantifying resistive power dissipation as current squared times line resistance.P_{loss} = I^2 R_{line}
SOLAR_IRRADIANCEGround-level solar irradiance computed from extraterrestrial constant adjusted by the cosine of the solar zenith angle.G = G_0 \times \cos(\theta_z)
SOLAR_OPTIMIZEOptimal solar panel tilt angle approximation based on geographic latitude with seasonal adjustment for maximum annual energy capture.\theta_{opt} = \phi \pm 15°
SOLAR_POWERPhotovoltaic power output from panel area, cell efficiency, incident irradiance, and system performance ratio.P = A \times \eta \times G \times PR
THERMO_CARNOTCarnot efficiency establishing the theoretical maximum efficiency of any heat engine operating between two thermal reservoirs.\eta_C = 1 - \frac{T_C}{T_H}
THERMO_ENTROPYClausius entropy change defined as the integral of reversible heat transfer divided by temperature along a thermodynamic path.\Delta S = \int \frac{dQ}{T}
THERMO_HEAT_TRANSFEROverall heat transfer rate through a surface expressed as the product of heat transfer coefficient, area, and temperature difference.Q = UA\Delta T
WIND_POWERWind turbine power extraction from kinetic energy flux through the rotor disc area, bounded by the Betz limit for power coefficient.P = \frac{1}{2}\rho A v^3 C_p

Compute with one of these​

curl -sS -X POST https://zeqsdk.com/api/zeq/compute \
  -H "Authorization: Bearer $ZEQ_KEY" \
  -H "Content-Type: application/json" \
  -d '{"operators":["POWER_ELECTRICAL"],"inputs":{}}'

The response carries the bare physics value, its unit and uncertainty, the generated master equation, and a signed envelope you can verify on any node.

See also​