## 3 Description of the General EMC Topological Model
### Description of the Topological Matrix  
As already mentioned, the main subject of EMC condition investigations of a ship's environment during its design and exploitation in practice involves determining the resultant value of the disturbing signal, as seen in Equation (1), at the selected EuT device. As shown in Figure 2, the resultant disturbance is the sum of three classes of disturbances, i.e., internal, external, and extraneous disturbances. Eachgroup consists of a specified number of disturbing signals. The internal group contains four disturbing signals, the external group contains five disturbing signals, and the extraneous group contains seven disturbing signals, i.e., \(E_{m=1\div 4}^{(i)}\), \(E_{j=1\div 5}^{(o)}\), and \(E_{k=1\div 7}^{(e)}\), respectively. To calculate the resultant value in Equation (1) of the total disturbing signal \(E_{l}^{(t)}\) at the selected \(l\)-th EuT, the values of Equations (2)-(4), i.e., \(E_{l}^{(i)}\), \(E_{l}^{(o)}\), and \(E_{l}^{(e)}\), are calculated. Thus, it is necessary to have knowledge of the vectors and matrices in Equations (6)-(14), which are adequate for the scenario in Figure 2.  
Firstly, the vectors and matrices of \(E_{l}^{(i)}\) in Equation (6) for the scenario are of the following forms:  
\[\left[d^{(i)}\right]_{4\pi 4}=\left[ \begin{array}{c}1000\\ 0100\\ 0010\\ 0001\end{array} \right], \tag{15}\]  
\[\left[E_{m}^{(i)}(0)\right]_{4\pi 1}=\left[ \begin{array}{c}E_{1}^{(i)}(0)\\ E_{2}^{(i)}(0)\\ E_{3}^{(i)}(0)\\ E_{4}^{(i)}(0)\end{array} \right], \tag{16}\]  
\[\left[sc^{(i)}\right]_{4\pi 4}=\left[ \begin{array}{c}0011\\ 0011\\ 0011\\ 0001\end{array} \right], \tag{17}\]  
\[\left[a_{s}^{(i)}\right]_{4\pi 1}=\left[ \begin{array}{c}a_{s}^{(i)}\\ a_{s2}^{(i)}\\ a_{s4}^{(i)}\\ a_{s4}^{(i)}\end{array} \right]. \tag{19}\]  
Secondly, the vectors and matrices of \(E_{l}^{(o)}\) in Equation (13) are of the following forms:  
\[\left[d^{(o)}\right]_{5\pi 5}=\left[ \begin{array}{c}10000\\ 01000\\ 00100\\ 00001\end{array} \right], \tag{20}\]  
\[\left[E_{j}^{(o)}(0)\right]_{5\pi 1}=\left[ \begin{array}{c}E_{1}^{(o)}(0)\\ E_{2}^{(o)}(0)\\ E_{3}^{(o)}(0)\\ E_{4}^{(o)}(0)\\ E_{5}^{(o)}(0)\end{array} \right], \tag{21}\]\[\left[\text{sc}^{(o)}\right]_{5\text{x4}}=\left[ \begin{array}{c}1111\\ 1111\\ 1111\\ 0111\\ 0111\end{array} \right], \tag{22}\]  
\[\left[a_{w}^{(o)}\right]_{4\text{x5}}=\left[ \begin{array}{c}a_{w11}^{(o)}a_{ w12}^{(o)}a_{w13}^{(o)}a_{w14}^{(o)}a_{w15}^{(o)}\\ a_{w21}^{(o)}a_{w22}^{(o)}a_{w23}^{(o)}a_{w24}^{(o)}a_{w25}^{(o)}\\ a_{w31}^{(o)}a_{w32}^{(o)}a_{w33}^{(o)}a_{w34}^{(o)}a_{w35}^{(o)}\\ a_{w41}^{(o)}a_{w42}^{(o)}a_{w43}^{(o)}a_{w44}^{(o)}a_{w45}^{(o)}\end{array}  \right], \tag{23}\]  
\[\left[a_{s}^{(o)}\right]_{5\text{x1}}=\left[ \begin{array}{c}a_{s1}^{(o)}\\ a_{s2}^{(o)}\\ a_{s3}^{(o)}\\ a_{s4}^{(o)}\\ a_{s5}^{(o)}\end{array} \right]. \tag{24}\]  
Thirdly, the vectors and matrices of \(E_{l}^{(e)}\) in Equation (14) have the following forms:  
\[\left[d^{(e)}\right]_{7\text{x7}}=\left[ \begin{array}{c}1000000\\ 010000\\ 001000\\ 000100\\ 0000010\\ 0000001\end{array} \right], \tag{25}\]  
\[\left[E_{k}^{(e)}(0)\right]_{7\text{x1}}=\left[ \begin{array}{c}E_{1}^{(e)} (0)\\ E_{2}^{(e)}(0)\\ E_{3}^{(e)}(0)\\ E_{4}^{(e)}(0)\\ E_{5}^{(e)}(0)\\ E_{6}^{(e)}(0)\\ E_{7}^{(e)}(0)\end{array} \right], \tag{26}\]  
\[\left[\text{sc}^{(e)}\right]_{7\text{x4}}=\left[ \begin{array}{c}1111\\ 1111\\ 1111\\ 1111\\ 1111\\ 1111\\ 1111\end{array} \right], \tag{27}\]  
\[\left[a_{w}^{(e)}\right]_{4\text{x7}}=\left[ \begin{array}{c}a_{w11}^{(e)}a_ {w21}^{(e)}a_{w13}^{(e)}a_{w14}^{(e)}a_{w15}^{(e)}a_{w15}^{(e)}a_{w17}^{(e)}\\ a_{w21}^{(e)}a_{w22}^{(e)}a_{w23}^{(e)}a_{w24}^{(e)}a_{w25}^{(e)}a_{w26}^{(e)} a_{w27}^{(e)}\\ a_{w31}^{(e)}a_{w32}^{(e)}a_{w33}^{(e)}a_{w34}^{(e)}a_{w35}^{(e)}a_{w36}^{(e)}a_{w37} ^{(e)}\\ a_{w41}^{(e)}a_{w42}^{(e)}a_{w43}^{(e)}a_{w44}^{(e)}a_{w45}^{(e)}a_{w46}^{(e)} \end{array} \right], \tag{28}\]\[\left[a_{s}^{(e)}\right]_{\mathcal{I}\times 1}=\left[