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31 pages, 10483 KiB  
Article
Optimal Coordination of Directional Overcurrent Relays Using an Innovative Fractional-Order Derivative War Algorithm
by Bakht Muhammad Khan, Abdul Wadood, Herie Park, Shahbaz Khan and Husan Ali
Fractal Fract. 2025, 9(3), 169; https://doi.org/10.3390/fractalfract9030169 - 11 Mar 2025
Viewed by 68
Abstract
Efficient coordination of directional overcurrent relays (DOCRs) is vital for maintaining the stability and reliability of electrical power systems (EPSs). The task of optimizing DOCR coordination in complex power networks is modeled as an optimization problem. This study aims to enhance the performance [...] Read more.
Efficient coordination of directional overcurrent relays (DOCRs) is vital for maintaining the stability and reliability of electrical power systems (EPSs). The task of optimizing DOCR coordination in complex power networks is modeled as an optimization problem. This study aims to enhance the performance of protection systems by minimizing the cumulative operating time of DOCRs. This is achieved by effectively synchronizing primary and backup relays while ensuring that coordination time intervals (CTIs) remain within predefined limits (0.2 to 0.5 s). A novel optimization strategy, the fractional-order derivative war optimizer (FODWO), is proposed to address this challenge. This innovative approach integrates the principles of fractional calculus (FC) into the conventional war optimization (WO) algorithm, significantly improving its optimization properties. The incorporation of fractional-order derivatives (FODs) enhances the algorithm’s ability to navigate complex optimization landscapes, avoiding local minima and achieving globally optimal solutions more efficiently. This leads to the reduced cumulative operating time of DOCRs and improved reliability of the protection system. The FODWO method was rigorously tested on standard EPSs, including IEEE three, eight, and fifteen bus systems, as well as on eleven benchmark optimization functions, encompassing unimodal and multimodal problems. The comparative analysis demonstrates that incorporating fractional-order derivatives (FODs) into the WO enhances its efficiency, enabling it to achieve globally optimal solutions and reduce the cumulative operating time of DOCRs by 3%, 6%, and 3% in the case of a three, eight, and fifteen bus system, respectively, compared to the traditional WO algorithm. To validate the effectiveness of FODWO, comprehensive statistical analyses were conducted, including box plots, quantile–quantile (QQ) plots, the empirical cumulative distribution function (ECDF), and minimal fitness evolution across simulations. These analyses confirm the robustness, reliability, and consistency of the FODWO approach. Comparative evaluations reveal that FODWO outperforms other state-of-the-art nature-inspired algorithms and traditional optimization methods, making it a highly effective tool for DOCR coordination in EPSs. Full article
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<p>IEEE 3 bus electrical power network with DOCR coordination.</p>
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<p>Proposed methodology (FODWO) workflow.</p>
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<p>Attack strategy in WSO.</p>
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<p>Single-line diagram of IEEE three bus test system.</p>
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<p>Convergence graph (test system 1).</p>
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<p>Total net gain by FODWO compared to other algorithms (test system 1).</p>
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<p>Percentage net time gain obtained by FODWO against other algorithms (test system 1).</p>
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<p><math display="inline"><semantics> <mrow> <msub> <mrow> <mi>T</mi> </mrow> <mrow> <mi>o</mi> <mi>p</mi> </mrow> </msub> </mrow> </semantics></math> for DOCRs obtained for different algorithms (test system 1).</p>
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<p>Statistical evaluation for IEEE three-bus system (test system 1): (<b>a</b>) CDF, (<b>b</b>) boxplot, (<b>c</b>) minimum fitness, and (<b>d</b>) quantile-quantile plot.</p>
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<p>Single-line diagram of IEEE eight-bus configuration.</p>
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<p>Convergence characteristic for WO and FODWO for IEEE eight-bus system.</p>
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<p>Total net gain by FODWO compared to other algorithms (test system 2).</p>
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<p>Percentage net time gain obtained by FODWO against other algorithms (test system 2).</p>
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<p><math display="inline"><semantics> <mrow> <msub> <mrow> <mi>T</mi> </mrow> <mrow> <mi>o</mi> <mi>p</mi> </mrow> </msub> <mo> </mo> </mrow> </semantics></math> of DOCRs obtained for different algorithms (test system 2).</p>
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<p>Statistical evaluation for IEEE eight-bus system (test system 2): (<b>a</b>) CDF, (<b>b</b>) boxplot, (<b>c</b>) minimum fitness, and (<b>d</b>) quantile-quantile plot.</p>
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<p>Single-line diagram of IEEE 15-bus configuration.</p>
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<p>Convergence characteristic for WO and FODWO for IEEE 15-bus system.</p>
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<p>Total net gain by FODWO compared to other algorithms (test system 3).</p>
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<p>Percentage net time gain by FODWO against other algorithms (test system 3).</p>
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<p><math display="inline"><semantics> <mrow> <msub> <mrow> <mi>T</mi> </mrow> <mrow> <mi>o</mi> <mi>p</mi> </mrow> </msub> </mrow> </semantics></math> of DOCRs for different algorithms (test system 3).</p>
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<p>Statistical evaluation for IEEE fifteen-bus system (test system 3): (<b>a</b>) CDF, (<b>b</b>) boxplot, (<b>c</b>) minimum fitness, and (<b>d</b>) quantile-quantile plot.</p>
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31 pages, 4661 KiB  
Article
A Novel Application of Fractional Order Derivative Moth Flame Optimization Algorithm for Solving the Problem of Optimal Coordination of Directional Overcurrent Relays
by Abdul Wadood and Herie Park
Fractal Fract. 2024, 8(5), 251; https://doi.org/10.3390/fractalfract8050251 - 25 Apr 2024
Cited by 6 | Viewed by 1608
Abstract
The proper coordination of directional overcurrent relays (DOCRs) is crucial in electrical power systems. The coordination of DOCRs in a multi-loop power system is expressed as an optimization problem. The aim of this study focuses on improving the protection system’s performance by minimizing [...] Read more.
The proper coordination of directional overcurrent relays (DOCRs) is crucial in electrical power systems. The coordination of DOCRs in a multi-loop power system is expressed as an optimization problem. The aim of this study focuses on improving the protection system’s performance by minimizing the total operating time of DOCRs via effective coordination with main and backup DOCRs while keeping the coordination constraints within allowable limits. The coordination problem of DOCRs is solved by developing a new application strategy called Fractional Order Derivative Moth Flame Optimizer (FODMFO). This approach involves incorporating the ideas of fractional calculus (FC) into the mathematical model of the conventional moth flame algorithm to improve the characteristics of the optimizer. The FODMFO approach is then tested on the coordination problem of DOCRs in standard power systems, specifically the IEEE 3, 8, and 15 bus systems as well as in 11 benchmark functions including uni- and multimodal functions. The results obtained from the proposed method, as well as its comparison with other recently developed algorithms, demonstrate that the combination of FOD and MFO improves the overall efficiency of the optimizer by utilizing the individual strengths of these tools and identifying the globally optimal solution and minimize the total operating time of DOCRs up to an optimal value. The reliability, strength, and dependability of FODMFO are supported by a thorough statistics study using the box-plot, histograms, empirical cumulative distribution function demonstrations, and the minimal fitness evolution seen in each distinct simulation. Based on these data, it is evident that FODMFO outperforms other modern nature-inspired and conventional algorithms. Full article
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<p>DOCR coordination in an electrical power network.</p>
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<p>Graphical representation of proposed methodology.</p>
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<p>Single line diagram of IEEE 3-bus system.</p>
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<p>Convergence characteristic graph case 1.</p>
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<p>Comparative analysis of net improvement in total operating time (s).</p>
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<p>Comparative analysis in percentage improvement in net gain compared to other algorithms for IEEE 3-bus system.</p>
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<p>Optimized total operating time: FODMFO vs. literature for IEEE 3-bus system.</p>
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<p>Single-line diagram of IEEE 8-bus system.</p>
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<p>Convergence characteristics for MFO and FODMFO for IEEE 8-bus system.</p>
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<p>Comparative analysis of net improvement in total operating time (s), IEEE 8-bus system.</p>
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<p>Comparative analysis of percentage improvement in net gain compared to other algorithms, IEEE 8-us system.</p>
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<p>Optimized total operating time: FODMFO vs. literature for IEEE 8-bus system.</p>
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<p>Single-line diagram of IEEE 15-bus system.</p>
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<p>Convergence characteristics for MFO and FODMFO for IEEE 15-bus system.</p>
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<p>Comparative analysis of net improvement in total operating time (s) for IEEE 15-bus system.</p>
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<p>Comparative analysis in percentage improvement in net gain compared to other algorithms IEEE 15-bus system.</p>
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<p>Optimized total operating time: FODMFO vs. literature for IEEE 15-bus system.</p>
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<p>FODMFO comparison with MFO during time of operation minimization in MINLP model of IEEE 15-bus system. (<b>a</b>) CDF; (<b>b</b>) box-plot illustration; (<b>c</b>) histogram; (<b>d</b>) quantile–quantile plot; (<b>e</b>) minimum fitness.</p>
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30 pages, 1909 KiB  
Article
Evaluation of Two Self-Fitting User Interfaces for Bimodal CI-Recipients
by Sven Kliesch, Josef Chalupper, Thomas Lenarz and Andreas Büchner
Appl. Sci. 2023, 13(14), 8411; https://doi.org/10.3390/app13148411 - 20 Jul 2023
Cited by 3 | Viewed by 1207
Abstract
Smartphones are increasingly being used to enable patients to play an active role in managing their own health through applications, also called apps. The latest generation of sound processors for cochlear implants offer Bluetooth connectivity that makes it possible to connect smartphones or [...] Read more.
Smartphones are increasingly being used to enable patients to play an active role in managing their own health through applications, also called apps. The latest generation of sound processors for cochlear implants offer Bluetooth connectivity that makes it possible to connect smartphones or tablets and thus enable patients to modify their hearing sensation or measure system parameters. However, to achieve a high adoption rate and secure operation of these applications, it is necessary to design intuitive user interfaces (UI) for end users. The main goal of the current study was to evaluate the usability of two different UIs. A second goal was to compare the hearing outcomes based on the patient’s adjustments. The two different UIs were explored in a group of adult and older adult bimodal cochlear-implant users, with adjustments possible for both the cochlear implant and the contralateral hearing aid. One of the UIs comprised a classical equalizer and volume-dial approach, while the second UI followed a 2D-Surface concept, to manipulate the corresponding sound parameters. The participants changed their fitting parameters using both UIs in seven different sound scenes. The self-adjusted settings for the different scenarios were stored and recalled at a later stage for direct comparison. To enable an assessment of reliability and reproducibility, the self-adaptation was also repeated for two of the seven sound scenes. Within minutes, the participants became accustomed to the concept of both UIs and generated their own parameter settings. Both UIs resulted in settings that could be considered similar in terms of spontaneous acceptance and sound quality. Furthermore, both UIs showed high reliability in the test–retest procedure. The time required for adjustment was significantly shorter with the 2D-Surface UI. A closer look at the bimodal aspect shows that participants were able to compensate for differences in loudness and frequencies between the cochlear implant and the hearing aid. The blind comparison test showed that self-adjustment led to a higher acceptance of the sound perception in more than 80% of the cases. Full article
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<p>(<b>left</b>) Audiograms of all 18 participants for the HA side (dashed lines), as well as the mean (continuous line) of all participants. (<b>right</b>) Audiograms of all 18 participants as boxplot with the 25th and 75th quartile, as well as the median value and the mean (continuous line) of all participants.</p>
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<p>(<b>a</b>) The 2D-Surface user interface with its two movable pointers for the settings of each side and the possibility to switch between left, right, and coupled mode. (<b>b</b>) The EQ user interface is shown with its four sliders for the settings and the possibility to switch between left, right, and coupled mode.</p>
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<p><b><math display="inline"><semantics><mi mathvariant="bold">δ</mi></semantics></math> Gains for the 2D-Surface UI:</b> Example of the gain curve for different point positions <math display="inline"><semantics><mrow><mi>p</mi><msub><mi>p</mi><mi>x</mi></msub></mrow></semantics></math> along the x-axis with a fixed value for <math display="inline"><semantics><mrow><mi>p</mi><msub><mi>p</mi><mi>y</mi></msub></mrow></semantics></math> = 0.5. While <math display="inline"><semantics><mrow><mi>p</mi><msub><mi>p</mi><mi>x</mi></msub><mo>=</mo><mo>−</mo><mn>1</mn></mrow></semantics></math> gives maximum attenuation of the high frequencies, <math display="inline"><semantics><mrow><mi>p</mi><msub><mi>p</mi><mi>x</mi></msub><mo>=</mo><mn>1</mn></mrow></semantics></math> results in maximum amplification of the high frequencies.</p>
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<p><b>Study procedure:</b> The flow of the study appointments, from top to bottom.</p>
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<p><b>Final Positions EQ UI:</b> Violin plot of all final positions (<span class="html-italic">n</span> = 18) for every slider of the EQ UI in the different sound conditions: soft speech (soft sp), middle-loud speech in quiet (med sp), loud speech in noise (loud sp), classic music (cla mus), pop music (pop mus), entrance hall (ent hall), and beside a busy street (str). The black line shows the mean value and the black point the median value.</p>
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<p><b>Final Positions 2D-Surface UI:</b> Violin Plot of all final positions (<span class="html-italic">n</span> = 18) for both directions <math display="inline"><semantics><mrow><mi>p</mi><msub><mi>p</mi><mi>x</mi></msub></mrow></semantics></math> and <math display="inline"><semantics><mrow><mi>p</mi><msub><mi>p</mi><mi>y</mi></msub></mrow></semantics></math> of the point in the 2D-Surface UI for all sound conditions: soft speech (soft sp), middle-loud speech in quiet (med sp), loud speech in noise (loud sp), classic music (cla mus), pop music (pop mus), entrance hall (ent hall), and beside a busy street (str). The black line shows the mean value and the black point the median value.</p>
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<p><b>Mean KDE for EQ:</b> The resulting <math display="inline"><semantics><mrow><mi>K</mi><mi>D</mi><msub><mi>E</mi><mrow><mi>m</mi><mi>e</mi><mi>a</mi><mi>n</mi></mrow></msub></mrow></semantics></math> for each slider in each condition and device. The vertical line marks the averaged final position for all 18 participants.</p>
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<p><b>Mean KDE for 2D-Surface:</b> The resulting <math display="inline"><semantics><mrow><mi>K</mi><mi>D</mi><msub><mi>E</mi><mrow><mi>m</mi><mi>e</mi><mi>a</mi><mi>n</mi></mrow></msub></mrow></semantics></math> is represented as a heatmap, in which the brighter the area, the more often the point was moved there. The averaged final position is shown as a white dot.</p>
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<p><b>Self-Fitting Duration:</b> Histogram of the required time in seconds for all self-fittings for the two user interfaces.</p>
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<p><b>Blind preference decisions:</b> The table shows how often one setting was preferred over another in the blind comparison test.</p>
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<p><b>Blind preference test results:</b> The table shows the participant’s preferred setting for each condition. “undecided” means that the participant did not answer consistently, in which case, a winner could not be determined.</p>
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<p>Violin plot of the differential slider positions of the test–retest conditions for the EQ UI. The black line shows the mean value, and the black point shows the median value.</p>
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<p>Violin plot of the differential point positions of the test–retest conditions for the 2D-Surface UI. The black line shows the mean value, and the black point shows the median value.</p>
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16 pages, 2902 KiB  
Article
Selection of TCC Curve and Protection Cooperation Method of Distribution Line Using Linear Optimization
by Geonho Kim, Woo-Hyun Kim and Chun-Kwon Lee
Electronics 2023, 12(12), 2705; https://doi.org/10.3390/electronics12122705 - 16 Jun 2023
Viewed by 1957
Abstract
Distribution systems are mostly composed of radial structures, which are susceptible to an increased variability and complexity of system operation due to frequent line changes during operation. When multiple changes in distribution lines occur simultaneously, the relative positions of protective devices also change. [...] Read more.
Distribution systems are mostly composed of radial structures, which are susceptible to an increased variability and complexity of system operation due to frequent line changes during operation. When multiple changes in distribution lines occur simultaneously, the relative positions of protective devices also change. The existing protection coordination method of distribution lines is configured by considering the operation characteristics and coordination time interval (CTI) of all protective devices in series from the substation to the terminal load. Therefore, the protection coordination algorithm needs to be redesigned whenever a line is changed or a protective device is added to the distribution line for which the existing protection coordination algorithm has been set. In addition, existing protection coordination methods require complex calculations and procedures, which are subject to human errors and are less feasible for responding in real-time to changes in the distribution system. In this paper, we propose the adaptive time–current curve (TCC) method by selecting the time dial setting (TDS) and minimum response time (MRT) of individual protective devices in accordance with the relative distance based on the linear optimization technique. Using PSCAD/EMTDC, a power system analysis program, the minimum operating current and the fault current of each protective device are obtained, and the proposed protection coordination algorithm is verified according to the series configuration relationship of the protective devices. Finally, the proposed method is applied to an actual distribution line to verify the improvement over the existing protection coordination. Full article
(This article belongs to the Special Issue Machine Learning in Power System Monitoring and Control)
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<p>Distribution line maintenance statistics in South Korea: (<b>a</b>) the number of protective devices, (<b>b</b>) average peak load between protective devices, (<b>c</b>) maintenance investment cost and (<b>d</b>) system average interruption duration index.</p>
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<p>Fault current according to the line length: (<b>a</b>) overhead line (ACSR 160 <math display="inline"><semantics> <msup> <mi>mm</mi> <mn>2</mn> </msup> </semantics></math>) and (<b>b</b>) underground line (CNCV 325 <math display="inline"><semantics> <msup> <mi>mm</mi> <mn>2</mn> </msup> </semantics></math>).</p>
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<p>Short-circuit and ground fault current of the substation draw-out point.</p>
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<p>Protective device operation according to pick-up current.</p>
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<p>Example of correcting protective device for four-division equal load distribution line.</p>
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<p>Short circuit, ground fault current review model: (<b>a</b>) Diagram of power distribution line and (<b>b</b>) the fault simulation model based on PSCAD.</p>
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<p>TCC curves based on proposed algorithm.</p>
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<p>Actual power distribution system diagram.</p>
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<p>Single-line ground fault simulation and interception test results: (<b>a</b>) simulated fault current and (<b>b</b>) phase voltage results.</p>
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16 pages, 1653 KiB  
Article
Passenger Satisfaction Evaluation and Achieving Sustainable Integrated Urban Transport: Structural Equation Analysis Based on Macau Data
by Shuhao Zhao, Yumo Ni, Shunzhang Sun and Tian’ao Chang
Sustainability 2023, 15(6), 5463; https://doi.org/10.3390/su15065463 - 20 Mar 2023
Cited by 4 | Viewed by 4112
Abstract
The sustainable development of urban transport is the key to sustainable urban development. This study analyses and identifies the evaluation indicators affecting Macau’s transport, and analyses the relationship between the relevant evaluation indicators and passenger satisfaction, thus contributing to the improvement and the [...] Read more.
The sustainable development of urban transport is the key to sustainable urban development. This study analyses and identifies the evaluation indicators affecting Macau’s transport, and analyses the relationship between the relevant evaluation indicators and passenger satisfaction, thus contributing to the improvement and the sustainable development of Macau’s public transport services. This study uses a questionnaire to collect data. Based on the current situation of Macau’s social groups, the mainland students in Macau who were selected as the target group are significantly different from residents and tourists in Macau; their needs and perceptions of public transport are more intense. This group’s needs and perceptions of public transport are significantly different from those of residents and tourists. The set indicators of satisfaction with public transport in Macau reflect them. After analyzing and determining the evaluation indicators, structural equation modeling was applied to establish the structural models of Macau’s three public transport services. Finally, the shortcomings of the three public transport services were reflected through the standardized coefficient weights and passenger satisfaction. The study results show that the seating arrangement and smoothness of travel of Macau’s public transport services need to be improved, and the dial-a-ride service’s price setting and waiting time need to be improved. The price setting, convenience of hailing, and payment method of the taxi service need to be improved. In contrast, overall, the satisfaction level of the dial-a-ride service is significantly higher than that of the taxi service. Therefore, the findings of the study have important policy implications for relevant policymakers, who should not only focus on optimizing daily operations but, more importantly, on improving the shortcomings mentioned above, which are of great value in enhancing the passengers’ perception of public transport in Macau and are also crucial to achieving the sustainable development of public transport in Macau. Full article
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<p>ACSI Customer Satisfaction Model.</p>
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<p>Structural equation model of public transport satisfaction.</p>
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<p>Structural equation model of public transport satisfaction.</p>
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<p>Standardized coefficient of public transport satisfaction.</p>
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<p>Public Transport Satisfaction Level 3 Indicator Weights.</p>
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16 pages, 34871 KiB  
Article
Optimizing Recloser Settings in an Active Distribution System Using the Differential Evolution Algorithm
by Siyabonga Brian Gumede and Akshay Kumar Saha
Energies 2022, 15(22), 8514; https://doi.org/10.3390/en15228514 - 14 Nov 2022
Viewed by 1614
Abstract
A recloser requires a fast operating time in the first shot to optimally clear a temporary fault. The operating time is dependent on the time-dial, the pick-up settings, and the fault current. The recloser detects the fault current from the grid supply; however, [...] Read more.
A recloser requires a fast operating time in the first shot to optimally clear a temporary fault. The operating time is dependent on the time-dial, the pick-up settings, and the fault current. The recloser detects the fault current from the grid supply; however, the connection of the generators in the distribution system can contribute to the fault current. Depending on the location of the generators and the direction of the current, the fault current can decrease and cause an increase in the operating time. Therefore, the optimal settings that can minimize the operating time may need to be determined. This paper simulates the behavior of a recloser in its first shot for clearing a temporary fault and tests its performance in an active distribution system that has two types of distributed generators. It then uses the differential evolution algorithm to find the optimal settings in the active distribution voltage conditions. It also applies modifications to the differential evolution algorithm and uses these modifications to find robust settings. It then uses an exponential scale factor to balance the exploration and exploitation of the algorithm chosen. Simscape power systems in Matlab Simulink is used to construct the active distribution system and simulate the cases, while the Matlab script is used to run the code for the differential evolution algorithm. Six cases are performed to find the optimal settings of the recloser. The results show that the selected settings and the differential evolution algorithm modification can optimize the operation of the recloser. Full article
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<p>Application of a recloser in a radial distribution feeder with distributed generation integrated [<a href="#B26-energies-15-08514" class="html-bibr">26</a>,<a href="#B27-energies-15-08514" class="html-bibr">27</a>].</p>
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<p>Active Distribution system voltage profiles.</p>
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<p>Comparison of the fast and delayed curves for the recloser using conventional settings and differential evolution algorithm settings.</p>
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<p>Comparison of the non-optimized and optimized operations for the recloser during a temporary fault.</p>
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<p>Comparison of the non-optimized and optimized operations for the recloser during a permanent fault.</p>
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<p>Fault clearance with conventional and optimum settings for no distributed generation voltage profile.</p>
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<p>Fault clearance with conventional and optimized settings for a falling voltage profile mode.</p>
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<p>Fault clearance with conventional and optimum settings for a rising voltage profile.</p>
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<p>Recloser response for MDE1 and MDE3 in case 1.</p>
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<p>Recloser response for MDE1 and MDE3 in case 2.</p>
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<p>Response for MDE1 and MDE3 in Case 3.</p>
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<p>Recloser operating time for the different settings.</p>
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<p>MDE1 and MDE3 settings’ performance with an exponentially varied scale factor.</p>
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15 pages, 4860 KiB  
Article
Automatic Meter Reading from UAV Inspection Photos in the Substation by Combining YOLOv5s and DeeplabV3+
by Guanghong Deng, Tongbin Huang, Baihao Lin, Hongkai Liu, Rui Yang and Wenlong Jing
Sensors 2022, 22(18), 7090; https://doi.org/10.3390/s22187090 - 19 Sep 2022
Cited by 16 | Viewed by 3663
Abstract
The combination of unmanned aerial vehicles (UAVs) and artificial intelligence is significant and is a key topic in recent substation inspection applications; and meter reading is one of the challenging tasks. This paper proposes a method based on the combination of YOLOv5s object [...] Read more.
The combination of unmanned aerial vehicles (UAVs) and artificial intelligence is significant and is a key topic in recent substation inspection applications; and meter reading is one of the challenging tasks. This paper proposes a method based on the combination of YOLOv5s object detection and Deeplabv3+ image segmentation to obtain meter readings through the post-processing of segmented images. Firstly, YOLOv5s was introduced to detect the meter dial area and the meter was classified. Following this, the detected and classified images were passed to the image segmentation algorithm. The backbone network of the Deeplabv3+ algorithm was improved by using the MobileNetv2 network, and the model size was reduced on the premise that the effective extraction of tick marks and pointers was ensured. To account for the inaccurate reading of the meter, the divided pointer and scale area were corroded first, and then the concentric circle sampling method was used to flatten the circular dial area into a rectangular area. Several analog meter readings were calculated by flattening the area scale distance. The experimental results show that the mean average precision of 50 (mAP50) of the YOLOv5s model with this method in this data set reached 99.58%, that the single detection speed reached 22.2 ms, and that the mean intersection over union (mIoU) of the image segmentation model reached 78.92%, 76.15%, 79.12%, 81.17%, and 75.73%, respectively. The single segmentation speed reached 35.1 ms. At the same time, the effects of various commonly used detection and segmentation algorithms on the recognition of meter readings were compared. The results show that the method in this paper significantly improved the accuracy and practicability of substation meter reading detection in complex situations. Full article
(This article belongs to the Special Issue Artificial Intelligence in Computer Vision: Methods and Applications)
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<p>The process of identifying meter readings based on YOLOv5s and Deeplabv3+.</p>
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<p>The YOLOv5s network structure diagram.</p>
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<p>Five kinds of meters. (<b>a</b>) bj, which refers to oil level, (<b>b</b>) bjA, which refers to Sulfur Hexafluoride Density Relay, (<b>c</b>) bjB, which refers to Discharge Counter With Current Meter For Arrester, (<b>d</b>) bjH, which refers to Discharge Counter and (<b>e</b>) bjL, which also is Sulfur Hexafluoride Density Relay.</p>
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<p>Five kinds of meters. (<b>a</b>) bj, which refers to oil level, (<b>b</b>) bjA, which refers to Sulfur Hexafluoride Density Relay, (<b>c</b>) bjB, which refers to Discharge Counter With Current Meter For Arrester, (<b>d</b>) bjH, which refers to Discharge Counter and (<b>e</b>) bjL, which also is Sulfur Hexafluoride Density Relay.</p>
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<p>The Modules of Deeplabv3+.</p>
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<p>An example of segment datasets.</p>
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<p>Dial detection results using YOLOv5s.</p>
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<p>Image segmentation results of Deeplabv3+.</p>
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<p>The result of flattening the image.</p>
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<p>The results of the meter reading.</p>
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<p>Meter images.</p>
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5 pages, 483 KiB  
Proceeding Paper
Application of Marine Predator Algorithm in Solving the Problem of Directional Overcurrent Relay in Electrical Power System
by Abdul Wadood, Shahbaz Khan, Bakht Muhammad Khan, Husan Ali and Zabdur Rehman
Eng. Proc. 2021, 12(1), 9; https://doi.org/10.3390/engproc2021012009 - 22 Dec 2021
Cited by 3 | Viewed by 1305
Abstract
In electrical power systems, directional overcurrent relay (DOCR) coordination is assumed to be an essential component of the system for protection purposes. To diminish and reduce power losses, the coordination between these relays ought to be kept at an ideal value to minimalize [...] Read more.
In electrical power systems, directional overcurrent relay (DOCR) coordination is assumed to be an essential component of the system for protection purposes. To diminish and reduce power losses, the coordination between these relays ought to be kept at an ideal value to minimalize the overall operating time of all primary-relay shortcoming situations. The coordination of DOCR is a complex and profoundly compelling nonlinear problem. The objective function is to minimalize the overall total operating time of all essential relays to minimize inordinate breakdown and interference. Coordination is performed using the marine predator algorithm (MPA), inspired by a widespread foraging strategy, namely Lévy and Brownian movements, to search for global optimal solutions in order to resolve the DOCRs coordination issue. The results acquired from MPA are equated with other state-of-the-art algorithms, and it was observed that the proposed algorithm outperforms other algorithms. Full article
(This article belongs to the Proceedings of The 1st International Conference on Energy, Power and Environment)
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<p>IEEE 9 bus.</p>
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43 pages, 5996 KiB  
Article
An Adaptive and Scalable Protection Coordination System of Overcurrent Relays in Distributed-Generator-Integrated Distribution Networks
by Duong Minh Bui, Phuc Duy Le, Thanh Phuong Nguyen and Hung Nguyen
Appl. Sci. 2021, 11(18), 8454; https://doi.org/10.3390/app11188454 - 12 Sep 2021
Cited by 7 | Viewed by 3456
Abstract
Integration of distributed generators (DGs) into a distribution network (DN) can cause coordination challenges of overcurrent relays (OCRs) because of different fault-current contributions of DGs as well as the directional change in fault currents. Therefore, the OCRs should be properly coordinated to maintain [...] Read more.
Integration of distributed generators (DGs) into a distribution network (DN) can cause coordination challenges of overcurrent relays (OCRs) because of different fault-current contributions of DGs as well as the directional change in fault currents. Therefore, the OCRs should be properly coordinated to maintain their adaptability and scalability to protect the DG-integrated distribution network. In this study, an adaptive and scalable protection coordination (ASPC) approach has been developed for the OCRs in a DG-contained distribution network based on two implementation stages. At the first stage, the reliability improvement of fault-current calculation results is performed by determining the min-max confidence interval of fault current for each different fault type, which is the basis for properly selecting tripping and pick-up thresholds of definite-time and inverse-time OC functions in the same OCR. At the second stage, optimization algorithms are used for calculating protection-curve coefficients and Time-Dial Setting (TDS) multiplier for the inverse-time OC functions in the OCR. A real 22 kV DG-integrated distribution network which is simulated by ETAP software is considered a reliable test-bed to validate the proposed ASPC system of OCRs in the multiple-DG-contained distribution network. In addition, the coordination results of OCRs can be obtained by three common optimization algorithms, Particle Swarm Optimization (PSO), Gravitational Search Algorithm (GSA), and Genetic Algorithm (GA). These relay coordination results have shown an effective protection combination of the definite-time OC functions (50P and 50G) and the inverse-time OC functions (51P and 51G) in the same OCR to get the adaptable and scalable DN protection system. Full article
(This article belongs to the Special Issue Electric Power Applications)
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<p>Illustration of protection characteristic curves (<b>a</b>) 50P/G–definite-time overcurrent function and (<b>b</b>) 51P/G–inverse-time overcurrent function.</p>
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<p>A flow diagram of forecasting a min-max confidence interval of load power at each load bus in the DN.</p>
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<p>A typical single-line diagram of DN with the integration of distributed generators.</p>
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<p>A typical single-line diagram of meshed distribution network.</p>
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<p>A general flow-chart of the proposed ASPC approach for OCRs in a DG-based distribution network.</p>
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<p>A flow chart of GSA applied to the ASPC approach of OCRs.</p>
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<p>A flow chart of hybrid PSO-GSA applied to the proposed ASPC approach of OCRs.</p>
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<p>A flow chart of GA applied to the proposed ASPC approach of OCRs in the DN.</p>
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<p>A real 22 kV DG-based distribution network is supplied by two power substations, namely, the 110/22 kV Can-Gio substation and the 110/22 kV An-Nghia substation, three IBDGs (DG<sub>1</sub>, DG<sub>2</sub>, and DG<sub>3</sub>), and one RBDG (DG<sub>4</sub>).</p>
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<p>A simplified single-line diagram of the real 22 kV DG-integrated DN.</p>
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<p>Optimal protection characteristic curves of the OC relays in Scenario 1 of the 22 kV distribution system.</p>
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<p>Optimal protection characteristic curves of the OC relays in Scenario 1 of the 22 kV distribution system.</p>
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<p>Optimal protection characteristic curves of the OC relays in Scenario 2 of the 22 kV distribution system.</p>
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<p>Optimal protection characteristic curves of the OC relays in Scenario 2 of the 22 kV distribution system.</p>
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<p>Optimal protection characteristic curves of the OC relays in Scenario 4 of the 22 kV distribution system.</p>
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<p>Optimal protection characteristic curves of the OC relays in Scenario 4 of the 22 kV distribution system.</p>
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21 pages, 3625 KiB  
Article
An Optimized Adaptive Protection Scheme for Numerical and Directional Overcurrent Relay Coordination Using Harris Hawk Optimization
by Muhammad Irfan, Abdul Wadood, Tahir Khurshaid, Bakht Muhammad Khan, Ki-Chai Kim, Seung-Ryle Oh and Sang-Bong Rhee
Energies 2021, 14(18), 5603; https://doi.org/10.3390/en14185603 - 7 Sep 2021
Cited by 24 | Viewed by 2209
Abstract
The relay coordination problem is of dire importance as it is critical to isolate the faulty portion in a timely way and thus ensure electrical network security and reliability. Meanwhile a relay protection optimization problem is highly constraint and complicated problem to be [...] Read more.
The relay coordination problem is of dire importance as it is critical to isolate the faulty portion in a timely way and thus ensure electrical network security and reliability. Meanwhile a relay protection optimization problem is highly constraint and complicated problem to be addressed. To fulfill this purpose, Harris Hawk Optimization (HHO) is adapted to solve the optimization problem for Directional Over-current Relays (DOCRs) and numerical relays. As it is inspired by the intelligent and collegial chasing and preying behavior of hawks for capturing the prey, it shows quite an impressive result for finding the global optimum values. Two decision variables; Time Dial Settings (TDS) and Plug Settings (PS) are chosen as the decision variables for minimization of overall operating time of relays. The proposed algorithm is implemented on three IEEE test systems. In comparison to other state-of-the-art nature inspired and traditional algorithms, the results demonstrate the superiority of HHO. Full article
(This article belongs to the Special Issue Smart Energy Systems: Control and Optimization)
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<p>Schematic outline for DOCR coordination in an electrical power network.</p>
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<p>Escaping energy trend for two runs [<a href="#B50-energies-14-05603" class="html-bibr">50</a>].</p>
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<p>Hard siege scenario considering one hawk [<a href="#B50-energies-14-05603" class="html-bibr">50</a>].</p>
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<p>Soft siege mode of hawks with progressive rapid dives [<a href="#B50-energies-14-05603" class="html-bibr">50</a>].</p>
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<p>The position vectors for hard siege mode with progressive rapid dives in 2D and 3D space [<a href="#B50-energies-14-05603" class="html-bibr">50</a>].</p>
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<p>Flowchart of HHO.</p>
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<p>Single line diagram of the IEEE 9 bus system.</p>
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<p>Convergence characteristics of HHO for the 9-bus system.</p>
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<p>IEEE 15 bus system.</p>
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<p>Convergence characteristics of HHO for a 15-bus system.</p>
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<p>Single line diagram of the IEEE 14 bus system.</p>
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<p>Convergence characteristics of HHO for a 14-bus system.</p>
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19 pages, 3082 KiB  
Article
Per-Phase and 3-Phase Optimal Coordination of Directional Overcurrent Relays Using Genetic Algorithm
by Ronald C. Matthews, Trupal R. Patel, Adam K. Summers, Matthew J. Reno and Shamina Hossain-McKenzie
Energies 2021, 14(6), 1699; https://doi.org/10.3390/en14061699 - 18 Mar 2021
Cited by 11 | Viewed by 2336
Abstract
Penetration of the power grid by renewable energy sources, distributed storage, and distributed generators is becoming increasingly common. Increased utilization of these distributed energy resources (DERs) has given rise to additional protection coordination concerns, particularly where they are utilized in an unbalanced manner [...] Read more.
Penetration of the power grid by renewable energy sources, distributed storage, and distributed generators is becoming increasingly common. Increased utilization of these distributed energy resources (DERs) has given rise to additional protection coordination concerns, particularly where they are utilized in an unbalanced manner or where loading among phases is unbalanced. Digital relays such as the SEL-751 (produced by Schweitzer Engineering Laboratories, Pullman, WA, USA) series have the capability of being set on a per-phase basis. This capability is underutilized in common practice. Additionally, in optimization algorithms for determining relay settings, the time-overcurrent characteristics (TOCs) of relays are generally not treated as variables and are assigned before running the optimization algorithm. In this paper, TOC options themselves are treated as discrete variables to be considered in the optimization algorithm. A mixed integer nonlinear programming problem (MINLP) is set up where the goal is to minimize relay operating times. A genetic algorithm (GA) approach is implemented in MATLAB where two cases are considered. In the first case, the TOC and Time dial setting (TDS) of each relay is set on a three-phase basis. In the second case, per-phase settings are considered. Relay TDSs and TOCs are both considered as simultaneous discrete control variables. Despite the stochastic nature of using per-phase settings for unbalanced systems is found to generally allow for shorter operating times. However, for relatively balanced systems, it is best to use three-phase settings if computation time is of importance. Full article
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<p>Proposed Method for relay coordination.</p>
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<p>Simple 11-bus example system.</p>
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<p>Modified IEEE 123-bus test case. The relays are marked with green boxes and the PV is marked with red dots. Tie lines are highlighted in blue. R denotes a relay on a permanent line and RTL denotes a relay on a tie line.</p>
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<p>IEEE 123 topology 1 relay operating times when acting as primary using 3 phase settings.</p>
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<p>IEEE 123 topology 2 relay operating times when acting as primary using three-phase settings.</p>
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<p>IEEE 123 topology 1 relay operating times when acting as a primary relay using per-phase settings.</p>
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<p>IEEE 123 topology 2 relay operating times when acting as primary using per-phase settings.</p>
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17 pages, 1688 KiB  
Article
An Improved Inverse-Time Over-Current Protection Method for a Microgrid with Optimized Acceleration and Coordination
by Liang Ji, Zhe Cao, Qiteng Hong, Xiao Chang, Yang Fu, Jiabing Shi, Yang Mi and Zhenkun Li
Energies 2020, 13(21), 5726; https://doi.org/10.3390/en13215726 - 2 Nov 2020
Cited by 22 | Viewed by 2571
Abstract
This paper presents an improved inverse-time over-current protection method based on the compound fault acceleration factor and the beetle antennae search (BAS) optimization method for a microgrid. The proposed method can not only significantly increase the operation speed of the inverse-time over-current protection [...] Read more.
This paper presents an improved inverse-time over-current protection method based on the compound fault acceleration factor and the beetle antennae search (BAS) optimization method for a microgrid. The proposed method can not only significantly increase the operation speed of the inverse-time over-current protection but also improve the protection coordination by considering the possible influential factors in terms of microgrid operation modes, distributed generation (DG) integration status, fault types, and positions, which are marked as the most challenging problems for over-current protection of a microgrid. In this paper, a new Time Dial Setting (TDS) of inverse-time protection is developed by applying a compound fault acceleration factor, which can notably accelerate the speed of protection by using low-voltage and short-circuit impedance during the fault. In order to improve the protection coordination, the BAS algorithm is then used to optimize the protection parameters of the pick-up current, TDS, and the inverse time curve shape coefficient. Finally, case studies and various evaluations based on DIgSILENT/Power Factory are carried out to illustrate the effectiveness of the proposed method. Full article
(This article belongs to the Special Issue Protection of Future Electricity Systems)
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<p>Simplified microgrid model.</p>
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<p>Operation time in different modes of the microgrid: (<b>a</b>) Parameters are set according to the grid-connected mode; (<b>b</b>) parameters are set according to the islanded mode.</p>
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<p>Flowchart of the beetle antenna search (BAS) algorithm.</p>
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<p>Schematic diagram of the microgrid.</p>
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<p>Bus voltage during the fault at F3.</p>
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<p>Bus voltage during the fault at F3.</p>
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22 pages, 7797 KiB  
Review
Palladium-Catalysed Coupling Reactions En Route to Molecular Machines: Sterically Hindered Indenyl and Ferrocenyl Anthracenes and Triptycenes, and Biindenyls
by Michael J. McGlinchey and Kirill Nikitin
Molecules 2020, 25(8), 1950; https://doi.org/10.3390/molecules25081950 - 22 Apr 2020
Cited by 12 | Viewed by 4175
Abstract
Pd-catalysed Stille and Suzuki cross-couplings were used to prepare 9-(3-indenyl)-, 6, and 9-(2-indenyl)-anthracene, 7; addition of benzyne led to the 9-Indenyl-triptycenes, 8 and 9. In 6, [4 + 2] addition also occurred to the indenyl substituent. Reaction of 6 through 9 with Cr(CO) [...] Read more.
Pd-catalysed Stille and Suzuki cross-couplings were used to prepare 9-(3-indenyl)-, 6, and 9-(2-indenyl)-anthracene, 7; addition of benzyne led to the 9-Indenyl-triptycenes, 8 and 9. In 6, [4 + 2] addition also occurred to the indenyl substituent. Reaction of 6 through 9 with Cr(CO)6 or Re2(CO)10 gave their M(CO)3 derivatives, where the Cr or Re was complexed to a six- or five-membered ring, respectively. In the 9-(2-indenyl)triptycene complexes, slowed rotation of the paddlewheel on the NMR time-scale was apparent in the η5-Re(CO)3 case and, when the η6-Cr(CO)3 was deprotonated, the resulting haptotropic shift of the metal tripod onto the five-membered ring also blocked paddlewheel rotation, thus functioning as an organometallic molecular brake. Suzuki coupling of ferrocenylboronic acid to mono- or dibromoanthracene yielded the ferrocenyl anthracenes en route to the corresponding triptycenes in which stepwise hindered rotations of the ferrocenyl groups behaved like molecular dials. CuCl2-mediated coupling of methyl- and phenyl-indenes yielded their rac and meso 2,2′-biindenyls; surprisingly, however, the apparently sterically crowded rac 2,2′-Bis(9-triptycyl)biindenyl functioned as a freely rotating set of molecular gears. The predicted high rotation barrier in 9-phenylanthracene was experimentally validated via the Pd-catalysed syntheses of di(3-fluorophenyl)anthracene and 9-(1-naphthyl)-10-phenylanthracene. Full article
(This article belongs to the Special Issue Advances in Cross-Coupling Reactions)
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<p>Examples of fluxional molecular systems: (<b>i</b>) bowl-to-bowl inversion, (<b>ii</b>) shuttling, (<b>iii</b>) pirouetting, and (<b>iv</b>) rotating.</p>
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<p>Fast degenerate shuttling of a cyclobis(paraquat-<span class="html-italic">p</span>-phenylene) ring along a rigid dialkyne framework.</p>
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<p>Palladium-catalysed formation of C–C bonds in the tripodal rigid non-degenerate shuttle, <b>4</b> [<a href="#B7-molecules-25-01950" class="html-bibr">7</a>,<a href="#B8-molecules-25-01950" class="html-bibr">8</a>], and the rigid ring-in-ring shuttle, <b>5</b> [<a href="#B9-molecules-25-01950" class="html-bibr">9</a>].</p>
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<p>Schematic of a molecular gearing system in which free rotation of the paddlewheel P is controlled by sliding the “latch” Y of the shuttle S.</p>
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<p>Molecular structures of 9-(3-indenyl)anthracene, <b>6</b>, and 10-(anthracen-9′-yl)-[4a,9]-methano-4a,9-dihydrophenanthrene, <b>10</b>.</p>
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<p>Molecular structure of 9-(3-indenyl)triptycene, <b>8</b>, and a space-fill view, from the reverse angle, to emphasise its molecular crowding.</p>
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<p>Molecular structure of 2-(4-bromophenyl)indene, <b>11</b>.</p>
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<p>Molecular structure of indeno [1,2-<span class="html-italic">α</span>]-10,16-dihydroaceanthrylene, <b>12</b>.</p>
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<p>Structures of 9,10-di(2-indenyl)anthracene, <b>18</b>, and <span class="html-italic">anti</span>-9,10-di(3-indenylanthracene, <b>19</b>.</p>
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<p>Structure of 13a-phenyl-13,13a-dihydro-8b<span class="html-italic">H</span>-indeno-[1,2-<span class="html-italic">l</span>]-phenanthrene, <b>24</b>.</p>
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<p>Molecular structures of [η<sup>6</sup>-(2-indenyl)benzene]tricarbonylchromium, <b>25</b>, and (η<sup>5</sup>-2-phenylindenyl)tricarbonylrhenium, <b>27</b>.</p>
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<p>Molecular structures of [η<sup>6</sup>-2-(9-anthracenyl)indene]tricarbonylchromium, <b>28</b>, and [η<sup>5</sup>-2-(9-anthracenyl)indenyl]tricarbonylrhenium, <b>29</b>.</p>
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<p>Exchange behaviour in the indenyl-anthracene rhenium complex <b>29</b>. (<b>i</b>) Low-energy (C<sub>s</sub> symmetric) up/down oscillation of the indenyl-Re(CO)<sub>3</sub> group relative to the anthracene ring plane; (<b>ii</b>) higher-energy process whereby side-to-side rotation of the indenyl-Re(CO)<sub>3</sub> moiety about the C(9)-indenyl linkage equilibrates the terminal benzo rings.</p>
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<p>Molecular structures of [η<sup>6</sup>-3-(9-anthracenyl)indene]tricarbonylchromium, <b>31</b>, and [η<sup>5</sup>-3-(9-anthracenyl)indenyl]tricarbonylrhenium, <b>32</b>.</p>
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<p>Structures of [η<sup>6</sup>-9-(3-indenyl)-1,2,3,4,4a,9a-triptycene]tricarbonyl-chromium, <b>34</b>, and [η<sup>5</sup>-3-(9-triptycyl)indenyl]tricarbonylrhenium, <b>35</b>.</p>
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<p>Structures of [η<sup>6</sup>-2-(9-triptycyl)indene]tricarbonylchromium, <b>36</b>, and [η<sup>5</sup>-2-(9-triptycyl)indenyl]tricarbonylrhenium, <b>38</b>.</p>
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<p>Space-fill view of [η<sup>5</sup>-2-(9-triptycyl)indenyl]tricarbonylmanganese, <b>39</b>, showing how a carbonyl ligand is positioned directly between two blades of the triptycene.</p>
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<p>Structures of 9-ferrocenylanthracene, <b>41</b>, and 9,10-diferrocenylanthracene, <b>42</b>.</p>
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<p>Structures of 9-ferrocenyltriptycene, <b>43</b>, and <span class="html-italic">rac</span>-9,10-diferrocenyltriptycene, <b>44</b>.</p>
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<p><sup>1</sup>H NMR chemical shifts (ppm) in 2,3-dimethyl-9-ferrocenyltriptycene.</p>
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<p>Molecular structure of 2,6-di-tert-butyl-9,10-diferrocenylanthracene, <b>45</b>.</p>
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<p>Possible one-step interconversion pathways between conformers of 2,6-di-tert-butyl- 9,10-diferrocenyltriptycene, 46. Green and red arrows indicate high and low barriers, respectively. Structures shown in blue are C<sub>2</sub>-symmetric, and those possessing only C<sub>1</sub> symmetry are in black [<a href="#B26-molecules-25-01950" class="html-bibr">26</a>].</p>
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<p>Molecular structures of <span class="html-italic">meso</span>- and <span class="html-italic">rac</span>-2,2′-diphenyl-1,1′-biindenyl, <b>47</b> and <b>48</b>.</p>
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<p>Molecular structures of <span class="html-italic">meso</span>- and <span class="html-italic">rac</span>-2,2′-dimethyl-1,1′-biindenyl, <b>49</b> and <b>50</b>.</p>
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<p>Molecular structure of <span class="html-italic">rac</span>-2,2′-di(9-triptycyl)-1,1′-biindenyl, <b>51</b>, and a space-fill view showing the gear meshing of the triptycyl groups [<a href="#B31-molecules-25-01950" class="html-bibr">31</a>].</p>
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<p>Structures of <span class="html-italic">anti</span>-9,10-di(3-fluorophenyl)anthracene, <b>52</b>, and of 9-(1-naphthyl)-10-phenylanthracene, <b>53</b>.</p>
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<p>Efficient synthesis of the buckybowl, <b>2,</b> via Pd-catalysed C-C bond formation.</p>
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<p>Palladium-catalysed route to <b>6</b>, and its benzyne adducts, <b>8</b> and <b>10</b>.</p>
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<p>Pd-catalysed formation of arylindenes. Reagents and conditions: (<b>i</b>) indene, Pd(OAc)<sub>2</sub>, Et<sub>3</sub>N, 100 °C; (<b>ii</b>) as for (<b>i</b>) but using (<span class="html-italic">O</span>-tolyl<sub>3</sub>P)<sub>2</sub>PdCl<sub>2</sub>.</p>
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<p>Proposed mechanisms for the indenylation of 9-bromoanthracene (L = PAr<sub>3</sub>).</p>
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<p>Formation of multiple products from the palladium-catalysed reaction of 9-bromoanthracene and ethynyltrimethylsilane.</p>
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<p>Pd-catalysed Suzuki-type coupling of aryl bromides. Reagents and conditions: (<b>i</b>) 2-indenylboronic acid, (Ph<sub>3</sub>P)<sub>2</sub>PdCl<sub>2</sub>, (1 mol%), ethanol-toluene, Na<sub>2</sub>CO<sub>3</sub>, 30 h, 75 °C; (<b>ii</b>) as for (<b>i</b>) but using (dppf)PdCl<sub>2</sub>.</p>
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<p>Reaction of benzyne and 9-2(indenyl)anthracene yields only a single adduct, <b>9</b>.</p>
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<p>Pd-catalysed formation of di-indenylanthracenes, <b>18</b> and <b>19</b>. Reagents and conditions: (<b>i</b>) 2-indenylboronic acid, (dppf)PdCl<sub>2</sub>, Na<sub>2</sub>CO<sub>3</sub>, ethanol-toluene, 80 h, 80 °C; (<b>ii</b>) 1-(trimethylstannyl)indene, (O-tol<sub>3</sub>P)<sub>2</sub>PdCl<sub>2</sub>, 1,4-dioxane, 40 h, 120 °C.</p>
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<p>Cycloaddition reactions of benzyne to 2-phenylindene.</p>
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<p>Chromium and rhenium tricarbonyl complexes of 2-phenylindene.</p>
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<p>Cr and Re carbonyl complexes of 2-indenyl- and 3-indenyl-anthracene.</p>
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<p>Cr and Re complexes of 9-(3-indenyl)triptycene and 9-(2-indenyl)triptycene.</p>
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<p>Deprotonation of <b>36</b> brings about an η<sup>6</sup> → η<sup>5</sup> haptotropic shift, forming <b>40</b>, in which paddlewheel rotation (dashed arrow) is dramatically slowed on the NMR time-scale.</p>
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<p>Syntheses of mono- and di-ferrocenyl anthracenes and triptycenes. Reagents and conditions: (<b>i</b>) ferrocenylboronic acid, Bu<sub>4</sub>NOH, (dppf)PdCl<sub>2</sub>, 1,4-dioxane, 24 h, 120 °C; (<b>ii</b>) <span class="html-italic">O</span>-BrC<sub>6</sub>H<sub>4</sub>F, BuLi, toluene, −5 °C.</p>
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<p>Selected cycloaddition reactions to 9-ferrocenylanthracene.</p>
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<p>Selected cycloaddition reactions to 9,10-diferrocenylanthracene.</p>
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<p>Formation of <span class="html-italic">racemic</span> and <span class="html-italic">meso</span> bi-indenyls <b>42</b>–<b>45</b>.</p>
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25 pages, 4951 KiB  
Article
Alternative Methodology to Calculate the Directional Characteristic Settings of Directional Overcurrent Relays in Transmission and Distribution Networks
by José de Jesús Jaramillo Serna and Jesús M. López-Lezama
Energies 2019, 12(19), 3779; https://doi.org/10.3390/en12193779 - 4 Oct 2019
Cited by 21 | Viewed by 5591
Abstract
When addressing the problem of calculating the settings for directional overcurrent elements, the focus is usually the determination of the pickup, time dial and operating characteristic, in order to ensure proper selectivity with adjacent protection elements, thus limiting the problem related to the [...] Read more.
When addressing the problem of calculating the settings for directional overcurrent elements, the focus is usually the determination of the pickup, time dial and operating characteristic, in order to ensure proper selectivity with adjacent protection elements, thus limiting the problem related to the settings calculation of the direction determination characteristic to the application of typical settings and general guidelines, which cannot provide a reliable measure of the suitability of such settings. The present article describes in detail an alternative methodology for determining these settings, based on a characterization of the power system where the directional protection is to be applied, through the performance of a detailed short-circuit sensitivity analysis. From this, an optimization problem is formulated and solved to obtain the main settings shaping the direction determination characteristic, and then, a series of variables are used to measure the performance of the obtained settings, and even to improve it. The obtained results show the advantages of the application of the proposed methodology over the traditional methodology, based on typical settings and general guidelines, pointing out the risks of using the later. Full article
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<p>Variation of the polarization variables according to the two main factors affecting the cross-polarization technique.</p>
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<p>Direction determination characteristic for zero-sequence quantities in relays (<b>a</b>) SIEMENS 7SJ85 and (<b>b</b>) ABB REL670.</p>
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<p>Example of sequence networks connection for a forward ground fault current and zero-sequence polarization.</p>
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<p>Flowchart for the conditioning of the results prior to the calculation of the Relay Characteristic Angle (<span class="html-italic">RCA</span>) through optimization.</p>
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<p>Logic scheme for the determination of <math display="inline"><semantics> <mrow> <msub> <mi>d</mi> <mi>i</mi> </msub> </mrow> </semantics></math>.</p>
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<p>Example of modified <span class="html-italic">RCA</span> for improved detection rate.</p>
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<p>Flowchart for choosing the polarizing quantities for the directional ground overcurrent protection element (ANSI 67N).</p>
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<p>One-line drawing of the sample transmission system used to test the proposed solution strategy.</p>
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<p>Graphic results for the evaluation of polarization on the directional phase overcurrent element of relays at substation SE_A of the LT_1 transmission line.</p>
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<p>Comparative results for the evaluation of polarization on the directional phase overcurrent element (ANSI 67) in the protection relays of Study Case 1.</p>
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<p>Comparative results for the evaluation of polarization on the directional ground overcurrent element (ANSI 67N) in the protection relays of Study Case 1—negative sequence polarization.</p>
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<p>Comparative results for the evaluation of polarization on the directional ground overcurrent element (ANSI 67N) in the protection relays of Study Case 1—zero sequence polarization.</p>
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<p>Comparative results for the evaluation of polarization on the directional phase overcurrent element (ANSI 67) in the protection relays of Study Case 2.</p>
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<p>Comparative results for the evaluation of polarization on the directional ground overcurrent element (ANSI 67N) in the protection relays of Study Case 2—negative sequence polarization.</p>
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<p>Comparative results for the evaluation of polarization on the directional ground overcurrent element (ANSI 67N) in the protection relays of Study Case 2—zero sequence polarization.</p>
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<p>Comparative results for the evaluation of polarization on the directional phase overcurrent element (ANSI 67) in the protection relays of Study Case 3.</p>
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<p>Comparative results for the evaluation of polarization on the directional ground overcurrent element (ANSI 67N) in the protection relays of Study Case 3—negative sequence polarization.</p>
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<p>Comparative results for the evaluation of polarization on the directional ground overcurrent element (ANSI 67N) in the protection relays of Study Case 3—zero sequence polarization.</p>
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27 pages, 5240 KiB  
Article
Nature-Inspired Whale Optimization Algorithm for Optimal Coordination of Directional Overcurrent Relays in Power Systems
by Abdul Wadood, Tahir Khurshaid, Saeid Gholami Farkoush, Jiangtao Yu, Chang-Hwan Kim and Sang-Bong Rhee
Energies 2019, 12(12), 2297; https://doi.org/10.3390/en12122297 - 16 Jun 2019
Cited by 29 | Viewed by 5008
Abstract
In power systems protection, the optimal coordination of directional overcurrent relays (DOCRs) is of paramount importance. The coordination of DOCRs in a multi-loop power system is formulated as an optimization problem. The main objective of this paper is to develop the whale optimization [...] Read more.
In power systems protection, the optimal coordination of directional overcurrent relays (DOCRs) is of paramount importance. The coordination of DOCRs in a multi-loop power system is formulated as an optimization problem. The main objective of this paper is to develop the whale optimization algorithm (WOA) for the optimal coordination of DOCRs and minimize the sum of the operating times of all primary relays. The WOA is inspired by the bubble-net hunting strategy of humpback whales which leads toward global minima. The proposed algorithm has been applied to six IEEE test systems including the IEEE three-bus, eight-bus, nine-bus, 14-bus, 15-bus, and 30-bus test systems. Furthermore, the results obtained using the proposed WOA are compared with those obtained by other up-to-date algorithms. The obtained results show the effectiveness of the proposed WOA to minimize the relay operating time for the optimal coordination of DOCRs. Full article
(This article belongs to the Special Issue Electric Power Systems Research 2019)
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<p>Schematic outline for DOCR coordination in an electrical power network.</p>
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<p>The flowchart of whale optimization algorithm (WOA).</p>
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<p>The IEEE three-bus system.</p>
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<p>Convergence characteristic of WOA for Case I.</p>
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<p>The IEEE eight-bus system.</p>
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<p>Convergence characteristic of WOA for case 2.</p>
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<p>The IEEE nine-bus system.</p>
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<p>Convergence characteristic of WOA for Case 3.</p>
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<p>Diagram of the IEEE 15-bus system.</p>
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<p>Convergence characteristic of WOA for Case 4.</p>
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<p>Diagram of the IEEE 30-bus system.</p>
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<p>Convergence characteristic of WOA for Case 5.</p>
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<p>Diagram of the IEEE 14-bus system.</p>
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<p>Convergence characteristic of WOA for the IEEE-14 bus system.</p>
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