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Records with Subject: Energy Management
300. LAPSE:2023.30396
Measurement of Static Frequency Characteristics of Home Appliances in Smart Grid Systems
April 14, 2023 (v1)
Subject: Energy Management
Keywords: frequency response, frequency sensitivity coefficient, home appliances measurement, smart grid, static load characteristics.
The current transformation of power systems is aiming towards distributed source integration and general decentralization. Renewable energy sources and support of local energy supply create conditions for widespread use of new technologies and smart grids. As the electrical grids become more electrically independent, the importance of frequency control will rise. Stability of the system in such cases is no longer only relying on rotating inertia of generators as in the centralized grid. This known scenario has already been analyzed by many with computational models for optimal safety precautions of the grid. This paper aims to update the common home appliance frequency characteristics through measurements and compare them to those currently used. These devices were divided into two groups: general categorization and light sources. Subsequently, the frequency sensitivity coefficients were evaluated and analyzed home appliances were sorted into three categories according to the size of t... [more]
301. LAPSE:2023.30371
Extended SINDICOMP: Characterizing MV Voltage Transformers with Sine Waves
April 14, 2023 (v1)
Subject: Energy Management
Keywords: frequency response, harmonics, instrument transformer (IT), power quality (PQ), power system measurement, voltage measurement, voltage transformer (VT).
The paper presents a method for the frequency characterization of voltage transformers (VTs) for medium voltage (MV) grids which involves only sine waves. It is called extended SINDICOMP, since it is an extended version of the previously developed technique SINDICOMP. It requires, in the first step, an evaluation and a compensation of the non-linearity introduced by the VT when it is supplied with a 50 Hz sinusoidal input at rated value. Then, the VT is characterized with a low voltage sinusoidal frequency sweep from the second harmonic frequency up to the first resonance frequency. Some rules to build the approximated frequency response, starting from these two sets of data, are given in the paper. The proposed approach is applied to three commercial MV VTs. Significant improvement of the VT performance is obtained, compared to the use of a frequency response obtained from the low voltage characterization.
302. LAPSE:2023.30344
The Emerging Potential of Microgrids in the Transition to 100% Renewable Energy Systems
April 14, 2023 (v1)
Subject: Energy Management
Keywords: 100%, climate change, energy justice, Hawai‘i, microgrid, Puerto Rico, renewable, renewable portfolio standard, resilience, tariff.
International, national, and subnational laws and policies call for rapidly decarbonizing energy systems around the globe. This effort relies heavily on renewable electricity and calls for a transition that is: (i) flexible enough to accommodate existing and new electricity end uses and users; (ii) resilient in response to climate change and other threats to electricity infrastructure; (iii) cost-effective in comparison to alternatives; and (iv) just in the face of energy systems that are often the result of—or the cause of—procedural, distributive, and historical injustices. Acknowledging the intertwined roles of technology and policy, this work provides a cross-disciplinary review of how microgrids may contribute to renewable electricity systems that are flexible, resilient, cost-effective, and just (including illustrative examples from Korea, California, New York, the European Union, and elsewhere). Following this review of generalized microgrid characteristics, we more closely exam... [more]
303. LAPSE:2023.30337
Comparison of Two Solar Probabilistic Forecasting Methodologies for Microgrids Energy Efficiency
April 14, 2023 (v1)
Subject: Energy Management
Keywords: CRPS, probabilistic solar forecasting, quantile regression models.
In this paper, the performances of two approaches for solar probabilistic are evaluated using a set of metrics previously tested by the meteorology verification community. A particular focus is put on several scores and the decomposition of a specific probabilistic metric: the continuous rank probability score (CRPS) as they give extensive information to compare the forecasting performance of both methodologies. The two solar probabilistic forecasting methodologies are used to produce intra-day solar forecasts with time horizons ranging from 1 h to 6 h. The first methodology is based on two steps. In the first step, we generated a point forecast for each horizon and in a second step, we use quantile regression methods to estimate the prediction intervals. The second methodology directly estimates the prediction intervals of the forecasted clear sky index distribution using past data as inputs. With this second methodology we also propose to add solar geometric angles as inputs. Overall... [more]
304. LAPSE:2023.30275
Distribution Network Hierarchically Partitioned Optimization Considering Electric Vehicle Orderly Charging with Isolated Bidirectional DC-DC Converter Optimal Efficiency Model
April 14, 2023 (v1)
Subject: Energy Management
Keywords: DC–DC converter, electric vehicle, medium voltage distribution network, orderly charging, reconfiguration, switch station.
The access of large-scale electric vehicles (EVs) will increase the network loss of medium voltage distribution network, which can be alleviated by adjusting the network structure and orderly charging for EVs. However, it is difficult to accurately evaluate the charging efficiency in the orderly charging of electric vehicle (EV), which will cause the scheduling model to be insufficiently accurate. Therefore, this paper proposes an EV double-layer scheduling model based on the isolated bidirectional DC−DC (IBDC) converter optimal efficiency model, and establishes the hierarchical and partitioned optimization model with feeder−branch−load layer. Firstly, based on the actual topology of medium voltage distribution network, a dynamic reconfiguration model between switching stations is established with the goal of load balancing. Secondly, with the goal of minimizing the branch layer network loss, a dynamic reconstruction model under the switch station is established, and the chaotic niche... [more]
305. LAPSE:2023.30273
Energy Sector Risk and Cost of Capital Assessment—Companies and Investors Perspective
April 14, 2023 (v1)
Subject: Energy Management
Keywords: cost of capital, European energy sector, intra-industry analysis, WACC.
This paper aims to identify the costs of capital in a group of companies from the energy sector by including an investor and market risk approach. The study also concerns the company’s Weighted Average Cost of Capital (WACC) cost intra-industry analysis related to sector characteristics such as total assets, revenues, market capitalization, and companies’ age. In order to assess the intergroup relationships, basic correlation relationships were compared and a nonparametric test of variance was performed. The period under study covered the years 2015−2019. The conducted research evaluates groups of companies that dedicated their activity to a particular energy intra-industry division under numerous regulations in Europe. The study contributes to assessing the level of risk among energy listed companies in European capital markets based on capital structure valuation. The study results underline the role of the cost of equity financing, which was twice as high as the cost of debt. The hi... [more]
306. LAPSE:2023.30272
Optimal Capacity Allocation of Energy Storage in Distribution Networks Considering Active/Reactive Coordination
April 14, 2023 (v1)
Subject: Energy Management
Keywords: Energy Storage, Genetic Algorithm, life cycle cost, mixed integer second-order cone programming.
Energy storage system (ESS) has been advocated as one of the key elements for the future energy system by the fast power regulation and energy transfer capabilities. In particular, for distribution networks with high penetration of renewables, ESS plays an important role in bridging the gap between the supply and demand, maximizing the benefits of renewables and providing various types of ancillary services to cope the intermittences and fluctuations, consequently improving the resilience, reliability and flexibility. To solve the voltage fluctuations caused by the high permeability of renewables in distribution networks, an optimal capacity allocation strategy of ESS is proposed in this paper. Taking the life cycle cost, arbitrage income and the benefit of reducing network losses into consideration, a bilevel optimization model of ESS capacity allocation is established, the coordination between active/reactive power of associate power conversion system is considered, and the large sca... [more]
307. LAPSE:2023.30259
Effect of Daily Forecasting Frequency on Rolling-Horizon-Based EMS Reducing Electrical Demand Uncertainty in Microgrids
April 14, 2023 (v1)
Subject: Energy Management
Keywords: demand uncertainty, energy management system, forecasting error, microgrids, rolling horizon.
Accurate forecasting is a crucial task for energy management systems (EMSs) used in microgrids. Despite forecasting models destined to EMSs having been largely investigated, the analysis of criteria for the practical execution of this task, in the framework of an energy management algorithm, has not been properly investigated yet. On such a basis, this paper aims at exploring the effect of daily forecasting frequency on the performance of rolling-horizon EMSs devised to reduce demand uncertainty in microgrids by adhering to a reference planned profile. Specifically, the performance of a sample EMS, where the forecasting task is committed to a nonlinear autoregressive network with exogenous inputs (NARX) artificial neural network (ANN), has been studied under different daily forecasting frequencies, revealing a representative trend relating the forecasting execution frequency in the EMS and the reduction of uncertainty in the electrical demand. On the basis of such a trend, it is possib... [more]
308. LAPSE:2023.30251
Analysis of the Practical Implementation of Flicker Measurement Coprocessor for AMI Meters
April 14, 2023 (v1)
Subject: Energy Management
Keywords: AMI meters with power quality indicators, fixed-point arithmetic, flicker measurements, FPGA, power quality, voltage fluctuations.
Monitoring power quality (PQ) indicators is an important part of modern power grids’ maintenance. Among different PQ indicators, flicker severity coefficients Pst and Plt are measures of voltage fluctuations. In state-of-the-art PQ measuring devices, the flicker measurement channel is usually implemented as a dedicated processor subsystem. Implementation of the IEC 61000-4-15 compliant flicker measurement algorithm requires a significant amount of computational power. In typical PQ analysers, the flicker measurement is usually implemented as a part of the meter’s algorithm performed by the main processor. This paper considers the implementation of the flicker measurement as an FPGA module to offload the processor subsystem or operate as an IP core in FPGA-based system-on-chip units. The measurement algorithm is developed and validated as a Simulink diagram, which is then converted to a fixed-point representation. Parts of the diagram are applied for automatic VHDL code generation, and... [more]
309. LAPSE:2023.30224
Virtual Inertia Control Methods in Islanded Microgrids
April 14, 2023 (v1)
Subject: Energy Management
Keywords: frequency control, islanded microgrid, Renewable and Sustainable Energy, virtual inertia control.
Although the deployment and integration of isolated microgrids is gaining widespread support, regulation of microgrid frequency under high penetration levels of renewable sources is still being researched. Among the numerous studies on frequency stability, one key approach is based on integrating an additional loop with virtual inertia control, designed to mimic the behavior of traditional synchronous machines. In this survey, recent works related to virtual inertia control methods in islanded microgrids are reviewed. Based on a contextual analysis of recent papers from the last decade, we attempt to better understand why certain control methods are suitable for different scenarios, the currently open theoretical and numerical challenges, and which control strategies will predominate in the following years. Some of the reviewed methods are the coefficient diagram method, H-infinity-based methods, reinforcement-learning-based methods, practical-swarm-based methods, fuzzy-logic-based met... [more]
310. LAPSE:2023.30215
Simulation of Energy Exchange between Single Prosumer Residential Building and Utility Grid
April 14, 2023 (v1)
Subject: Energy Management
Keywords: buffer battery, cover factor, distributed generation, Energy Storage, green energy, load shifting, microgrids, self-consumption, Simulation, wind energy.
Modern households usually have independent energy sources such as wind generators, photovoltaic (PV) panels, and similar green energy production equipment. Experts predict that soon, there will be an increasing number of such prosumers who both produce and consume energy. This process alleviates and reduces the load on large national electricity networks and also contributes to overall energy security. In this paper, a simulation model of a household, which employs a wind generator as its independent source of electricity, is developed. It is expected that this approach will be easily replicated for more complex configurations. The other components of the single prosumer microgrid that will be assessed are the non-shiftable electricity consumption equipment, which is used mainly in households and deployed separately for water heater, with a separate battery to meet the needs of these non-shiftable consumers. The 5-min data intervals for the year of simulation have been used. The charac... [more]
311. LAPSE:2023.30198
The Impact of Weather Factors on Quotations of Energy Sector Companies on Warsaw Stock Exchange
April 14, 2023 (v1)
Subject: Energy Management
Keywords: behavioral finance, econometrics, energy sector, mood, weather.
Recent researches on behavioral finance have tested for, among others, evidence for the relations between weather, investors’ mood, and investment decisions. Many of the researches related to the influence of some weather factors, such as sunshine duration on stock exchange returns, but there is no complex research taking into account a wide group of weather factors determining investors’ mood. The main goal of the article is to verify the influence of weather factors on basic market parameters of energy sector companies quoted on the Warsaw Stock Exchange. Rates of return, trading volumes, and values of trading volume are taken into account during the research. All analyses are based on econometric models assuming the existence of typical problems of estimation such as: autocorrelation of residuals, heteroskedasticity, or abnormality of residuals. The best approximation of models was obtained for GARCH (Generalized Autoregressive Conditional Heteroskedasticity) type models.
312. LAPSE:2023.30119
Optimal Siting and Sizing of Battery Energy Storage: Case Study Seventh Feeder at Nakhon Phanom Substation in Thailand
April 14, 2023 (v1)
Subject: Energy Management
Keywords: battery energy storage systems, distribution networks, optimal siting and sizing, Particle Swarm Optimization, state of energy.
The optimal siting and sizing of battery energy storage system (BESS) is proposed in this study to improve the performance of the seventh feeder at Nakhon Phanom substation, which is a distribution network with the connected photovoltaic (PV) in Thailand. The considered objective function aims to improve the distribution network performance by minimizing costs incurred in the distribution network within a day, comprising of voltage regulation cost, real power loss cost, and peak demand cost. Particle swarm optimization (PSO) is applied to solve the optimization problem. It is found that the optimal siting and sizing of the BESS installation could improve the performance of the distribution network in terms of cost minimization, voltage profile, real power loss, and peak demand. The results are investigated from three cases where case 1 is without PV and BESS installation, case 2 is with only PV installation, and case 3 is with PV and BESS installations. The comparison results show that... [more]
313. LAPSE:2023.29996
Double-Target Based Neural Networks in Predicting Energy Consumption in Residential Buildings
April 14, 2023 (v1)
Subject: Energy Management
Keywords: air conditioning, Artificial Intelligence, Big Data, consumption prediction, deep learning, Energy Efficiency, heating loads, heating ventilation, Machine Learning, metaheuristic, operational research.
A reliable prediction of sustainable energy consumption is key for designing environmentally friendly buildings. In this study, three novel hybrid intelligent methods, namely the grasshopper optimization algorithm (GOA), wind-driven optimization (WDO), and biogeography-based optimization (BBO), are employed to optimize the multitarget prediction of heating loads (HLs) and cooling loads (CLs) in the heating, ventilation and air conditioning (HVAC) systems. Concerning the optimization of the applied algorithms, a series of swarm-based iterations are performed, and the best structure is proposed for each model. The GOA, WDO, and BBO algorithms are mixed with a class of feedforward artificial neural networks (ANNs), which is called a multi-layer perceptron (MLP) to predict the HL and CL. According to the sensitivity analysis, the WDO with swarm size = 500 proposes the most-fitted ANN. The proposed WDO-ANN provided an accurate prediction in terms of heating load (training (R2 correlation =... [more]
314. LAPSE:2023.29955
Forecasting of 10-Second Power Demand of Highly Variable Loads for Microgrid Operation Control
April 14, 2023 (v1)
Subject: Energy Management
Keywords: big dynamics loads, interval type 2 fuzzy logic system, Machine Learning, microgrids, operation control, power demand, very short-term forecasting.
This paper addresses very short-term (10 s) forecasting of power demand of highly variable loads. The main purpose of this study is to develop methods useful for this type of forecast. We have completed a comprehensive study using two different time series, which are very difficult to access in practice, of 10 s power demand characterized by big dynamics of load changes. This is an emerging and promising forecasting research topic, yet to be more widely recognized in the forecasting research community. This problem is particularly important in microgrids, i.e., small energy micro-systems. Power demand forecasting, like forecasting of renewable power generation, is of key importance, especially in island mode operation of microgrids. This is due to the necessity of ensuring reliable power supplies to consumers. Inaccurate very short-term forecasts can cause improper operation of microgrids or increase costs/decrease profits in the electricity market. This paper presents a detailed stati... [more]
315. LAPSE:2023.29949
Multiple Solutions of the Tristable Energy Harvester
April 14, 2023 (v1)
Subject: Energy Management
Keywords: basins of attraction, energy harvesting, multiple-solutions, nonlinear dynamics, TEH.
This paper presents the results of numerical simulations of a non-linear, tristable system for harvesting energy from vibrating mechanical devices. Detailed model tests were carried out in relation to the system consisting of a beam and three permanent magnets. Based on the derived mathematical model and assuming a range of control parameter variability, a three-dimensional image of the distribution of the largest Lyapunov exponent was plotted. On its basis, the regions of chaotic and predictable movement of the considered system exist have been established. With reference to selected plane of the largest Lyapunov exponent cross-sections, possible co-existing solutions were identified. To identify multiple solutions, a diagram of solutions (DS) diagram was used to illustrate the number of existing solutions and their periodicity. The proposed calculation tool is based on the so-called fixed points of Poincaré cross-section. In relation to selected values of the control parameter ω, coe... [more]
316. LAPSE:2023.29943
Massive Generation of Customer Load Profiles for Large Scale State Estimation Deployment: An Approach to Exploit AMI Limited Data
April 14, 2023 (v1)
Subject: Energy Management
Keywords: active network management, customer clustering, energy management system, load profiles, smart grid, smart meter, state estimation.
The management of the distribution network is becoming increasingly important as the penetration of distributed energy resources is increasing. Reliable knowledge of the real-time status of the network is essential if algorithms are to be used to help distribution system operators define network configurations. State Estimation (SE) algorithms are capable of producing such an accurate snapshot of the network state but, in turn, require a wide range of information, e.g., network topology, real-time measurement and power profiles from customers/productions. Those profiles which may, in principle, be provided by smart meters are not always available due to technical limitations of existing Advanced Metering Infrastructure (AMI) in terms of communication, storage and computing power. That means that power profiles are only available for a subset of customers. The paper proposes an approach that can overcome these limitations: the remaining profiles, required by SE algorithms, are generated... [more]
317. LAPSE:2023.29932
Initial Results of an Extensive, Long-Term Study of the Forecasting of Voltage Sags
April 14, 2023 (v1)
Subject: Energy Management
Keywords: forecasting method, power quality, voltage sags.
This paper presents the preliminary results of our research activity aimed at forecasting the number of voltage sags in distribution networks. The final goal of the research is to develop proper algorithms that the network operators could use to forecast how many voltage sags will occur at a given site. The availability of four years of measurements at Italian Medium Voltage (MV) networks allowed the statistical analyses of the sample voltage sags without performing model-based simulations of the electric systems in short-circuit conditions. The challenge we faced was to overcome the barrier of the extremely long measurement times that are considered mandatory to obtain a forecast with adequate confidence. The method we have presented uses the random variable time to next event to characterize the statistics of the voltage sags instead of the variable number of sags, which usually is expressed on an annual basis. The choice of this variable allows the use of a large data set, even if o... [more]
318. LAPSE:2023.29923
Identifying Challenges in Engaging Users to Increase Self-Consumption of Electricity in Microgrids
April 14, 2023 (v1)
Subject: Energy Management
Keywords: design methodology, energy community, microgrid, passive prosumer, playful triggers, price model, self-consumption, user engagement.
A microgrid’s self-consumption rate reflects its ability to retain its own energy and decrease its reliance on the synchronous grid. This paper investigates the empirical case of a microgrid equipped with photovoltaic (PV) panels and identifies challenges in engaging the microgrid’s users to increase their self-consumption. Accordingly, we explored both the physical and social dimensions of the microgrid. The former involved mapping the electricity consumption and production through an exploratory data analysis, and evaluating the associated price signals, while the latter involved the use of design interventions to explore users’ perceptions of the system. We highlight the problem of price signal impedance, the need for cost reflective pricing and the challenge in designing and extending internal price models in settings with various actors. We address the limitations of price signals, alongside alternative unidimensional signals, and emphasize the need for an integrated approach to a... [more]
319. LAPSE:2023.29920
Differences in Disclosure of Integrated Reports at Energy and Non-Energy Companies
April 14, 2023 (v1)
Subject: Energy Management
Keywords: disclosure differences, energy sector, gt Framework, integrated report, International &, IR&, lt, quality of disclosure.
Integrated reports combine financial and non-financial data into a comprehensive report outlining the company’s value creation process. Our objective is to find the completeness of disclosures, which is a crucial aspect of an integrated report’s quality. This study contributes to the integrated reporting examination by identifying quantitative and qualitative gaps when applying Integrated Reporting standards, focusing on the energy sector. We conducted the study on 57 published integrated reports of listed companies in Poland. The content of each report was examined for 49 features divided into eight areas. We identify the strengths and weaknesses of current reporting performance and the impact of the company’s sector on reports’ quality. We noted that there are significant differences among the areas. The major problems concern implementing IIRC’s framework on the connections between the business model and the organization’s strategy, risks, opportunities, and performance. Our researc... [more]
320. LAPSE:2023.29915
Attenuation of Zero Sequence Voltage Using a Conventional Three-Wire Dynamic Voltage Restorer
April 14, 2023 (v1)
Subject: Energy Management
Keywords: dynamic voltage restorer, power quality, voltage sags/swells, zero sequence attenuation.
Voltage sags/swells and harmonics are recurring problems in electric energy distribution systems. In order to solve these issues, several dynamic voltage restorer (DVR) topologies, such as the conventional three-wire DVR, have been proposed in the literature. Despite its capability of mitigating voltage disturbances, many researchers have established that conventional three-wire DVR cannot compensate for zero sequence voltage disturbances. In this paper, an in-depth study of the conventional three-phase DVR is presented, which shows that this DVR topology can also be used to attenuate zero sequence voltage components without increasing control complexity. The necessary conditions for this to occur are discussed in details and a brief comparison between the conventional three-wire DVR and other DVR topologies that can compensate for zero sequence voltage disturbances is made. Experimental results are included to validate the theoretical study.
321. LAPSE:2023.29885
Effects of Voltage Interharmonics on Cage Induction Motors
April 14, 2023 (v1)
Subject: Energy Management
Keywords: induction motors, interharmonics, power quality, power system, torsional vibration, vibration, voltage fluctuations.
In a power system, the voltage waveform usually contains harmonics and sometimes interharmonics, often defined as components of frequency greater than the fundamental voltage component but not of its integer multiple. Previous studies have reported a minor effect of voltage interharmonics on a cage induction machine. This paper reveals their extraordinary harmfulness for induction motors. Namely, voltage interharmonics may cause high vibration, which can result in machine damage. In addition, interharmonics can lead to torque pulsations corresponding to the natural frequency of the first elastic mode. Consequently, possible torsional resonance may cause destruction of a power train. In this study, the results of investigations on undesirable phenomena due to interharmonics are presented for seven motors with a rated power 3 kW−5.6 MW.
322. LAPSE:2023.29883
Configurations, Power Topologies and Applications of Hybrid Distribution Transformers
April 14, 2023 (v1)
Subject: Energy Management
Keywords: distribution transformers, hybrid transformers, partial power converter, power electronics converter, power quality, transformer lifetime.
Distribution systems are under constant stress due to their highly variable operating conditions, which jeopardize distribution transformers and lines, degrading the end-user service. Due to transformer regulation, variable loads can generate voltage profiles out of the acceptable bands recommended by grid codes, affecting the quality of service. At the same time, nonlinear loads, such as diode bridge rectifiers without power factor correction systems, generate nonlinear currents that affect the distribution transformer operation, reducing its lifetime. Variable loads can be commonly found at domiciliary levels due to the random operation of home appliances, but recently also due to electric vehicle charging stations, where the distribution transformer can cyclically vary between no-load, rated and overrated load. Thus, the distribution transformer can not safely operate under highly-dynamic and stressful conditions, requiring the support of alternative systems. Among the existing solu... [more]
323. LAPSE:2023.29882
A Novel Co-Phase Power Supply System for Electrified Railway Based on V Type Connection Traction Transformer
April 14, 2023 (v1)
Subject: Energy Management
Keywords: co-phase power supply technology, comprehensive compensation, power quality, Static Var Generator (SVG), V type connection traction transformer.
Power quality and neutral section are two technical problems that hinder the development of electrified railway to high-speed and heavy railway. The co-phase power supply technology is one of the best ways to solve these two technical problems. At present, a V type connection traction transformer is widely used in a power frequency single-phase AC traction power supply system, especially in high-speed railway. In this paper, a new type of co-phase power supply system for electrified railway based on V type connection traction transformer is proposed. One single-phase winding in the V type connection traction transformer is used as main power supply channel, and three ports are used as compensation ports. Neutral section is no longer set with traction substation, and the train is continuously powered through. The independent single-phase Static Var Generators (SVGs) are used to compensate the three-phase imbalance caused by single-phase traction load. When necessary, the power factor ca... [more]
324. LAPSE:2023.29871
On Adaptive Moving Average Algorithms for the Application of the Conservative Power Theory in Systems with Variable Frequency
April 14, 2023 (v1)
Subject: Energy Management
Keywords: adaptive moving averages, circular buffers, electrical measurements, power quality, power theories.
The Conservative Power Theory (CPT) emerged in recent decades as a theoretical framework for coping with harmonically distorted and unbalanced electric networks of ac power systems with a high participation of converter interfaced loads and generation. The CPT measurements are intrinsically linked to moving averages (MA) over one period of the grid. If the CPT is to be used in a low-inertia isolated-grid scenario, which is subjected to frequency variations, adaptive moving averages (AMA) are necessary. This paper reviews an efficient way of computing MAs and turns it into an adaptive one. It shows that an easily available variable time delay block, from MATLAB, causes steady-state errors in the measurements when the grid frequency varies. A new variable time delay block is, thus, proposed. Nonetheless, natural pulsations in the instantaneous power slip through MAs when the discrete moving average window does not fit perfectly the continuously varying period of the grid. A method consis... [more]
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