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Systematization of the Simulation Process of Transformer Inrush Current Using EMTP
Systematization of the Simulation Process of Transformer Inrush Current Using EMTP
Seo, Hun-Chul;Gwon, Gi-Hyeon
applied sciences Article Systematization of the Simulation Process of Transformer Inrush Current Using EMTP 1 2 , Hun-Chul Seo and Gi-Hyeon Gwon * School of Electronic & Electrical Engineering, Yonam Institute of Technology, Jinju-si 52821, Gyeongsangnam-do, Korea; firstname.lastname@example.org or email@example.com Department of Smart Electrical & Electronic Engineering, Yonam Institute of Technology, Jinju-si 52821, Gyeongsangnam-do, Korea * Correspondence: firstname.lastname@example.org; Tel.: +82-55-751-2045 Received: 2 May 2019; Accepted: 6 June 2019; Published: 12 June 2019 Abstract: An inrush current is generated when a transformer is energized. This current has a large magnitude and rich harmonics, thereby causing mal-operation of the protection relay. Therefore, the development of countermeasures against inrush current is necessary, and this study has been performed by computer simulations. However, it is dicult for a power system operator to perform a computer simulation as it is dicult to determine what data should be selected and entered. Therefore, this paper establishes the simulation process of transformer inrush current using the Electromagnetic Transients Program (EMTP). Two methods to simulate the transformer inrush current are described in detail. Based on the actual 154 kV transformer test report in Korea, the simulation results of the inrush current using the two methods are discussed. Keywords: current-ﬂux value; EMTP; leakage impedance, saturation point; test report; transformer inrush current 1. Introduction Transformers are essential components of power systems. However, energization of the transformer is necessary for the operation of power systems. When the transformer is energized, an inrush current of large magnitude and rich harmonics is generated. This current adversely aects the power system causing a reduction in the lifetime of the transformer, damage, and mal-operation of the protective relay. Therefore, several studies have been carried out on the inrush current of a transformer to counteract these adverse eects. References [1–5] studied the discrimination strategies between transformer faults and inrush current. References [6–13] studied the reduction techniques of inrush current. Moreover, [6–9] studied the controlled energization of transformers, while [10,11] studied the utilization of uninterrupted power supply and photovoltaic systems. In addition, [12–17] studied the power quality and protection of power systems by inrush current. The studies above were performed using a power system simulation program. [1,3,4,9] used Power Systems Computer Aided Design Electromagnetic Transients including DC (PSCAD/EMTDC). References [2,5] used MATLAB. References [6,7,10,14,15] used Electromagnetic Transients Program (EMTP). Reference  used Electromagnetic Transients Program—Restructured Version (EMTP-RV). Reference  used DigSILENT software, and  performed laboratory experiments. References [8,12,13] did not provide any simulation software information. References [1–17] did not provide detailed information for the simulation of the transformer inrush current. Appl. Sci. 2019, 9, 2398; doi:10.3390/app9122398 www.mdpi.com/journal/applsci Appl. Sci. 2019, 9, 2398 2 of 16 For a transient simulation program, it is necessary to derive the data based on the current–ﬂux curve necessary for simulating the transformer inrush current. In addition, data such as impedance ratio, impedance voltage, no-load losses, and winding resistance in transformer test reports are required. However, it is often dicult to determine what data should be used and how they should be processed when the power system operator performs transformer inrush current simulations. Therefore, this paper provides detailed information on the simulation of transformer inrush current to power system operators. The novel contribution of this paper is as follows: (1) The simulation process of transformer inrush current using EMTP has been systematized. (2) The necessary data for the simulation are derived from the test report. (3) The method for simulating transformer inrush current using these data is described in detail. (4) Based on the method proposed in this paper, the power system operator can easily perform the inrush current simulation. Therefore, this paper establishes the simulation process of transformer inrush current using EMTP, which simulates transient electromagnetic phenomena and is one of the most widely used electric utilities programs. Alternative Transients Program Draw (ATPDraw) is a graphical, mouse-driven pre-processor to the ATP version of EMTP [18–20]. Based on the established simulation process, the simulation example of transformer inrush current is presented using 154 kV transformer test data in Korea. The remainder of this paper is organized as follows: Section 2 discusses the inrush current. In Section 3, two methods of the simulation process of transformer inrush current using EMTP are introduced. Section 4 discusses the simulation results using 154 kV transformer test data in Korea. Finally, the conclusions derived from the study are presented in Section 5. 2. Transformer Inrush Current At the initial energization of the transformer, there is an injection of current to create the magnetic ﬁeld of the transformer, which is called magnetizing inrush current. When the transformer is initially energized, the magnetic ﬂux and winding current become repeatedly larger and smaller. This current can be several times larger than the rated current of the transformer, which can lead to mal-operation of the protective relay. Its duration varies from a few cycles to several seconds [1–4]. The magnitude of the inrush current is based on the closing point on the voltage waveform and residual ﬂux. The greater the residual magnetic ﬂux, the higher the possibility that the magnetic ﬂux exceeds the saturation magnetic ﬂux, such that the possibility of inrush current generation increases. When the transformer is energized, at the instant when the voltage becomes zero, the magnetic ﬂux becomes larger than the saturation ﬂux and a large inrush current is generated. However, when the transformer is energized, at the instant when the voltage becomes peak value (90 degree) on the waveform, the possibility that the magnetic ﬂux becomes smaller than the saturation ﬂux is low. Hence, the possibility of inrush current generation is also low. However, if the residual magnetic ﬂux is large, the inrush current may exceed the saturation ﬂux. 3. Simulation Process of Transformer Inrush Current Using EMTP There are two methods for simulating the nonlinear characteristics of the transformer as shown in Figure 1. The methods are dierent for Step 1 and 2, and the same for Step 3. Appl. Sci. 2019, 9, 2398 3 of 16 Figure 1. The simulation methods of transformer inrush current. 3.1. Method 1 3.1.1. Step 1: Estimation of Current–Flux To simulate the inrush current, hysteresis (current–ﬂux) curves are required to express the nonlinear characteristics of the transformer. These curves can be obtained using voltage and excitation current. Meanwhile, the auxiliary routine SATURA program provided by EMTP is used to convert the root mean square (RMS) (V–i) curve in the test report into the current–ﬂux curve required for transient simulation . However, the auxiliary routine SATURA is not supported by EMTP/ATPDraw. Therefore, the value must be entered in a text format and run in DOS mode after inputting all the SATURA values. The user can see the result by opening the punch ﬁle after execution. The current–ﬂux data generated by the SATURA is symmetrical in the ﬁrst and third quadrants. Therefore, the SATURA method has a disadvantage in that it cannot model the residual magnetic ﬂux. The result of this method can be entered into the current–ﬂux data of the Type 98 device or the current–ﬂux data in the saturation transformer model of EMTP. 3.1.2. Step 2: Input of Current–Flux Values (1) Input of current–ﬂux values using Type 98 device Type 98 device in the Branch/Nonlinear library of EMTP can be used to enter the current–ﬂux value. The results obtained by running SATURA in Step 1 are inputted in this device. The current value in steady state is inputted in the CURR section of the Type 98 device, while the ﬂux value in steady state is inputted in FLUX section. However, for this value, the ﬁrst value among the current–ﬂux values extracted in Step 1 is inputted. Meanwhile, the current–ﬂux values are inputted in the Characteristic tab. The current–magnetic ﬂux curve is then generated by clicking the View button at the bottom of the screen. Meanwhile, this Type 98 device corresponds only to the magnetizing current in the actual transformer equivalent circuit. The leakage resistance and leakage reactance in the primary side can be represented by introducing resistor and inductor model in the Branch/Linear library of EMTP. In addition, the transformer in the equivalent circuit can be represented by the transformer model. It should be noted that a single Type 98 device supports only a single-phase transformer model. Appl. Sci. 2019, 9, 2398 4 of 16 Moreover, a three-phase transformer model can be developed using three Type 98 devices. The method will be described in detail in Step 3. (2) Input of current–ﬂux values in the transformer model The next step is to input the current–ﬂux value in the transformer model. The saturable three-phase transformer model in the Transformers library is selected among the models provided by EMTP. On the Attributes dialog box that appears, the primary and secondary voltages, leakage resistance, and leakage reactance can be inputted. Meanwhile, the Characteristic tab allows the users to input current–ﬂux values. 3.1.3. Step 3: Power System Modeling (1) Using a Type 98 device Since Type 98 devices do not support three-phase modeling, three Type 98 devices should be used. Figure 2 shows an example of the entire modeling. The primary-side leakage resistance and leakage reactance should be located on the left side of the Type 98 device, represented by R–L elements in the red portion of Figure 2. The transformer model should select either a saturable single-phase model or a saturable three-phase model in the Transformers library. When selecting a saturable single-phase model, the transformer winding must be connected directly as the4 or y winding. Figure 2 shows an example of y–y winding. Figure 2. System conﬁguration using Type 98 device. Meanwhile, BCTRAN model in Transformers library of EMTP can also be used to input the transformer internal parameters. It converts the transformer into mutually coupled [R]–[L] elements . However, nonlinear devices such as Type 98 or Type 96 must be connected externally as the saturation characteristics are not included. In the Input section, the number of phases and of windings, iron core type, and frequency are inputted; while the rated voltage and capacity in the primary, secondary, and tertiary windings are inputted in the Rating section. In the Connection section, winding method is selected. Herein, ‘A’ is selected for the case of an autotransformer, while ‘Y’ and ‘D’ are selected for y and delta connections, respectively. In the Factory Test section, open circuit test and short circuit test data are inputted. For the open test, the voltage (%), excitation current (%), and iron loss (kW) are inputted; while the test results of % impedance, capacity (MVA), and load loss (kW) are inputted for short circuit tests. (2) Input of the current–ﬂux value inside the transformer model When inputting the current–ﬂux value inside the transformer model described in Step 2 (2), the saturable three-phase model in the Transformers library should be selected. However, the primary leakage resistance and the leakage reactance must be inputted into the transformer model since no separate current–ﬂux input device exists in the library. Appl. Sci. 2019, 9, 2398 5 of 16 3.1.4. Discussion For Method 1, the current–ﬂux value is derived using the SATURA auxiliary routine in Step 1. The users can then simulate the inrush current by inputting the current–ﬂux values in a Type 98 device or transformer model and modeling the entire system. If the voltage–current values are inputted directly in the transformer model, the process of deriving and inputting the current–magnetic ﬂux value obtained by the SATURA auxiliary routine in Step 1 and 2 can be omitted. However, it has a disadvantage that the users cannot determine the actual current–ﬂux value. In addition, it does consider the residual magnetic ﬂux that greatly aects the inrush current of the transformer. 3.2. Method 2 3.2.1. Step 1: Estimation of Current–Flux The HYSDAT auxiliary routine provided by EMTP can be used to estimate the current–ﬂux values of the hysteresis curve and the characteristics of the residual magnetic ﬂux . When inputting the values in HYSDAT, the current–ﬂux of the saturation point should be inputted. As this method does not exist in EMTP/ATPDraw, it must be conﬁgured in a text format. After simulation, the current–ﬂux values are included in the punch ﬁle. This method has an advantage in that the modeling of the hysteresis curve and the residual magnetic ﬂux can be performed. However, users need to ﬁrst estimate the current–ﬂux at the saturation point, which can be done using SATURA discussed in Method 1. The saturation point can be roughly estimated from the simulation results using SATURA. Alternatively, the saturation point can be estimated from the open test results. The saturation point estimated should then be inputted in HYSDAT, and the results should be inputted as the current–ﬂux values in the Type 96 device in Step 2. 3.2.2. Step 2: Input of Current–Flux Values The current–ﬂux values derived using the HYSDAT auxiliary routine must be inputted using Type 96 device located in the Branch/Nonlinear library. The current value in steady state is inputted in the CURR section in the Attributes screen of Type 96, while the ﬂux value in steady state is inputted in the FLUX section. For this value, the ﬁrst value in the ﬁrst quadrant of the extracted current–ﬂux values can be inputted. Residual ﬂux can be inputted in RESID. In the Characteristic tab of the Type 96 device, current–ﬂux values are inputted and the current–ﬂux curve is generated by clicking the View button at the bottom of the screen. 3.2.3. Step 3: Power System Modeling When using a Type 96 device, the method for the entire system conﬁguration is the same as shown in Figure 2 except that the Type 98 device is replaced with the Type 96 device. The primary-side leakage resistance and the leakage reactance are located on the left side of the Type 96 device, while a transformer model exists on the right side of the Type 96 device. The transformer model can be selected from among saturable single-phase, saturable three-phase, and BCTRAN models. For a double winding transformer, saturable single-phase and three-phase models are suitable. Meanwhile, saturable three-phase and BCTRAN models can be used for a three-winding transformer. However, since the equivalent circuit of a three-winding transformer is derived based on the star connection, the leakage inductance may become negative based on the transformer test result, thereby resulting in numerical instability. In this case, the BCTRAN model can be used. 3.2.4. Discussion For Method 2, the SATURA auxiliary routine may be used to obtain the saturation point using the Type 96 device. The current–ﬂux values should be derived through the HYSDAT auxiliary routine Appl. Sci. 2019, 9, 2398 6 of 16 using only the saturation point, and the derived values should be inputted in the Type 96 device. Finally, the inrush current simulation can be performed by modeling the entire system. In this method, the process is more complicated than in the previous method. However, the advantage is that the residual ﬂux value, which has a large eect on the transformer inrush current, can be considered. 4. Simulation of Transformer Inrush Current Using 154 kV Transformer Test Report 4.1. Transformer Test Report In this section, an example of transformer inrush current simulation based on Methods 1 and 2 will be described. Table 1 shows the test list in the transformer test report. Table 1. Test list in transformer test report. 1. Structure and Exterior test 12. Insulation strength test of operation and control circuit 1.1. Structure test 13. Noise level 1.2. Exterior test 14. Short circuit test of transformer 2. Turns ratio measurement, polarity test, and angle 14.1. Short circuit test (Primary -Secondary winding) displacement test 2.1. Turns ratio measuremnt 14.2. Short circuit test (Primary -Tertiary winding) 2.1.1. Primary - Secondary winding 14.3. Winding temperature during short circuit test 2.1.2. Primary –Tertiary winding 14.4. Conﬁrmation test after short circuit test 14.4.1. Turns ration measurement, polarity test and 2.1.3. Secondary - Tertiary winding angle displacement test 2.2. Polarity test and angle displacement test 14.4.2. Impedance voltage and full load loss test 3. Impedance voltage and full load loss test 14.4.3. No load loss and excitation current test 4. No load loss and excitation current test 14.4.4. Winding resistance measurement 5. Winding resistance measurement 14.4.5. Power frequency withstand voltage test 14.4.6. Induced withstand voltage test and partial 6. Power frequency withstand voltage test discharge test 7. Induced withstand voltage test and partial 14.4.7. Insulation power factor test discharge test 8. Insulation power factor test 14.4.8. Motor test 14.4.9. Insulation strength test of operation and control 8.1. Phase A circuit 8.2. Phase B 14.4.10. Variation ratio of reactance 8.3. Phase C 14.4.11. Visual inspection after short circuit test 15. Poly Chlorniated Biphenyls (PCB) analysis test in 9. Temperature rise test insulation oil 9.1. Temperature rise test 16. Winding insulation resistance measurement 9.1.1. Primary and Secondary winding 16.1. Before short circuit test 9.1.2. Tertiary winding 16.2. After short circuit test 9.2. Dissolved gas test 17. Frame and core insulation test 10. Lightning impulse withstand voltage test 17.1. Before short circuit test 11. Motor test 17.2. After short circuit test 11.1. Fan power consumption measurement and 18. Conclusion rotating direction test 11.2. On Load Tap Changer (OLTC) operation test The necessary data from the transformer report should be extracted as follows: (1) Turns ratio measurement, polarity test, and angle displacement test (2) Impedance voltage and full-load loss test (3) No-load loss and excitation current test (4) Winding resistance measurement. 4.2. Calculation of Leakage Impedance Using the Results in Test Report To select the appropriate transformer model, the leakage impedance of the transformer must be calculated. Since this transformer is a three-winding transformer, the leakage impedance can be calculated using Equations (1)–(3). Appl. Sci. 2019, 9, 2398 7 of 16 Z = (Z + Z Z ), (1) 1 12 13 23 ( ) Z = Z + Z Z , (2) 2 12 23 13 Z = (Z + Z Z ), (3) 3 13 23 12 where Z : Leakage impedance of primary side; Z : Leakage impedance of secondary side; Z : Leakage impedance of tertiary side; Z : Per-unit leakage impedance measured from winding 1, with wind 2 shorted and winding 3 open; Z : Per-unit leakage impedance measured from winding 1, with wind 3 shorted and winding 2 open; and Z : Per-unit leakage impedance measured from winding 2, with wind 3 shorted and winding 1 open. Based on the calculation method, the value is obtained using Excel as shown in Figure 3. If the values in the red boxes are inputted, the base impedance, equivalent per-unit (pu) impedance, and actual value are calculated. Finally, the values required for the EMTP model are the actual values shown in the green box. The unit is calculated in ohms. Figure 3. Calculation of transformer leakage impedance using Excel. In Figure 3, the equivalent pu impedance of the tertiary side has a negative value; and, hence, the actual value is calculated as the negative value. This means that the equivalent impedance calculated using the measured results has a negative value. However, the actual leakage impedance value is positive. Since the user cannot input negative impedance in the saturable transformer model in EMTP, the BCTRAN model should be used. 4.3. Method 1 4.3.1. Step 1: Estimation of Current–Flux The open circuit test results are inputted into the SATURA auxiliary routine as shown in Figure 4. The execution result is presented in Figure 5. Appl. Sci. 2019, 9, 2398 8 of 16 Figure 4. SATURA input. Figure 5. Simulation result of SATURA. 4.3.2. Step 2: Input of Current–Flux Values Figure 6 shows the input screen of a Type 98 device using the result shown in Figure 5. In this case, only BCTRAN model should be used based on the discussions in Section 4.2. Therefore, the current–ﬂux value cannot be inputted directly into the saturable transformer model. Figure 6. Data input in Type 98 component. Appl. Sci. 2019, 9, 2398 9 of 16 4.3.3. Step 3: Power System Modeling If the negative leakage impedance on the tertiary side calculated in Figure 3 is inputted into saturable three-phase model, the execution is stopped due to numerical instability. Therefore, it is not appropriate to enter the transformer leakage resistance and leakage reactance using the saturable three-phase model. The test data in transformer test report should be inputted using the BCTRAN model. The system modeling using BCTRAN model is shown in Figure 7, where the red part is the BCTRAN transformer model. Since the excitation characteristics are not represented in this model, the corresponding part is added using the Type 98 device as shown in the green part. Figure 7. Power system modeling using BCTRAN. Moreover, the data input screen of BCTRAN is shown in Figure 8. The results of the open circuit test and the short circuit test are inputted. The winding on which the open circuit test had been performed can be set at “Performed at” and “Connect at” in BCTRAN model. Therefore, the Type 98 device should be connected in the same manner as set here. Since the transformer test data used in this paper was performed on the secondary side, the LV winding is selected and the Type 98 device is connected to the secondary side. Figure 8. BCTRAN input. 4.3.4. Simulation Results Figure 9 shows the simulation result of the inrush current. Figure 9a shows the current ﬂowing in the primary side of the transformer. After energizing the transformer at 0.1 s, a DC oset waveform is generated. As the time passes, the current magnitude decays and becomes closer to the rated current. Figure 9b shows the magnetizing current. The typical inrush current waveform larger than the rated Appl. Sci. 2019, 9, 2398 10 of 16 current with DC oset and harmonics is observed. Figure 9c shows the frequency analysis of the current ﬂowing in the primary side of the transformer. It shows a typical form of inrush current with second harmonics. Figure 9. Simulation results. (a) Current ﬂowing in the primary side of the transformer; (b) magnetizing current; and (c) frequency analysis. Figure 9 shows the typical characteristics of inrush current with DC osets having a magnitude larger than the rated current and a rich second harmonic. Therefore, the simulation process using Method 1 is appropriate. Appl. Sci. 2019, 9, 2398 11 of 16 4.4. Method 2 4.4.1. Step 1: Estimation of Current–Flux To input the current–ﬂux values in HYSDAT, the saturation point should be selected. Based on the results in Figure 5, this paper sets the saturation point as (62.6, 54.799). This value is inputted in HYSDAT as shown in Figure 10. The simulation result is presented in Figure 11. Figure 10. HYDSAT input. Figure 11. Simulation result of HYSDAT. 4.4.2. Step 2: Input of Current–Flux values Figure 12 shows the input screen of the Type 96 device using the simulation results of Figure 11. Appl. Sci. 2019, 9, 2398 12 of 16 Figure 12. Data input in Type 96 component. 4.4.3. Step 3: Power System Modeling Based on the same reason in Method 1, only the BCTRAN model should be used. The modeling method using BCTRAN is similar to the method shown in Figure 7. However, it is necessary to change the Type 98 device to a Type 96 device. 4.4.4. Simulation Results The simulation results of inrush current by Method 2 are shown in Figure 13. Figure 13a shows the current ﬂowing in the primary side of the transformer. It has a DC oset after energizing the transformer at 0.1 s. However, this DC oset decreases with time and the rated current eventually ﬂows. Figure 13b shows the magnetization current waveform with DC oset and harmonics. Figure 13c is the frequency analysis result of Figure 13a, which contains a large second harmonic. On the other hand, Figures 9 and 13 show the typical characteristics of inrush current with DC osets having a larger magnitude and second harmonic than the rated current. Therefore, the simulation process using Method 2 is appropriate. In Figures 9 and 13, the maximum value of the current ﬂowing in the primary side of the transformer is slightly dierent. The results in Figure 9 do not consider the residual magnetic ﬂux since the current–ﬂux curve passes through (0, 0). However, the results in Figure 13 consider the residual ﬂux. Therefore, the magnitude of the inrush current is larger because the hysteresis curve that passes through (0, 47) is inputted. In this paper, the simulations of inrush current are performed for a simple power system. The Methods 1 and 2 presented in this paper can be applied to complex power systems such as an Institute of Electrical and Electronics Engineers (IEEE) test system [22–24]. Appl. Sci. 2019, 9, 2398 13 of 16 Figure 13. Simulation results. (a) Current ﬂowing in the primary side of the transformer; (b) magnetizing current; and (c) frequency analysis. 4.5. Discussion The test result of the inrush current cannot be obtained in the test report. Therefore, the simulation results cannot be compared with ﬁeld test results. Meanwhile, the absolute value of residual ﬂux can be quite dierent from one transformer to another. Its true nature has not been experimentally clariﬁed because the ﬂux values in the transformer core cannot be measured directly and ﬁeld tests cannot be easily conducted [25–27]. However, [28,29] conducted the ﬁeld test of inrush current. In , Appl. Sci. 2019, 9, 2398 14 of 16 the Subestacao Eunapolis in Brazil was selected to be the site test due to an experienced undesired trip of the transformer of a neutral overcurrent protection during the energizing of one of the three parallel transformers. In , Korea Electric Power Corporation conducted the ﬁeld test of inrush current at 765 kV transmission lines because they did not conduct the long-term ﬁeld test for the substation equipment. References [28,29] performed ﬁeld tests in actual transmission lines based on the requirements of the electric power corporation such as undesired operation and deterioration of electric facilities. Thus, the studies on inrush current have been performed using simulations. In this paper, data from ‘2. Turns ratio measurement, polarity test, and angle displacement test’, ‘3. Impedance voltage and full-load loss test’, ‘4. No-load loss and excitation current test’, and ‘5. Winding resistance measurement’ in Table 1 were used for simulations. Therefore, the actual characteristic of the transformer inrush current was considered in our simulations. In addition, although the simulation results cannot be compared with the ﬁeld test results, the simulations using actual parameters are well performed based on the analysis of the simulation results presented in Sections 4.2 and 4.3. 5. Conclusion Since EMTP provides several transformer models and a large amount of information exists in the transformer test data, it is dicult for the power system operator to simulate the transformer inrush current directly. Therefore, this paper establishes the simulation process of the transformer inrush current using EMTP so that any power system operator can easily perform it. The method presented in this paper consists of three steps: (1) Estimation of current–ﬂux values, (2) input of current–ﬂux values, and (3) power system modeling. In this paper, the methods of inputting current–ﬂux values are explained in detail in each step. An example of transformer inrush current simulation using actual 154 kV transformer test report data is described by applying these methods. Thus, both Method 1 and 2 in this paper can be utilized to simulate the transformer inrush current. However, it is recommended to apply Method 2 if the actual transformer contains a large amount of residual magnetic ﬂux; otherwise, either Method 1 or Method 2 may be applied. When the mal-operation of the protection relay occurs in actual power systems due to a very large inrush current, the power system operator will attempt to identify this problem and provide solutions. Since the inrush current of the transformer cannot be actually tested, the problem can be solved using computer simulation. If the power system operator has no experience with inrush current simulations and does not understand the well-organized simulation method, it will take a long time to provide a solution. Therefore, the simulation process described in this paper can aid the power system operator in analyzing the problem using inrush current simulation in a short time and developing a solution to achieve stable power system operation. Author Contributions: H.-C.S. conceived, designed, and performed the experiments. H.-C.S. and G.-H.G. analyzed the data and wrote the paper. Funding: This work was supported by a 2019 Yonam Institute of Technology grant. Conﬂicts of Interest: The authors declare no conﬂict of interest. References 1. Wencong, W.; Tianyao, J.; Mengshi, L.; Qinghua, W. 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Multidisciplinary Digital Publishing Institute
Systematization of the Simulation Process of Transformer Inrush Current Using EMTP
, Volume 9 (12) –
Jun 12, 2019
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