In this environment, the "Thermal Battery" (e.g., chilled water tanks or phase-change materials) is the core entity, regulated by nested PID loops connected over an IP fabric.
1. The Knowledge Graph Schema (Topological View)
Instead of a flat database, the schema represents the "Living Twin." Here is how the entities are structured:
Node Types (Vertices)
Physical Assets:
ThermalTank,Chiller,HeatExchanger,Pump.Control Nodes:
PIDController(Primary/Secondary),LogicSolver.Network Nodes:
IP_Gateway,Subnet_VLAN,MQTT_Broker.Temporal/Data Nodes:
Setpoint_History,Energy_Price_Index.
Relationship Types (Edges)
REGULATES: (PID Controller $\to$ VFD Pump)TRANSFERS_HEAT_TO: (Coolant Loop $\to$ Thermal Battery)REPORT_VIA: (PID Controller $\to$ IP_Gateway)DEPENDS_ON: (Secondary Loop $\to$ Primary Loop Stability)
2. Multi-PID Interaction Logic
In a thermal battery system (TBS), you have "Cascade Control." Graphixa maps these dependencies so the "Cyberspace" layer understands that if the Primary Loop fails, the Secondary Loop will oscillate.
3. The Equitus Fusion Integration
By fusing the Graphixa schema with Equitus, the system performs Predictive Re-tuning.
Anomaly Detection: If the $K_i$ (Integral) term in the Discharge PID begins to "wind up" (indicating it can't reach the setpoint), the Graphixa engine looks at the
TRANSFERS_HEAT_TOedge.Contextual Logic: It identifies that the heat exchanger is fouled or the external IP-controlled chiller is under-performing.
Automated Adjustment: Instead of a human technician, the "Cyberspatial" layer calculates a more efficient Setpoint ($SP$) based on the current graph state and pushes it back down via Modbus TCP.
4. Querying the "Cyber-Physical" State
Using a graph query (like Cypher), you can ask the system complex questions that a standard SCADA system couldn't answer:
"Show me all PID loops whose Stability Index has dropped by 10% following the firmware update on the IP Gateway 'Beta-9'."
Security Layer
Because Equitus/Graphixa tracks the lineage of the data, an "IP Injection Attack" (someone trying to spoof a PID temperature to melt the battery) would be flagged. The graph would show that the reported temperature node is mathematically inconsistent with the Inflow_Sensor and Ambient_Temp nodes it is connected to.
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