Problem definition
Kundur (1994) Power System Stability and Control, Ch. 4 Table 4.1; Anderson & Fouad (2003)
Canonical RHS excerpt from the registered callable used for this benchmark cell. Expand it to verify the state equations; it is not a standalone runnable fixture.
Show canonical RHS excerpt
def _smib_3phase_fault_rhs(t: float, y: np.ndarray) -> np.ndarray:
"""SMIB 4-state transient model with piecewise-constant V(t).
V(t)=0 during [1.0, 1.1] s (bolted 3-phase fault); V_inf otherwise.
Pe = E'q·Iq + E'd·Id + (X'd − X'q)·Id·Iq (Kundur Eq. 3.131).
"""
delta, omega, Eq_p, Ed_p = y
V = 0.0 if _SF_FAULT_ON <= t <= _SF_FAULT_OFF else _SF_Vinf
Id = (Eq_p - V * np.cos(delta)) / _SF_Xdp
Iq = (V * np.sin(delta) - Ed_p) / _SF_Xqp
Pe = Eq_p * Iq + Ed_p * Id + (_SF_Xdp - _SF_Xqp) * Id * Iq
ddelta = _SF_ws * (omega - 1.0)
domega = (1.0 / (2.0 * _SF_H)) * (_SF_Pm - Pe - _SF_D * (omega - 1.0))
dEq_p = (1.0 / _SF_Td0p) * (_SF_Efd - Eq_p - (_SF_Xd - _SF_Xdp) * Id)
dEd_p = -(1.0 / _SF_Tq0p) * (Ed_p + (_SF_Xq - _SF_Xqp) * Iq)
return np.array([ddelta, domega, dEq_p, dEd_p])- Parameters
- _SF_D = 2
- _SF_Efd = 1
- _SF_FAULT_OFF = 1.1
- _SF_FAULT_ON = 1
- _SF_H = 3.5
- _SF_Pm = 0.8
- _SF_Td0p = 8
- _SF_Tq0p = 1
- _SF_Vinf = 1
- _SF_Xd = 1.81
- _SF_Xdp = 0.3
- _SF_Xq = 1.76
- _SF_Xqp = 0.65
- _SF_ws = 376.991118431
- Initial condition
- y(0) = [-0.783775959017, 1, 0.75660879129, -1.70350922899]
- Horizon
- t ∈ [0, 5]
Canonical RHS excerpt captured from the same registered callable used for the published benchmark. Frozen closure values are summarized below; helper imports and solver settings are intentionally omitted.
Cite this page
Replace the access date. Pin the freeze ID and library versions when comparing against a later export. Cite it as what it is — a self-reported vendor benchmark, not an independently verified result. The note field says so; please keep it.
@misc{resonix_evidence_smib_3_phase_fault_4d_pre_segmented_2026,
title = {Resonix Evidence Portal: SMIB 3-phase fault (4D, pre-segmented)},
author = {{Resonix Labs (Canada) Inc.}},
year = {2026},
howpublished = {\url{https://resonix.tech/evidence/problems/smib-3-phase-fault-4d-pre-segmented}},
note = {Self-reported vendor benchmark; internally generated by Resonix Labs and not independently verified. Accessed YYYY-MM-DD. Freeze 2026-08-13; libsolvsrk 2.3.0; SciPy 1.14.}
}TRL 4–5 · simulation-lab validated · 398 problems · 14 solver arms · clean + 5 noise levels
Freeze: 2026-08-13 · scipy 1.14 · libsolvsrk 2.3.0 · Methodology
Self-reported by Resonix Labs · not independently verified · Verification status