## 4 Materials and Methods
### Extenics-Based Identification Primitive Modeling of Coil Manufacturing Process Information
#### 4.4.1 All Elements Information Fusion Based on Extensible Petri Net Model

Table 8: _Cont._The complete manufacturing process of a transformer coil starts with the online placement of production orders and enters the production state by scanning the identification resolution code of the orders. Following the production process path and workflow of the coil, it goes through operations such as inner module assembly, coil winding, resin casting, high-voltage curing, etc., at respective workstations to perform related process operations. Additionally, activities such as quality inspection of materials and semi-finished products, transportation circulation, and equipment parameter collection are involved. Throughout the manufacturing process, real-time collection of comprehensive production information and status regarding personnel, machinery, materials, methods, environment, and measurements related to coil production is conducted. This is achieved through identification resolution coding for the entire process identification, and correlation and pathways for process evolution and information flow are established based on Petri nets. Finally, the finished coils that have passed inspection are stored in a three-dimensional warehouse. This study establishes a comprehensive information collection and integration model for coil production processes using identification resolution and expandable Petri nets, as shown in Figure 6.  
In Figure 6, the entire coil production process encompasses 15 positions and states, denoted as \(P_{1}\)-\(P_{15}\). Prior to transitioning to each state, an accumulation period is required, during which information gathering and confirmation of the five core elements--man, machinery, materials, methods, and environment--need to be completed. Taking the example of inner module assembly (\(P_{2}\)) in coil production, initially, the statuses and information of personnel (\(P_{2\text{-}1}\)), machinery (\(P_{2\text{-}2}\)), materials (\(P_{2\text{-}3}\)), methods (\(P_{2\text{-}4}\)), and environment (\(P_{2\text{-}5}\)) involved in this production task need to be separately collected and confirmed. Subsequently, the process information of the five elements is associated and integrated based on the identification resolution code, thereby constituting the identification resolution expandable information meta-model \(P_{2}\) for the inner module assembly phase. Similarly, for each production phase, the process information of the five core elements (4M1E) needs to be collected, associated, and integrated. Furthermore, based on the time sequence and process order, the process information of multiple production phases is associated and integrated. Ultimately, this forms a complete identification resolution expandable Petri net model for the entire coil production process. Thus, it structurally describes and expresses  
Figure 6: Identification resolution extendable Petri net for comprehensive element information collection and fusion. the role processes and key events of all essential resources, including people, machines, materials, methods, and environment, throughout each product's production process. 4.2 The Construction of the Mathematical Model for Process Information Traceability Based on Expandable Identification Primitives  
Based on the continuity and structural composition of traceability information in coil product production, it can be divided into two forms: identifiable traceability units and identifiable traceability scenarios. 1. Identifiable Traceability Units (Unit, abbreviated as \"\(u\)\" below)  
During the coil production process, multiple traceability entities integrated into an adaptation container (physically present or virtually existent) within the identification resolution system are consolidated, forming a fundamental unit that remains stable within a specific environment. If this fundamental unit requires traceability management at the overall level, it is considered an identifiable traceability unit. This unit possesses a unique code identifier, along with traceability capabilities.