**5. Fuzzy simulation**

*Maintenance Management*

*Source: Authors*

*Thermography to determine hot spots.*

Zone B [P] Permissible

**Table 10.**

**(Zone) (Thermography)** (A) ([N] Normal less or equal 94.0 F) B [P] Permissible

C [A] Alert

(34.5°F < T ≤ 73.5°F)

(D) [C] Critical above 199.3 F

**Zone Qualification Operation of machines**

Zone A [N] Normal (T ≤ 34.5°F) Commissioned machines should generally

Zone C [A] Alert (73.5°F < T ≤ 93°F) Unsatisfactory for continuous operations for

Zone D [C] Critical (T > 93°F) It is sufficient to cause damage to the machine

(B/C) (94.0 F) (164.2 F)

(C/D) (164.2 F) (199.3 F)

**Motor technical status (ETM) for operating** 

*Function of pertinence of the classification of thermography.*

**4.3 The input variable "thermography analysis level"**

**4.4 Output variable "technical condition of the motor"**

**Operation of machines**

operate in this area

long periods

long periods

at any time

It is acceptable for unrestricted operation for

Normal 76–100% Commissioned machines should generally operate in this area Permissible 51–75% It is acceptable for unrestricted operation for long periods Alert 26–50% Unsatisfactory for continuous operations for long periods Critical 0–25% It is sufficient to cause damage to the machine at any time

Thermography analysis is an input variable, **Tables 10** and **11**, that can be used as a tool for load dispatching. The levels of thermographic analysis were just been subdivided in four (4) variables, each one corresponding to the dynamic memory. The use of images in thermal plants is very important for this reason. The infrared radiation is a base of studies on the thermal images, which has a function of capturing this radiation, interpreting and generating a quantitative image of the tempera-

The "estimated technical state of the engine (ETM)" is the output variable of the system, in relation to vibration (oil, water, iron, and copper). **Table 12** describes the

**conditions**

*Source: Authors*

**Table 11.**

*Source: Authors.*

*Variable "engine technical status".*

ture of the studied body [16].

**Table 12.**

**48**

The fuzzy inference with the input and output variables was performed employing the MATLAB version 8.0 tool and using a Mamdani model. This model adopts semantic rules for the processing of inferences and is commonly referred to as maximum-minimum inference. Such an inference model applies well to this type of problem since it uses union and intersection operations between sets. All variables are entered considering the intervals determined in the rules of inference. **Figure 3** shows the variables "vibration," "water," thermography, "iron," and "copper" according to **Figure 3**.

All variables are entered considering the intervals determined in the rules of inference. **Figures 4–7** show the variables "vibration, water, thermography, iron, and copper" according to the figures below.

The first input variable is a thermography (**Figure 4**). According to **Tables 6** and **7,** we have

The second input variable is water (**Figure 5**) produced by the generating units. According to **Tables 8** and **9,** we have

The third input variable is the thermography (**Figure 6**) produced by the generating units. According to **Tables 10** and **11,** we have

The fourth input variable is iron (**Figure 7**) produced by the generating units. According to **Tables 8** and **9**, we have

The fifth input variable is copper (**Figure 8**) produced by the generating units. According to **Tables 8** and **9,** we have

The motor technical state is a product of the relationship between the input variable and output variable, which compose the pertinence functions expressed in the curves of **Figure 9**.

After editing the pertinence functions of all variables, the implemented rules are arranged in **Figure 10**, as shown in **Figure 8** for the visualization of the linguistic variables, thus forming antecedents and subsequent ones based on the Fuzzy inference rules .

To better understand the screen expressed, **Figure 11** shows all the possibilities that the simulation can produce. The movement of the red lines determines the other rule to be evaluated.

#### **Figure 4.**

*"Vibration level." Source: Authors.*

**Figure 5.** *"Water." Source: Authors.*

**51**

**Figure 9.**

*Output variable: technical status. Source: Authors.*

**Figure 7.**

**Figure 8.**

*"Copper." Source: Authors.*

*"Copper." Source: Authors.*

*Maintenance Management with Application of Computational Intelligence Generating…*

*DOI: http://dx.doi.org/10.5772/intechopen.82795*

#### **Figure 6.**

*"Thermography." Source: Authors.*

*Maintenance Management with Application of Computational Intelligence Generating… DOI: http://dx.doi.org/10.5772/intechopen.82795*

**Figure 7.** *"Copper." Source: Authors.*

*Maintenance Management*

**Figure 4.**

**Figure 5.**

*"Water." Source: Authors.*

*"Vibration level." Source: Authors.*

**50**

**Figure 6.**

*"Thermography." Source: Authors.*

**Figure 8.** *"Copper." Source: Authors.*

#### **Figure 9.**

*Output variable: technical status. Source: Authors.*

#### **Figure 10.**

*Implemented inference rules. Source: Authors.*

**Figure 11.**

*The input and output variables. Source: Authors.*

**53**

**Figure 15.**

*(Copper vs. vibration). Source: Authors.*

*Maintenance Management with Application of Computational Intelligence Generating…*

*DOI: http://dx.doi.org/10.5772/intechopen.82795*

**Figure 13.**

**Figure 14.**

*(Iron × vibration). Source: Authors.*

*(Water vs. vibration). Source: Authors.*

**Figure 12.** *(Thermography × vibration). Source: Authors.*

*Maintenance Management with Application of Computational Intelligence Generating… DOI: http://dx.doi.org/10.5772/intechopen.82795*

**Figure 13.** *(Water vs. vibration). Source: Authors.*

**Figure 14.** *(Iron × vibration). Source: Authors.*

**Figure 15.** *(Copper vs. vibration). Source: Authors.*

**52**

**Figure 12.**

**Figure 11.**

**Figure 10.**

*The input and output variables. Source: Authors.*

*Implemented inference rules. Source: Authors.*

*(Thermography × vibration). Source: Authors.*

*Maintenance Management*

**Figures 12–15** show the results of the inference rules from the 3D surface of the graph. In the blank, all the forms of execution are present that can exist within the simulation.
