Management of Smart Switchboard Placement to Enhance Distribution System Reliability

: One way of handling short-time short-circuits without causing equipment failure is the management of the reclose function integrated into smart switchboard which is described in this article. Due to the cost of the application, the optimal placement of such equipment must be well-planned. During the planning of the placement optimization of a low-voltage electricity network quality, the increase of the consumer supply security must be considered along with the best economic utilization. The research presented in this article aims to introduce a new special decision support methodology calculated with these variables. The management of smart switchboard (SSB) tool installation into low voltage (LV) network was investigated. The selection of the placement nodes is based on the complex investigation of the network characteristics. Investigation is performed by empiric analysis. This method can support the power companies to make the optimal decision. The presented new device can have outstanding importance for the electric industry and for further research as no testing results of such investigations have been published yet.


Introduction
There is a lot of attention paid to increasing energy efficiency. Batkovskiv at al. [1] analyzes efficiency of industrial management, while other authors, such as Kita et al. [2], tackle the relevance of used business models. Gerasimov et al. [3] see energy efficiency as one of driving forces towards competitiveness. Sagiyeva et al. [4] emphasizes intellectual input. Mikhaylov et al. [5] similarly stress role of innovation. Other authors claim that state plays important role in creating favourable conditions e.g., [6][7][8][9][10].
The availability of innovative technological solutions undoubtedly is a precondition of energy efficiency.
In view of the need to improve the energy efficiency and reliability of the distribution system, innovation is needed, such as the implementation of a smart switchboard to an existing distribution reliability indices. Lopéz et al. [17] address the problem of electrical distribution system reconfiguration while considering minimizing overall active power losses and improving customer-oriented reliability indices. The enhancement of power system distribution reliability using ant colony optimization and simulated annealing methods is presented in paper [18]. Sekhavatmanesh et al. [19] presents optimal infrastructure planning for active distribution networks meeting service renewal requirements. Narimani et al. [20] provides a framework for the allocation of a central electricity storage facility (EES) in discrete communities, which is created as segmentation along rural energy supplies where the installation of cross connectors is not economical or even feasible. Modeling of the impact of automation failure on distribution system reliability is presented in paper [21]. Reinders [22] focuses on the reliability of electricity supply at three different locations in Indonesia by comparing reported energy reliability indices (SAIFI and SAIDI). A common FLISR approach is to use error indicator (FI) signals with distribution network states [23].

The Smart Switchboard
The smart switchboard (SSB) developed by AD&TE is a low voltage distribution switchboard which, under the described maintenance and operational circumstances during its entire life cycle and without the partial or total change of the equipment, interrupts the overcurrent or the short-circuit current up to the value defined by the manufacturer, compliant to the applicable standards. The SSB detects the overcurrent with the combined usage of the local measure-and evaluation system [24]. The operation happens according to the predefined current-time curve. The equipment is remote, thus the existence of tension (yes/no) at each measuring point, the effective and inefficient current components, the tension and the calculated performance data based on tension-with the application of the security protocols in the related standards-is forwarded to a centre by using wireless communication. The SSB can be operated remotely, accordingly, it is suitable for performing remote switching operations. In order to the secure feasibility of the planned tasks the remote operation can be blocked in-site and has visible breakdown point and earthing possibility. The equipment also has an automatic reclosing function (VKA), i.e., it is suitable based on set-up parameters to run one or more reclosing cycle. As a consequence of the definition, the realization of the SSB concept requires the change of the currently used fuses to circuit breakers.

The Reclose Function of the SSB
In the case of the reclose function being turned-on, the circuit breaker recloses in a predetermined time after the protection operation. If the protection still senses short-circuit then the circuit breaker re-opens. In another predetermined time the automation recloses again the circuit breaker's contacts. Thus, the automation tries to switch on twice (2 cycles). If the short-circuit is still on, this drives to final lock out. The operation of that methodology can be seen on Figure 1. considering minimizing overall active power losses and improving customer-oriented reliability 98 indices. The enhancement of power system distribution reliability using ant colony optimization and 99 simulated annealing methods is presented in paper [18]. Sekhavatmanesh et al. [19] presents optimal 100 infrastructure planning for active distribution networks meeting service renewal requirements.
(EES) in discrete communities, which is created as segmentation along rural energy supplies where the installation of cross connectors is not economical or even feasible. Modeling of the impact of 104 automation failure on distribution system reliability is presented in paper [21]. Reinders [22]

113
The SSB detects the overcurrent with the combined usage of the local measure-and evaluation system 114 [24].

132
The introduction of the reclose function into the LV network would result optimal usage of the 133 electricians' working time (instead of going out to the failure's location, the electrician may perform The introduction of the reclose function into the LV network would result optimal usage of the electricians' working time (instead of going out to the failure's location, the electrician may perform other works), and the time period of LV failures due to temporary short-circuits would be reduced [25]. The quality indicators of the electric power supply can be improved by the decrease of the time period of short-circuits.

SAIDI and SAIFI
The quality of electric power supply is described and supervised by the Hungarian Energetics and Utility Regulatory Office (MEKH) based on two quality indicators. One of these two indicators in the Hungarian professional literature is known as MEH 1 indicator, while in the international environment it is called system average interruption frequency index (SAIFI) [26]. The other indicator in the domestic literature is MEH 2, while internationally is called System Average Interruption Duration Index (SAIDI). MEKH may levy a penalty in the absence of the expected quality for the two internationally accepted indicators [27]. Due to the fact that both indicators contain the multiplication of i) the number of consumers affected by the malfunction and ii) the length of malfunction, the research group appointed this multiplication as the index number used during the research.

Efficiency of the Smart Switchboard's Reclose Function
SSB tool would not be located at all nodes of LV network. The reason for this is that the installation of equipment valued over 1000 € (at current prices) is not economic at each node of the network. Therefore, it is necessary to determine at which nodes of the network the installation of the SSB equipment would be the most effective. The selection of the nodes is based on the complex investigation of the network characteristics. The AD&TE research group performed this test by empiric analysis: those cases of such malfunctions in a five-year time period at ELMŰ-ÉMÁSZ power supplier were detected that could have been eliminated by SSB [28]. During the analysis, the research group could determine with 91.13% certainty on all failures on the service area of ELMŰ-ÉMÁSZ between 2012 and 2017 (based on model calculations by the application of random forest and N-folds processes) whether it could be eliminated by the usage of SSB.
The main goal of the test was to figure out that how much profit would have been reached above a certain affected consumer number (consumer, C) by the installation of SSB. For example, if SSB would have been installed to all such nodes where the failure would have affected minimum 100 consumers. Another important parameter at the testing of the efficiency of SSB that how many such nodes exist (cumulative device number, CDN). The analysis provided two series of data as a final result: the correlation between the cumulated device number and the failure affected consumer number, as well correlation between the consumer number and SAIDI index [29]. The data series cannot be used further in their raw form, i.e., a function must be applied to them. The result of the function application is a new data representation which can be used during further researches and also by the electric industry [30].

Input Data of the Function Fitting to the Data Series
The task is to apply a function to the consumer number-cumulated device number (consumer-cumulated device number, C-CDN), as well to the consumer number-SAIDI (consumer-SAIDI, C-SAIDI) data series.

Establish of C-CDN Data Table
For the formation of the data table, the affected consumer numbers were highlighted based on the reports on the failures. These consumer numbers were sorted in reverse order, in such a way that the failure that affected the most consumers was put into the first record of the data table. After this, the appearances of each consumer number were summarized [31][32][33]. The summary provided the result that, e.g., two-consumer-affected, SSB positive failure cases (i.e., the failure could have been eliminated by SSB) were altogether 2812, three-consumer-affected were 856, etc. In total, 342 different consumer numbers were added to the Table 1. After the determination of device numbers connected to the consumer numbers, the device numbers were cumulated ( Table 2). Table 2. Main characteristics of consumer number and device number data series.

ConsNum
DevNum CumDev Plotted on a graph, these data can be seen in Figure 2. Figure 2 illustrates the device number (vertical) in the function of consumer numbers (horizontal).

186
Plotted on a graph, these data can be seen in Figure 2. Figure 2 illustrates the device number

187
(vertical) in the function of consumer numbers (horizontal).

188
The prior consumer number (C) table is used for the formation of Table 3.  The prior consumer number (C) table is used for the formation of Table 3. For the determination of SAIDI indicator connected to them, the outage minutes (P) are aggregated before the consumer numbers are multiplied by the given minutes (CxM). The results are accumulated along with the consumer number (SAIDI). The received result is shown in Figure 3

Methods of the Function Fitting to the Data Series
The approximate function of data series can be determined by polynomial regression or a non-linear approach method. The polynomial regression method results in a n-degree equation. The non-linear approach method based on a predefined function generates the parameters of the most matching function by the iteration.

Function Alignment to the C-CDN Data Series by Polynomial Regression
During the analysis of the alignment of n-degree regression functions, several cases were compared from 1 (fv1) to 20-degree (fv20) solutions ( Figure 4). The 20-degree was enough at the analysis of both correlations [34]. During the comparison, the R 2 values provided by the functions were tested. R 2 index improves with the increase of function degree in the interval between fv1 (0.2714507) and fv20 (0.9997714). Figure 5 shows the second degrees polynomic alignment to the costumer's number and device data series.

203
During the analysis of the alignment of n-degree regression functions, several cases were 204 compared from 1 (fv1) to 20-degree (fv20) solutions ( Figure 4). The 20-degree was enough at the 205 analysis of both correlations [34]. During the comparison, the R 2 values provided by the functions 206 were tested. R 2 index improves with the increase of function degree in the interval between fv1 207 (0.2714507) and fv20 (0.9997714). Figure 5 shows the second degrees polynomic alignment to the  Thus, the sum of the differences between the function calculated value and the real value is the 222 lowest at fv14. Accordingly, fv14 is the best alignment when using polynomial regression (see on 223 Table 4).

226
The first step of non-linear method is the para-metered description of such a function that 227 approaches the investigated data series. For this purpose (Equation (1)  In the case of a higher degree, it may occur that the software cannot calculate any values for the coefficients of the regression function due to the few data. Such coefficients were the 13., 15. and 20. at fv20. In case of these functions the R 2 index still may improve, in the current case this improves, in theory it fits better to the given series of dots, however, the result from statistical point of view is not reliable. Accordingly, such cases are excluded from further testing. Such a function is chosen where the absolute value of the sum of the residuals is the lowest.
Thus, the sum of the differences between the function calculated value and the real value is the lowest at fv14. Accordingly, fv14 is the best alignment when using polynomial regression (see on Table 4).

Function Alignment to the C-CDN Data Series by Non-Linear Method
The first step of non-linear method is the para-metered description of such a function that approaches the investigated data series. For this purpose (Equation (1)) function expanded by 4 parameters (Equation (2)) is applied: where x and y are the variables, and p 2 , p 3 and p 4 is adjustable parameters. For the best alignment, the parameters are searched by non-linear optimization function (nlsLM) by R software. During the nlsLM iteration process, the software aligns the function to the dot series and finds the best fit solution with the continuous modification of the parameters using the Levenberg-Marquardt type algorithm [35]. Multiple iterations were performed when using the method. Firstly, the approximate value of the parameters was determined by the usage of nlsLM function, in a 50-step iteration. In the next round, these values were the input data for the nlsLM function. The experiment was run in 100 steps/rounds, accordingly the result was refined by a kind of Monte Carlo method. This was necessary, as the R algorithm performs only certain number of iteration cycle ( Figure 6) where the number of rounds represented horizontally, while the cumulated fault vertically. As shown in Figure 6, running more iterations would not result in a continuous improvement of the results. The solution providing the least cumulated fault was chosen as the final outcome of the iterations.

245
With the assistance of the above described method, the correlation between C and CDN 246 variables is demonstrated by a ten-degree polynomic function: where y is device number, and x is the consumer number.

253
With the assistance of the above described method, the correlation between the two variables is 254 demonstrated by a twelve-degree polynomic function (z = SAIDI, x = consumer number): where z is SAIDI and x is the consumer number.

256
All coefficients of the function are statistically significant, and the function result explains 99.97%

257
of the original data series. Figure 7 shows the C-CDN data series and the C-CDN function.
258 Figure 6. Cumulated faults of results of iteration of alignment to C-CDN data series.

The C-CDN Function
With the assistance of the above described method, the correlation between C and CDN variables is demonstrated by a ten-degree polynomic function: where y is device number, and x is the consumer number.
All coefficient of the function is statistically significant, and the function result explains the original data series in 99.93%. From a data analysis point of view, the function explains the result, and the correlation described by the parameters can be verified in the consumer number-device number function.
All coefficients of the function are statistically significant, and the function result explains 99.97% of the original data series. Figure 7 shows the C-CDN data series and the C-CDN function. Energies 2020, 1, x FOR PEER REVIEW 9 of 13 In the case of C-SAIDI and C-CDN, the divergence proportion between the function and the data 264 series is higher by moving towards the extreme values. The reason for this is that fewer data are 265 available at these points, and therefore the polynomial method provides a less exact alignment.   From a data analysis point of view, the function explains the result, and the correlation described by the parameters can be verified in the consumer number (horizontal) and SAIDI (vertical) function.

Limits
In the case of C-SAIDI and C-CDN, the divergence proportion between the function and the data series is higher by moving towards the extreme values. The reason for this is that fewer data are available at these points, and therefore the polynomial method provides a less exact alignment. Figures 8 and 9 illustrate SAIDI (vertical) in the function of device number (horizontal).

290
If there is not enough data available at individual points (nodes), the polynomial method gives 291 less accurate results. As a result, the divergence difference between the function and the data series 292 is higher and thus shifts towards the extreme.

293
Although the significance level of the study is not 100%, it is scientifically and practically 294 acceptable. The study is based on a complete multiannual dataset of a power company (ELMŰ-295 Figure 9. The original C-SAIDI data series (blue dots) and the C-SAIDI function (red line) and the difference between them (h) (green line, H).
It may happen that the regression function "hides" certain phenomena. Such phenomena can be, for example, sudden changes, or outstanding data which do not require further testing due to the magnitude of deviations.

New Data Representation of the Efficiency of the of the Smart Switchboard's Reclose Function
In Figure 10 it can be seen that, for example, in the case of choosing 50 consumers (C axis), i.e., SSB switchboard would be installed into all nodes where, if failure occurs, 50 or more consumers would be affected, 2 min SAIDI improvement could be reached at the Hungarian ELMŰ-ÉMÁSZ power supplier. Based on Figure 10, to reach this result, equipment should be installed.

277
In Figure 10 it can be seen that, for example, in the case of choosing 50 consumers (C axis), i.e.,

290
If there is not enough data available at individual points (nodes), the polynomial method gives 291 less accurate results. As a result, the divergence difference between the function and the data series 292 is higher and thus shifts towards the extreme.

293
Although the significance level of the study is not 100%, it is scientifically and practically

Discussion
The parameters of functions received during the iterations are not in all cases statistically significant (at the chosen function p 2 has less than 90% significance level). The fault amount of the most aligned, less cumulated fault provided function obtained by the iterations was 84.588 which is almost the double of the best fault amount reached by the polynomial regression. Therefore, the polynomial regression was selected as testing tool of the correlation between the variables.
If there is not enough data available at individual points (nodes), the polynomial method gives less accurate results. As a result, the divergence difference between the function and the data series is higher and thus shifts towards the extreme.
Although the significance level of the study is not 100%, it is scientifically and practically acceptable. The study is based on a complete multiannual dataset of a power company (ELMŰ-ÉMÁSZ). Given that deeper and more valid data sets are very difficult to access, this is one of the most comprehensive studies that has been completed. Further testing of this database may be required in the future to reduce the error. The research team will investigate this in the future, but it is already accurate enough for power companies to determine the number of SSBs to install.
The structure of European electricity networks is the same. For this reason, the analysis of the ELMŰ-ÉMÁSZ network can be applied across Europe and on any other grid where the structure is similar to that of Europe.

Conclusions
In recent years, much innovative equipment has appeared in medium and high voltage networks. These remote controls are widely referred to as smart devices. Nowadays, in many places (in Hungary, for example) these smart devices are installed in networks. However, today, there are few new and innovative solutions that science or developers would not have thought of and that could really help power companies reduce the effects of power outages.
The low-voltage distribution network is undervalued, despite the fact that it causes quite a few faults, and consequently power outages.
The device presented in this article proves to fill a niche, as there are no similar devices for the low-voltage network yet. While smart metering and smart transformer devices exist, there has been no hardware between them, i.e., a smart switchboard.
However, it is not enough to introduce a new device, it is also necessary to examine its effectiveness. The purpose of the research presented in this article was to illustrate this. The investment need and the utility ratio can be presented for the power companies by the results of this research. For the power companies, the utility is the presented SAIDI indicator, which correlated to the quality of the services.
For future research in this field, it is very important to utilize a sufficient amount of data for all points. This way, we can minimize inaccuracies in analyses and reduce the number of iterations needed to determine the most suitable location for the installation of the smart switchboard designed by our research group. A very important task is the editing of raw data from distribution system to "usable" form. In our case, we use a function fitted to our data types from ELMŰ-ÉMÁSZ. However, different distribution system operators may have different types of data. For all type of data need to be applied different function. Future study can be focused on the proposal of different methods for big data processing. The results of this work will be used for the effective implementation of smart switchgears into distribution power systems.