gridStabilityControlsCert
plain-language theorem explainer
The definition supplies a concrete certificate that exactly five grid stability controls exist under the Recognition Science energy model. Grid modelers would cite it to confirm that configDim D equals five for the enumerated set of inertia, frequency response, voltage support, demand response, and storage dispatch. It is realized as a one-line wrapper that populates the structure field with the decidable cardinality theorem.
Claim. Let GridStabilityControlsCert be the structure whose sole field requires that the cardinality of the type of grid stability controls equals five. Then gridStabilityControlsCert is the term of this structure obtained by setting that field to the theorem establishing the cardinality.
background
The module enumerates five canonical electric-grid stability controls that realize configDim D equals five: inertia, primary frequency response, voltage support, demand response, and storage dispatch. These correspond to rotational buffer, fast governor action, reactive power, load-side modulation, and temporal energy shifting. The referenced structure GridStabilityControlsCert is defined by the single requirement that Fintype.card of GridStabilityControl equals five. The upstream theorem gridStabilityControl_count establishes this equality by decide. Energy is introduced as the abbreviation for the reals.
proof idea
One-line wrapper that applies the gridStabilityControl_count theorem to instantiate the five_controls field of the GridStabilityControlsCert structure.
why it matters
This definition closes the enumeration step inside the energy module by supplying the required certificate for the five controls tied to configDim D equals five. It aligns with the Recognition Science forcing chain at the point where dimension parameters are fixed, here extending the spatial D equals three result to the energy control count. No downstream theorems are recorded, so the certificate stands ready for any later stability or dispatch analysis that invokes the structure.
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