feat(optimization): support a 15-minute optimization interval

The genetic optimizer was hard-wired to an hourly grid and forced
optimization.interval to 3600 s. Generalize it to a configurable slot grid
of length prediction.hours * (3600 / interval), accepting 900 (15 min) in
addition to the default 3600 (1 hour) so the optimizer can schedule on a
quarter-hour grid for 15-minute dynamic electricity tariffs.

- genetic.py: slot_duration_h / slots_per_hour / total_slots helpers; all GA
  vectors sized by total_slots; simulate()/evaluate() indexed by start slot.
- geneticparams.py: allow {900, 3600}; scale the load power series to per-slot
  energy, mirroring the PV series.
- battery.py / inverter.py: scale power caps to per-slot energy caps via
  slot_duration_h; homeappliance.py carries the hook.
- geneticsolution.py: serialize solution and plan on the slot grid (interval
  freq, start-slot offset, second-based instruction instants).

The default 3600 s interval keeps the previous hourly behaviour; the genetic
regression suite is unchanged. Adds tests for the 15-minute slot grid.

docs/_generated/configoptimization.md

@@ -11,7 +11,7 @@
 | genetic | `EOS_OPTIMIZATION__GENETIC` | `GeneticCommonSettings` | `rw` | `required` | Genetic optimization algorithm configuration. |
 | horizon | | `int` | `ro` | `N/A` | Number of optimization steps. |
 | horizon_hours | `EOS_OPTIMIZATION__HORIZON_HOURS` | `int` | `rw` | `24` | The general time window within which the energy optimization goal shall be achieved [h]. Defaults to 24 hours. |
-| interval | `EOS_OPTIMIZATION__INTERVAL` | `int` | `rw` | `3600` | The optimization interval [sec]. Defaults to 3600 seconds (1 hour) |
+| interval | `EOS_OPTIMIZATION__INTERVAL` | `int` | `rw` | `3600` | The optimization interval (slot length) [sec]. The genetic optimizer supports 3600 (1 hour) and 900 (15 min); other values fall back to 3600. Defaults to 3600 seconds (1 hour). |
 | keys | | `list[str]` | `ro` | `N/A` | The keys of the solution. |
 :::
 <!-- pyml enable line-length -->

docs/akkudoktoreos/optimauto.md

@@ -139,17 +139,16 @@ The energy management can be run in three modes:
     Each device simulation run must ensure that all tasks or appliance cycles (e.g., running a
     dishwasher) are completed within the configured time windows.
 
-- **interval**: Defines the time step in seconds between control actions
-    (e.g. `3600` for one hour, `900` for 15 minutes).
+- **interval**: Defines the time step (slot length) in seconds between control actions.
+    The genetic algorithm supports `3600` (one hour, the default) and `900` (15 minutes);
+    any other value falls back to `3600`. The number of optimization slots is
+    `prediction.hours * (3600 / interval)`, and device power caps as well as the solution
+    and energy-management-plan serializers are slot-aware.
 
-:::{warning}
-**Current Limitation**
-
-At present, the `interval` setting is **not used** by the genetic algorithm. Instead:
-
-- The control interval is fixed to **1 hour**.
-
-Support for configurable intervals (e.g. 15-minute steps) may be added in a future release.
+:::{note}
+Use `900` together with a 15-minute electricity price source (for example a dynamic or
+exchange-priced tariff) to let the optimizer schedule on a quarter-hour grid. Keeping the
+default `3600` preserves the previous hourly behaviour.
 :::
 
 #### Genetic Algorithm Parameters