gridStabilityControlsCert
This definition supplies a certificate asserting that the finite type of grid stability controls has cardinality five, by direct assignment of the structure field from the enumeration count. Energy systems researchers in the Recognition Science setting would cite it to confirm that configDim D equals five for the canonical controls of inertia, frequency response, voltage support, demand response, and storage dispatch. The construction is a one-line wrapper that invokes the decide-based cardinality theorem.
claimLet $C$ be the finite type of grid stability controls. The certificate is the structure whose field satisfies $|C| = 5$, with the right-hand side taken from the enumeration count.
background
The module identifies five canonical electric-grid stability controls that realize configuration dimension D = 5: inertia (rotational buffer), primary frequency response (fast governor action), voltage support (reactive power), demand response (load-side control), and storage dispatch (temporal energy shifting). Energy is introduced as the abbreviation for the real numbers in RS-native units. The upstream theorem gridStabilityControl_count establishes by decision procedure that the finite type GridStabilityControl has cardinality exactly five, and the sibling structure GridStabilityControlsCert packages this equality as its sole field.
proof idea
The definition is a one-line wrapper that directly assigns the five_controls field of the GridStabilityControlsCert structure to the value of the gridStabilityControl_count theorem.
why it matters in Recognition Science
This definition completes the certification step for the five-control enumeration inside the energy systems depth, aligning the model with configDim D = 5. It supplies the concrete witness needed for any later verification that these controls span the required configuration space, consistent with the framework's derivation of spatial dimensions and constants from the forcing chain (T5–T8). No downstream uses are recorded, and the declaration touches no open scaffolding.
scope and limits
- Does not derive the five controls from the J-uniqueness functional equation or the phi-ladder.
- Does not prove dynamical stability of any grid model under these controls.
- Does not connect the controls to the mass formula, Berry threshold, or alpha band.
- Does not address physical implementation or measurement of the controls.
formal statement (Lean)
33def gridStabilityControlsCert : GridStabilityControlsCert where
34 five_controls := gridStabilityControl_count
proof body
Definition body.
35
36end IndisputableMonolith.Energy.GridStabilityControlsFromConfigDim