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Records with Subject: Energy Management
275. LAPSE:2023.30920
Structure Optimization of Ensemble Learning Methods and Seasonal Decomposition Approaches to Energy Price Forecasting in Latin America: A Case Study about Mexico
April 17, 2023 (v1)
Subject: Energy Management
Keywords: electricity spot prices, ensemble learning methods, Latin America, seasonal decomposition, time series forecasting.
The energy price influences the interest in investment, which leads to economic development. An estimate of the future energy price can support the planning of industrial expansions and provide information to avoid times of recession. This paper evaluates adaptive boosting (AdaBoost), bootstrap aggregation (bagging), gradient boosting, histogram-based gradient boosting, and random forest ensemble learning models for forecasting energy prices in Latin America, especially in a case study about Mexico. Seasonal decomposition of the time series is used to reduce unrepresentative variations. The Optuna using tree-structured Parzen estimator, optimizes the structure of the ensembles through a voter by combining several ensemble frameworks; thus an optimized hybrid ensemble learning method is proposed. The results show that the proposed method has a higher performance than the state-of-the-art ensemble learning methods, with a mean squared error of 3.37 × 10−9 in the testing phase.
276. LAPSE:2023.30896
Extended Operating Region Algorithm for PV Array Connected to Microgrids for Wide Frequency and Amplitude Variations
April 17, 2023 (v1)
Subject: Energy Management
Keywords: DC/AC converter, microgrids, MPPT, operation region, overmodulation control, PLL.
The employment of microgrids and distributed power generation have exponentially increased over recent decades, due in part to the increased inclusion of renewable energies as these technologies become cheaper to install. However, microgrids are highly sensitive to power variation, leading to distortion of the grid voltage (amplitude and frequency changes) which could destabilize the entire microgrid under variation of loads and/or other power sources. In this context, a new control strategy is proposed for a photovoltaic grid connected system, operating under voltage variations typical of a low inertial electric power network. The main problem related to voltage fluctuation is that the variables may take the power converter out of the operating region, and therefore, all controllers, including the maximum power point tracking, will not work as designed. The analysis, based on the mathematical operating region, demonstrates that the control strategy can include overmodulation compensat... [more]
277. LAPSE:2023.30894
Assessment of Conservation Voltage Reduction in Distribution Networks with Voltage Regulating Distribution Transformers
April 17, 2023 (v1)
Subject: Energy Management
Keywords: conservation voltage reduction, peak power, tap change, voltage regulating distribution transformers.
The application of voltage reduction in medium and low voltage grids to reduce peak power demand or energy consumption has been implemented since the 1980s using several approaches. Conservation Voltage Reduction (CVR), as one such approach, uses a voltage control device to reduce or increase the voltage setpoint on a busbar, thereby reducing or increasing the amount of active and reactive power supply in the network. Voltage regulation for CVR is always implemented according to established network planning standards in each country. Research in this field has proven that a CVR factor (CVRf) of 0.7−1.5 for peak demand reduction can be achieved. This is an evaluation metric of CVR. The aim of this research is to determine and validate CVRf for peak demand reduction by comparing actual results obtained during regular tap changes with other randomly distributed periods outside tap change operations, using a set of measurement data. It is important to understand CVR deployment capability b... [more]
278. LAPSE:2023.30893
State-of-the-Art Literature Review of Power Flow Control Methods for Low-Voltage AC and AC-DC Microgrids
April 17, 2023 (v1)
Subject: Energy Management
Keywords: control action, converter, distributed energy resources, generating set, inverter, microgrid, power flow control, renewable energy sources.
The development of AC distribution systems provides for the seamless integration of low-voltage microgrids with distributed energy resources (DERs). This poses new challenges for the control of normal, emergency, and post-emergency states of microgrids, calling for the creation and development of information and communications technology infrastructure. Power converters/inverters that are used to integrate renewable DERs lack inertia. Along with them, fossil fuel-fired generation units are also being integrated into microgrids. These include gas generator sets, diesel generator sets, and microturbines, having small (up to 1−2 s) values of mechanical inertia constants—Tj. This leads to an increase in the rate of transients by a factor of 5−10. Under these conditions, the technical requirements for the speed of automatic power flow control systems, as well as the methods they rely on, have to be reconsidered. Microgrids include DC microgrids, AC microgrids, and hybrid (AC-DC) microgrids.... [more]
279. LAPSE:2023.30834
Research on Load State Sensing and Early Warning Method of Distribution Network under High Penetration Distributed Generation Access
April 17, 2023 (v1)
Subject: Energy Management
Keywords: distributed power supply, load flow analysis, new energy, power system.
Aiming at the problems of power flow fluctuation and voltage exceeding standard caused by high permeability distributed power supply access, this paper proposes a load state perception early warning method for distribution networks. Firstly, the random behavior characteristics and voltage early warning mechanisms of power supply and load in distribution networks are analyzed, the dynamic model of distribution networks based on complex network theory is established, and the risk index of voltage exceeding limits under the conditions of high permeability distributed power supply access is put forward. Secondly, the random power flow of distribution networks based on the Monte Carlo method is studied by sampling and analyzing the dynamic model of distribution networks. Then, the risk calculation and safety assessment of voltage exceeding limits are carried out on the currently extracted model, and the risk control strategy of distribution network operation is put forward. Finally, an impr... [more]
280. LAPSE:2023.30829
Power-Load Forecasting Model Based on Informer and Its Application
April 17, 2023 (v1)
Subject: Energy Management
Keywords: deep learning, Informer, power-load forecasting, self-attention mechanism, time series.
Worldwide, the demand for power load forecasting is increasing. A multi-step power-load forecasting model is established based on Informer, which takes the historical load data as the input to realize the prediction of the power load in the future. The constructed model abandons the common recurrent neural network to deal with time-series problems, and uses the seq2seq structure with sparse self-attention mechanism as the main body, supplemented by specific input and output modules to deal with the long-range relationship in the time series, and makes effective use of the parallel advantages of the self-attention mechanism, so as to improve the prediction accuracy and prediction efficiency. The model is trained, verified and tested by using the power-load dataset of the Taoyuan substation in Nanchang. Compared with RNN, LSTM and LSTM with the attention mechanism and other common models based on a cyclic neural network, the results show that the prediction accuracy and efficiency of the... [more]
281. LAPSE:2023.30826
Survey of Sustainable Energy Sources for Microgrid Energy Management: A Review
April 17, 2023 (v1)
Subject: Energy Management
Keywords: energy management, Energy Storage, microgrids, Renewable and Sustainable Energy.
Renewable energy sources are nowadays a viable choice to satisfy the rising energy consumption and promote the advancement of sustainable development. These systems are integrated into microgrids using a variety of technological solutions to ensure customer communication and distributed generation facilities in an optimal way. Energy management in microgrids refers to the information and control system that provides the necessary functionality to guarantee that the generating and distribution systems produce energy at the lowest expenses. This study analyzes the various optimization objectives, constraints, problem-solving techniques, and simulation tools used for connected and freestanding microgrids. It reviews the literature on energy control in microgrids powered by sustainable energy. Energy storage technology is also viewed as an intriguing alternative to managing the intermittent nature of renewable energy because of its advanced techniques, increased energy efficiency, and capa... [more]
282. LAPSE:2023.30824
The “Smart” Concept from an Electrical Sustainability Viewpoint
April 17, 2023 (v1)
Subject: Energy Management
Keywords: smart buildings, smart cities, smart devices, smart grids, smart houses.
Nowadays, there are many technological-intensive applications that claim to be “smart”. From smartphones to the smart grid, people relate the word smart with technical novelty, automation, enabled communication, and service integration. There is indeed a gap between those smart technologies and their intended “intelligence”; this has arisen an indirect debate between works focusing on automation and mechatronics design and others pursuing a conceptual approach based on fulfilling determinate objectives. One last approach relates the said smartness to deep learning methodologies. In this work, it is attempted to explore both perspectives by providing an overview of recent works around energy usage toward smart cities and the smart grid, pointing out the main conceptual pillars upon which both approaches stand. Certainly, there are enabling technologies supporting the smart concept overall; thus, this work addresses them to characterize “smart” not from technological or conceptual one-si... [more]
283. LAPSE:2023.30820
A Hybrid Feature Pyramid CNN-LSTM Model with Seasonal Inflection Month Correction for Medium- and Long-Term Power Load Forecasting
April 17, 2023 (v1)
Subject: Energy Management
Keywords: causal dilated convolution, feature pyramid CNN-LSTM hybrid neural network, medium- and long-term load forecasting.
Accurate medium- and long-term power load forecasting is of great significance for the scientific planning and safe operation of power systems. Monthly power load has multiscale time series correlation and seasonality. The existing models face the problems of insufficient feature extraction and a large volume of prediction models constructed according to seasons. Therefore, a hybrid feature pyramid CNN-LSTM model with seasonal inflection month correction for medium- and long-term power load forecasting is proposed. The model is constructed based on linear and nonlinear combination forecasting. With the aim to address the insufficient extraction of multiscale temporal correlation in load, a time series feature pyramid structure based on causal dilated convolution is proposed, and the accuracy of the model is improved by feature extraction and fusion of different scales. For the problem that the model volume of seasonal prediction is too large, a seasonal inflection monthly load correcti... [more]
284. LAPSE:2023.30797
A Robust Participation in the Load Following Ancillary Service and Energy Markets for a Virtual Power Plant in Western Australia
April 17, 2023 (v1)
Subject: Energy Management
Keywords: ancillary service, bidding strategy, customer engagement, energy market, gamification, internal rate of return, load-following ancillary service, payback period, virtual power plants, wholesale electricity market.
Virtual power plants (VPPs) are an effective platform for attracting private investment and customer engagement to speed up the integration of green renewable resources. In this paper, a robust bidding strategy to participate in both energy and ancillary service markets in the wholesale electricity market is proposed for a realistic VPP in Western Australia. The strategy is accurate and fast, so the VPP can bid in a very short time period. To engage customers in the demand management schemes of the VPP, the gamified approach is utilized to make the exercise enjoyable while not compromising their comfort levels. The modelling of revenue, expenses, and profit for the load-following ancillary service (LFAS) is provided, and the effective bidding strategy is developed. The simulation results show a significant improvement in the financial indicators of the VPP when participating in both the LFAS and energy markets. The payback period can be improved by 3 years to the payback period of 6 ye... [more]
285. LAPSE:2023.30761
Energy Harvesting Technologies and Devices from Vehicular Transit and Natural Sources on Roads for a Sustainable Transport: State-of-the-Art Analysis and Commercial Solutions
April 17, 2023 (v1)
Subject: Energy Management
Keywords: energy harvesting, piezoelectric transducers, solar roadways, vehicle transit, vibrations.
The roads we travel daily are exposed to several energy sources (mechanical load, solar radiation, heat, air movement, etc.), which can be exploited to make common systems and apparatus for roadways (i.e., lighting, video surveillance, and traffic monitoring systems) energetically autonomous. For decades, research groups have developed many technologies able to scavenge energy from the said sources related to roadways: electromagnetism, piezoelectric and triboelectric harvesters for the cars’ stress and vibrations, photovoltaic modules for sunlight, thermoelectric solutions and pyroelectric materials for heat and wind turbines optimized for low-speed winds, such as the ones produced by moving vehicles. Thus, this paper explores the existing technologies for scavenging energy from sources available on roadways, both natural and related to vehicular transit. At first, to contextualize them within the application scenario, the available energy sources and transduction mechanisms were iden... [more]
286. LAPSE:2023.30760
Distributed Energy Management for Networked Microgrids with Hardware-in-the-Loop Validation
April 17, 2023 (v1)
Subject: Energy Management
Keywords: alternating direction method of multipliers (ADMM), distributed optimization, energy management, hardware-in-loop (HIL), networked microgrids.
For the cooperative operation of networked microgrids, a distributed energy management considering network operational objectives and constraints is proposed in this work. Considering various ownership and privacy requirements of microgrids, utility directly interfaced distributed energy resources (DERs) and demand response, a distributed optimization is proposed for obtaining optimal network operational objectives with constraints satisfied through iteratively updated price signals. The alternating direction method of multipliers (ADMM) algorithm is utilized to solve the formulated distributed optimization. The proposed distributed energy management provides microgrids, utility-directly interfaced DERs and responsive demands the opportunity of contributing to better network operational objectives while preserving their privacy and autonomy. Results of numerical simulation using a networked microgrids system consisting of several microgrids, utility directly interfaced DERs and respons... [more]
287. LAPSE:2023.30708
Evaluation of Electric Power Quality in the Ship-Integrated Electrical Power System with a Main DC Bus and Power Semiconductor Electric Drives as Part of the Electric Propulsion Complex
April 17, 2023 (v1)
Subject: Energy Management
Keywords: calculation methodology, electric power system, electricity, losses, model, parasitic capacitance, quality.
The relevance of the work is connected to the energy efficiency of specialized vessels of the technical fleet. The purpose of the study was to determine and evaluate the power quality indicators associated with the non-sinusoidal shape of the voltage and current curves in the electrical power system of the marine platform support vessel, which contains powerful semiconductor propulsion electric drives, taking into account the inherent and parasitic parameters of the power three-phase cable lines. A simplified one-line diagram of an electric power system with a DC main bus was the object of the study, which was compiled as a result of the analysis of analog systems typical for the indicated type of vessels. The phenomenon of voltage and current distortion caused by the presence of higher harmonics generated by power semiconductor converters in a three-phase ship network was the subject of the research. For the experimental study of the quality of electric power according to the simplifi... [more]
288. LAPSE:2023.30672
AC Microgrid Protection System Design Challenges—A Practical Experience
April 14, 2023 (v1)
Subject: Energy Management
Keywords: distribution energy resources, microgrids, power distribution, power system protection.
Alternating current (AC) microgrids are the next step in the evolution of the electricity distribution systems. They can operate in a grid-tied or island mode. Depending on the services they are designed to offer, their grid-tied or island modes could have several sub-operational states and or topological configurations. Short-circuit current levels and protection requirements between different microgrid modes and configurations can vary significantly. Designing a microgrid’s protection system, therefore, requires a thorough understanding of all microgrid operational modes, configurations, transitional states, and how transitions between those modes are managed. As part of the microgrid protection design, speed and reliability of information flow between the microprocessor-based relays and the microgrid controller, including during microgrid failure modes, must be considered. Furthermore, utility protection practices and customer requirements are not always inclusive of the protection... [more]
289. LAPSE:2023.30605
Improving Power Quality by a Four-Wire Shunt Active Power Filter: A Case Study
April 14, 2023 (v1)
Subject: Energy Management
Keywords: distortion power, power quality, shunt active power filter, three-phase four-wire system, unbalanced load.
This paper presents the use of a three-phase four-wire shunt active power filter to improve the power quality in the Department of Industrial Electronics of a large enterprise from Romania. The specificity is given by the predominant existence of single-phase consumers (such as personal computers, printers, lighting and AC equipment). In order to identify the power quality indicators and ways to improve them, an A-class analyzer was used to record the electrical quantities and energy parameters in the point of common coupling (PCC) with the nonlinear loads for 27 h. The analysis shows that, in order to improve the power quality in PCC, three goals must be achieved: the compensation of the distortion power, the compensation of the reactive power and the compensation of the load unbalance. By using the conceived three-leg shunt active power filter, controlled through the indirect current control method in an original variant, the power quality at the supply side is very much improved. In... [more]
290. LAPSE:2023.30591
Standardization Challenges, Opportunities and Recent Evolutions for the G3-PLC Technology
April 14, 2023 (v1)
Subject: Energy Management
Keywords: G3-PLC, hybrid, NB-PLC, PLC, powerline communications, RF, smart grid, smart metering.
Considering the intrinsic benefits of power line communications, the long-lasting lifetime of industrial systems and the growth of IoT, PLC technologies will be part of the worldwide industrial landscape for many decades. This paper discusses the history of the G3-PLC technology and current challenges and opportunities identified in real systems. Finally, it introduces recent evolutions within the G3-PLC standard, which bring additional performance and versatility, enhancing the relevance of G3-PLC as a complementary technology to other telecommunication systems in a 5G-driven telecommunication technology landscape.
291. LAPSE:2023.30519
Laplacian Matrix-Based Power Flow Formulation for LVDC Grids with Radial and Meshed Configurations
April 14, 2023 (v1)
Subject: Energy Management
Keywords: constant power load, direct load flow, distributed generation, distribution system, graph theory, low voltage DC grids, meshed networks, power flow, radial networks.
There is an increasing interest in low voltage direct current (LVDC) distribution grids due to advancements in power electronics enabling efficient and economical electrical networks in the DC paradigm. Power flow equations in LVDC grids are non-linear and non-convex due to the presence of constant power nodes. Depending on the implementation, power flow equations may lead to more than one solution and unrealistic solutions; therefore, the uniqueness of the solution should not be taken for granted. This paper proposes a new power flow solver based on a graph theory for LVDC grids having radial or meshed configurations. The solver provides a unique solution. Two test feeders composed of 33 nodes and 69 nodes are considered to validate the effectiveness of the proposed method. The proposed method is compared with a fixed-point methodology called direct load flow (DLF) having a mathematical formulation equivalent to a backward forward sweep (BFS) class of solvers in the case of radial dis... [more]
292. LAPSE:2023.30518
A Hybrid Hilbert-Huang Method for Monitoring Distorted Time-Varying Waveforms
April 14, 2023 (v1)
Subject: Energy Management
Keywords: DFT, distorted current waveforms, empirical mode decomposition, Hilbert–Huang spectrum, power quality, prosumers, quasi-steady-state, time-frequency analysis.
The electric power systems together with the entire energy sector are rapidly evolving towards a low-carbon, secure, and competitive economy facing revolutionary transformations from technical structure to economic value chain. Pathways to achieve sustainability led to the development of new technologies, accommodation of larger shares of unpredictable and stochastic electricity transfer from sources to end-users without loss of reliability, new business models and services, data management, and so on. The new technologies and incentives for local energy communities along with large development of microgrids are main forces driving the evolution of the low voltage energy sector changing the context and paradigm of rigid contractual binding between utilities and end-user customers (now progressing to flexible prosumers with generation and storage capabilities). The flexibility and operation of a prosumer can be enhanced by a non-intrusive time-frequency analysis of distorted power quali... [more]
293. LAPSE:2023.30473
Parameter Selection for the Virtual Oscillator Control Applied to Microgrids
April 14, 2023 (v1)
Subject: Energy Management
Keywords: microgrid, parameter tuning, Virtual Oscillator Control, voltage-mode inverter.
Virtual Oscillator Control (VOC) is a promising technique that allows several inverters connected to a microgrid to naturally synchronize, without communication. However, the selection of the VOC parameters often require iterative or optimization procedures that render its practical use not straightforward. In this paper, this problem is overcome with the proposition of a novel methodology for determining the dead-zone type VOC parameters based on the describing function method. The methodology consists of a set of analytical equations that use as input data few basic electrical system parameters from the converter and from the microgrid, namely, the operating voltage and frequency ranges, besides rated power. The proposed set of equations is used to calculate the parameters required to control an inverter in voltage mode. The validity of the proposed approach is demonstrated in experiments that encompass different situations such as pre-synchronization, connection, and disconnection o... [more]
294. LAPSE:2023.30466
Review on Dynamic Simulation of Wind Diesel Isolated Microgrids
April 14, 2023 (v1)
Subject: Energy Management
Keywords: diesel generator, isolated microgrid, power quality, power system simulation, power system stability, wind turbine generator.
Wind diesel isolated microgrids (WDIMs) combine wind turbine generators (WTGs) with diesel generators (DGs) to supply electricity to remote consumers. WDIMs are low-inertia isolated power systems where large system frequency and voltage variations occur. WDIM dynamic modeling allows short-term simulations to be performed and detailed electrical variable transients to be obtained so that the WDIM power quality and stability can be tested. This paper presents a literature review about WDIM dynamic simulation. The review classifies articles according to factors such as the different WDIM operation modes (diesel only, wind−diesel and wind only) simulated, the types of WTGs used in the WDIM (constant- and variable-speed types), or the use of different short-term energy storage technologies (batteries, ultracapacitors, flywheels) to improve the WDIM power quality, stability and reliability. Papers about the dynamic simulation of related isolated microgrids are also reviewed. Finally, as an e... [more]
295. LAPSE:2023.30465
Penalty Electricity Price-Based Optimal Control for Distribution Networks
April 14, 2023 (v1)
Subject: Energy Management
Keywords: distribution networks, optimal control, optimal dispatching order, penalty electricity price, supply and demand balance.
With the integration of large-scale renewable energy and the implementation of demand response, the complexity and volatility of distribution network operations are increasing. This has led to the inconsistency between the actual net power consumption of power users and their optimal dispatching orders. As a result, the distribution networks cannot operate according to their optimization strategy. The study proposed a penalty electricity price mechanism and the optimal control method based on this electricity price mechanism for distribution networks. First, we established the structure of the distribution network optimal control system. Second, aiming at the actual net power consumption (including power generation and consumption) of power users tracking their dispatching orders, we established a penalty electricity price mechanism. Third, we designed an optimal control strategy and process of distribution networks based on the penalty electricity price. Finally, we verified the propo... [more]
296. LAPSE:2023.30452
Yo-Yo Inspired Triboelectric Nanogenerator
April 14, 2023 (v1)
Subject: Energy Management
Keywords: energy harvesting, hand-driven device, mechanical energy, triboelectric nanogenerator, Yo-Yo.
Recently, as the demand for sustainable and renewable energy to power a large number of small electronics and sensors has increased, various mechanical energy harvesters such as electromagnetic, piezoelectric, and triboelectric generators have been highlighted because they have no environmental constraints to generate electricity and function as sustainable power sources. Among these generators, triboelectric nanogenerators (TENGs), which produce electrical energy via triboelectrification and electrostatic induction, are a promising energy harvesting technology that can utilize existing materials or the structure of existing commercial products. Considering the vast number of independent portable electronics used today, the development of hand-driven TENGs is important. There is great demand for TENG considering both commercial product-inspired designs, which are the merit of TENG itself, and the hand-driven type. However, relevant studies are still lacking, and therefore further studi... [more]
297. LAPSE:2023.30447
Three-Dimensional Electro-Thermal Analysis of a New Type Current Transformer Design for Power Distribution Networks
April 14, 2023 (v1)
Subject: Energy Management
Keywords: current transformer, electro-thermal coupling, finite element analysis, thermal field.
In recent years, the new type design of current transformer with bushing structure has been widely used in the distribution network system due to its advantages of miniaturization, high mechanical strength, maintenance-free, safety and environmental protection. The internal temperature field distribution is an important characteristic parameter to characterize the thermal insulation and aging performance of the transformer, and the internal temperature field distribution is mainly derived from the joule heat generated by the primary side guide rod after flowing through the current. Since the electric environment is a transient field and the thermal environment changes slowly with time as a steady field under the actual conditions, it is more complex and necessary to study the electrothermal coupling field of current transformer (CT). In this paper, a 3D simulation model of a new type design of current transformer for distribution network based on electric-thermal coupling is establishe... [more]
298. LAPSE:2023.30442
Price-Response Matrices Design Methodology for Electrical Energy Management Systems Based on DC Bus Signalling
April 14, 2023 (v1)
Subject: Energy Management
Keywords: energy management, microgrids, nanogrids, power generation control, power management.
Prosumers’ electrical installations (PEIs), as nanogrids and low-voltage microgrids, have gained importance in recent years following the development of standards such as the IEC 60364-8 series. In these systems, all distributed energy resources (DERs) are usually integrated using dc bus coupling. The IEC 60364-8-3 predicts an electrical energy management system (EEMS) for power-sharing. The overall research framework of this paper is the nanogrid power management, where complex algorithms are required, as well as the conventional state machines and hierarchical controls. However, the addition of new DERs in such systems is not straightforward due to the complicated parameter settings for energy usage optimization. A different control strategy, named price-based power management, has been conceived to make the EEMS scalable to include new sources and simplify parameterization. Since it is analogous to economic markets, most users understand the concepts and feel comfortable tuning para... [more]
299. LAPSE:2023.30427
A Novel Multi-Area Distribution State Estimation Approach for Active Networks
April 14, 2023 (v1)
Subject: Energy Management
Keywords: active distribution networks, decentralized control strategy, multi-area state estimation, phasor measurement units, weighted least square.
This paper presents a hierarchically distributed algorithm for the execution of distribution state estimation function in active networks equipped with some phasor measurement units. The proposed algorithm employs voltage-based state estimation in rectangular form and is well-designed for large-scale active distribution networks. For this purpose, as the first step, the distribution network is supposed to be divided into some overlapped zones and local state estimations are executed in parallel for extracting operating states of these zones. Then, using coordinators in the feeders and the substation, the estimated local voltage profiles of all zones are coordinated with the local state estimation results of their neighboring zones. In this regard, each coordinator runs a state estimation process for the border buses (overlapped buses and buses with tie-lines) of its zones and based on the results for voltage phasor of border buses, the local voltage profiles in non-border buses of its... [more]
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