Public evidence

electrical.power_factor

Machine-checked verification for calculation version 1.5.1 · tier engine_tested

Open calculator API Capability Download JSON CVP Manifest MCP Review policy

CVP: CVP VERIFIED · CVP protocol 1.0.0-proposed · Engineering assurance· P_kW in; S/Q out in kVA/kvar · Protocol · Schema · Production report

Declared partition coverage: PASS · 4/4 declared partitions (1phi, 3phi-ll, 3phi-ln, invalid-domain)
Versions: Calculation 1.5.1 · CVP protocol 1.0.0-proposed
CVP identity: 8/8 property · digest 3a01980707da

Verification

Legacy regression suite: 26/26 calculation tests · Production surface contract 4/4

Three distinct suites: educational examples on the calculator page, this legacy regression count (26/26 golden + boundary), and the CVP verification suite below. They are not the same number. Property, metamorphic, round-trip, O3, and interface statuses/checks are recorded in the CVP Manifest . SKIP (0/0) means that suite has no published vectors.

This calculator CURRENT · Public schema 1.5.1 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓

CVP verification suite

Protocol checks from the Evidence Manifest. Distinct from the legacy regression suite above. Calculation version 1.5.1. CVP 1.0.0-proposed. 4/4 golden · 8/8 CVP boundary · 8/8 invalid · 8/8 property · 1/1 cross-interface · 1/1 CVP contract. digest 3a01980707da.

Golden (oracle-backed) 4 / 4
CVP boundary 8 / 8
Invalid input 8 / 8
Property 8 / 8
Cross-interface 1 / 1
CVP contract 1 / 1
Interfaces PASS · UI (SSR) / REST / MCP
Interface claim ui-ssr is query-result HTML, not a live browser session.
Assurance Engineering

release artifacts aligned PASS
schema valid input executes PASS
engine success output validates schema PASS
schema rejects incomplete input PASS

Fingerprint sha256:89a1b805a2d9a8d0f73adb83ec59a9c4dfad86e163aed81299e4e6b03b3972db

Input schema sha256:58f7124c7fa45a14a497899c2e332e231b44ed54732eafc036000d910742d5cb · Output schema sha256:033f5d62f827aa868e68783f3c570dd404f88eb2ad51504f45fb99dbbd307933 · Build-time SHA-256 digests prove published artifacts agree with each other (release_integrity.scope=workspace). Production attestation GETs canonical URLs twice (public/cached view and origin), including Capability HTML, via npm run attest:production --write (published at /.well-known/calculatorx-production-attestation.json) and fails if the public Capability page advertises a different calculation_version. This is artifact consistency, not an independent immutable release log.

Build & scope

Engine identity and declared limitations.

Tool: power-factor
Engine: power-factor
Engine build: 2026-09-10
Evidence core: 2026-09-10T22:48:17.762Z
Rendered: 2026-09-16T22:03:43.700Z
Last reviewed: —

Assumptions

Sinusoidal RMS voltage and current magnitudes.
Balanced three-phase when 3φ L-L or L-N modes are selected.
Correction capacitor estimate (UI) fully offsets computed Q toward unity PF (idealized).

Limitations

Correction capacitor estimate is UI-only (not part of the API result)
Not for harmonic-rich or engineered bank design
When P > S, PF is capped at 1 and Q = 0 (soft clamp)
Voltage must be > 0 (VOLTAGE_MUST_BE_POSITIVE); zero volts is not a valid S=0 shortcut

Sources

Standards and references supporting this tool specification. Methods are listed separately — they are algorithms, not bibliographic sources.

IEC 60050 — International Electrotechnical Vocabulary — Apparent power (IEV 131-11-41)
Supports: S = U × I definition of apparent power; unit volt-ampere (VA / kVA)
IEC 60050 — International Electrotechnical Vocabulary — Reactive power (IEV 131-11-44)
Supports: Q = S sin φ under sinusoidal conditions; unit var / kVAR
IEC 60050 — International Electrotechnical Vocabulary — Power factor (IEV 131-11-46)
Supports: λ = |P| / S; PF displayed as P/S (sinusoidal displacement factor cos φ when applicable)
IEEE Std 1459-2025 — Power factor as P/S; apparent, active, and reactive power (S² = P² + Q²) · 2025-05-16 · errata checked
Supports: PF = P/S; Q = √(S² − P²); capacitor sizing from Q and f
BIPM SI Brochure (9th edition, version 4.01) — SI units related to electrical power · 2026-06 · DOI
Supports: V, A, W relationships underlying kVA/kVAR scaling

Legacy published checks

Golden and boundary cases from the legacy Evidence JSON. CVP property, metamorphic, round-trip, O3, and interface statuses/checks are recorded in the Manifest — including SKIP when a suite has no vectors.

ID	Kind	Status	Detail
`1phi-default`	golden	pass	Expected S=2.3 · pf=0.7826 · Actual S=2.3 · pf=0.782608695652174 · Q=1.4317821063276353
`1phi-unity`	golden	pass	Expected S=2.3 · pf=1 · Q=0 · Actual S=2.3 · pf=1 · Q=0
`1phi-half-pf`	golden	pass	Expected S=2.3 · pf=0.5 · Actual S=2.3 · pf=0.5 · Q=1.9918584287042087
`1phi-p-gt-s-cap`	golden	pass	Expected S=2.3 · pf=1 · Q=0 · Actual S=2.3 · pf=1 · Q=0
`error-zero-volts`	boundary	pass	Expected VOLTAGE_MUST_BE_POSITIVE · Actual VOLTAGE_MUST_BE_POSITIVE
`error-neg-P`	boundary	pass	Expected VALUE_MUST_BE_NON_NEGATIVE · Actual VALUE_MUST_BE_NON_NEGATIVE
`error-invalid-mode`	boundary	pass	Expected INVALID_MODE · Actual INVALID_MODE
`error-missing-I`	boundary	pass	Expected MISSING_REQUIRED_INPUT · Actual MISSING_REQUIRED_INPUT
`soft-zero-power`	golden	pass	Expected S=2.3 · pf=0 · Actual S=2.3 · pf=0 · Q=2.3
`3phi-ll-half-current`	golden	pass	Expected S=17.321 · pf=0.866 · Actual S=17.32050807568877 · pf=0.8660254037844387 · Q=8.660254037844386
`3phi-ll`	golden	pass	Expected S=34.641 · pf=0.866 · Actual S=34.64101615137754 · pf=0.8660254037844387 · Q=17.32050807568877
`scale-2x-I-P`	golden	pass	Expected S=4.6 · pf=0.7826 · Actual S=4.6 · pf=0.782608695652174 · Q=2.8635642126552705
`3phi-ln`	golden	pass	Expected S=6.9 · pf=0.8696 · Actual S=6.9 · pf=0.8695652173913043 · Q=3.407345007480164
`soft-zero-current`	golden	pass	Expected S=0 · pf=0 · Actual S=0 · pf=0 · Q=0
`boundary-zero-v-pf`	boundary	pass	Expected VOLTAGE_MUST_BE_POSITIVE · Actual VOLTAGE_MUST_BE_POSITIVE
`boundary-neg-v`	boundary	pass	Expected VOLTAGE_MUST_BE_POSITIVE · Actual VOLTAGE_MUST_BE_POSITIVE
`boundary-neg-I`	boundary	pass	Expected VALUE_MUST_BE_NON_NEGATIVE · Actual VALUE_MUST_BE_NON_NEGATIVE
`boundary-missing-P`	boundary	pass	Expected MISSING_REQUIRED_INPUT · Actual MISSING_REQUIRED_INPUT
`property-unity-pf`	property	pass	P=S → λ=1
`property-half-pf`	property	pass	P=S/2 → λ=0.5
`property-3phi-S`	property	pass	3φ L-L: S=√3·V·I/1000
`property-power-triangle`	property	pass	Q² + P² = S²
`property-pf-cap`	property	pass	P>S → λ=1, Q=0
`property-scale-invariant-pf`	property	pass	2×I & 2×P keeps λ
`property-3phi-ln-S`	property	pass	3φ L-N: S=3·V·I/1000
`property-pf-grid`	property	pass	PF grid 9/9