Flexibility Index Research Articles

A comparative analysis of the evaluation system for comprehensive reform of agricultural water prices in China

Water is a fundamental natural resource that affects human and social development, and also plays an important role in modern agricultural production and food security. In China, agricultural water consumption accounts for the majority of the total water consumption. For a long time, China has not fully implemented water pricing and payment for agricultural water, and the lower agricultural water cost have led to the waste of water resource and the rapid conversion of agricultural water to other industries. In order to avoid agricultural water waste and achieve the goal of agricultural sustainable development, the Chinese government has launched a comprehensive reform of agricultural water prices nationwide since 2016. According to the plan, nowadays, the reform will faces overall evaluation and acceptance in 2024 and 2025. However, there is a lack of a relatively unified and flexible nationwide evaluation index system and acceptance measures. In this study, a comparative research of the evaluation system for comprehensive reform of agricultural water prices was developed. Based on existing evaluation and acceptance measures issued by four typical provincial regions, this study compared and analyzed the compliance and similarities and differences of these acceptance measures with national reform policies and requirements. From the aspects of evaluation procedure and index system, a systematic comparative analysis was conducted on the integrity and differences in the four regions. At the same time, suggestions were given for policy-making of national evaluation process and standard. The comparative analysis results showed that the evaluation indices in the four provincial regions have met all the key points of national reform policies and have a complete system, but there were significant differences in the structure of the evaluation index system in different provincial regions. It is recommended to establish a simple, relatively unified and practical national evaluation and acceptance system as soon as possible. In addition, evaluation criteria for individual specific indices should be determined by region based on the differences in economic capacity and agricultural water conservancy facilities conditions.

A perspective on alignment between steady‐state design and control for a distillation system in the context of flexibility analysis

AbstractThis perspective paper discusses the alignment between steady‐state design and control (dynamic) simulation in the context of flexibility analysis for distillation systems. Operational variations, such as fluctuations in feed composition or flowrate, can stem from external factors like raw material quality or temperature variations. These disturbances need to be mitigated to ensure optimal industrial performance. Traditionally, these process uncertainties are usually considered in a sequential manner, where the steady‐state flowsheet is established first, and control performance is analyzed afterwards. However, recent studies have started integrating flexibility index into the design phase to account for process uncertainties. While this integration has improved design strategies, aligning steady‐state and dynamic control simulations for comprehensive flexibility analysis remains underexplored. In this paper, we wish to share new perspectives and insights we have observed by analyzing the existing literature. We highlight some points not immediately apparent in our previous studies, hoping these insights will serve as guidelines for future research in this direction. We believe that validating results between steady‐state and control simulations is a long‐term endeavor that cannot be conclusively addressed soon. However, we hope this paper will be valuable to future researchers, contributing to advancing this field and reaching those who will appreciate and build upon these insights. © 2024 Society of Chemical Industry (SCI). Published by John Wiley & Sons Ltd

Flexibility potential quantification of electric vehicle charging clusters

A significant obstacle to providing flexibility services with electric vehicles (EVs) is the uncertainty surrounding the profitability and flexibility potential of charging clusters when utilised as a flexible load. Currently, there is a lack of comprehensive and easily applicable methods for quantifying flexibility in the literature. This paper introduces an evaluation tool and a set of flexibility indexes to assess the capability of charging clusters to deliver flexibility services. The method is designed to evaluate and quantify the flexibility potential of charging clusters in terms of short-term and long-term power adjustments and charge scheduling. Through sensitivity analysis, we examine how connection capacity, EV battery capacities, power capabilities, and the number of daily charging sessions influence the flexibility potential of charging clusters. Our findings highlight a direct relationship between the grid connection capacity of clusters and their ability to perform short-term power adjustments. Moreover, while larger batteries tend to reduce energy and time flexibility, their increased storage capability facilitates managing and scheduling a larger energy volume. Furthermore, for the days analysed, the flexibility potential showed minimal sensitivity to the number of daily charging sessions. Instead, the amount of energy requested and connection patterns emerge as key determinants of overall flexibility. In summary, this research provides valuable insights that can inform the design, monitoring, and assessment of EV charging clusters when evaluating their suitability for various flexibility services.

Disorders of gut-brain interaction through the lens of polyvagal theory.

This paper introduces a metric capable of tracking a hypothetical brainstem "switching" mechanism involved in regulating the afferent influence of blood pressure on the vagal efferent control of heart rate. In theory, this metric could be applied to evaluate the "efficiency" of brainstem pathways involved in common mechanisms of autonomic function involving the vagal influences on the gut as well as the heart. Thus, by exploring the dynamic "efficiency" of the brainstem feedback circuit linking heart rate to posture, a clinically relevant index of vagal flexibility might be extracted that would provide a generalizable window into the vagal regulation of both the heart and gut. Recent research supports this contention and has documented that this metric, VE, appears to covary with disorders of the gut. Clinical application of this metric might identify individual vulnerabilities that frequently reflect symptoms assumed to have features of a dysregulated autonomic nervous system (i.e., dysautonomia). If this is confirmed by additional research, then this objective measure of neural regulation of autonomic function might provide insight into the pathogenesis of disorders of gut-brain interaction.

Sustainability of Asphalt Mixtures Containing 50% RAP and Recycling Agents

The substitution of virgin asphalt binder with reclaimed asphalt pavement (RAP) has environmental and economic merits, however, cracking susceptibility arises due to the aged asphalt binder within RAP. The objectives of this study are to (1) enhance the cracking resistance of asphalt mixtures containing 50% RAP utilizing recycling agents (RAs) derived from six petroleum-based and bio-based materials, (2) conduct an environmental impact assessment (represented by global warming potential “GWP”) for high-RAP mixtures including RAs, and (3) estimate the cost effectiveness of including high-RAP content in asphalt mixtures. Based on the RAP asphalt binder performance grade (PG), base asphalt binder PG, and RAP content, the RA contents were determined to achieve a target asphalt binder of PG 76-22. A control mixture was benchmarked for comparison, specified for high-traffic volume roads, and contained PG 76-22 polymer-modified asphalt binder. The engineering performance of studied asphalt mixtures was evaluated using the Hamburg wheel-tracking (HWT), semi-circular bend, Illinois flexibility index, Ideal cracking tolerance, and thermal stress-restrained specimen tensile strength tests. It was found that petroleum-derived aromatic oil, soy-based oil, and tall oil fatty acid-based RAs demonstrated a successful restoration of aged RAP asphalt binder without compromising the permanent deformation resistance. The 50% RAP mixtures emitted less GWP by 41% and 42.9% using petroleum- and bio-oil RAs, respectively, and achieved a 31% cost reduction compared to the control mixtures.

Fracture characteristics of SMA mixtures with hydrated lime through the semi-circular bending approach

Stone Mastic Asphalt (SMA) is a composite mixture made up of high-quality crushed stone, fine aggregates, an asphalt binder, and a significant percentage of mineral filler in contrast to conventional mixtures. Renowned for its durability and rolling resistance, it is predominantly employed as a surface “wearing” course on main roads subjected to heavy traffic, but it can also be used as a binder course under specific project requirements. In this study, we investigated the effect of hydrated lime as a partial replacement of limestone filler at various concentrations on the mechanical and cracking resistance characteristics of 10-mm SMA mixtures. The semi-circular bending (SCB) test, which is pivotal for understanding the cracking mechanism was used to assess the mixtures performance-related response to this distress type. The mixture cores were produced with granite aggregates, limestone filler as natural filler, hydrated lime as natural filler replacement, and a 30/45 penetration asphalt type. Mixtures containing 1.1 %, 2.2 %, and 3.4 % of hydrated lime by weight of aggregates were evaluated, in addition to a control mixture without hydrated lime. The factors considered for comparing the mixtures included: load and deformation curves, stiffness, fracture toughness, fracture energy, and flexibility index of the mixtures. The experimental program also comprised a set of various test temperatures (0°C, 10°C, and 20°C) to better understand the cracking mechanism. Experimental results indicated a significant performance-dependency on the HL concentration and the test temperature. Precisely, it was found that the mixture with the highest hydrated lime content (3.4 %) exhibited the best cracking performance at 0°C and 20°C, making it a suitable filler replacement concentration. However, at 10°C, the mixture containing 2.2 % hydrated lime showed the most consistent performance overall, suggesting and important improvement in asphalt mixtures’ cracking resistance. Overall, these findings obtained from the SCB test approach substantiate the potential benefit of hydrated lime filler replacement in optimizing the cracking performance and durability of SMA mixtures under varying temperature conditions and loading regimes.

Fiber Showdown: A Comparative Analysis of Glass vs. Polypropylene Fibers in Hot-Mix Asphalt Fracture Resistance

Cracks in asphalt mixtures compromise the structural integrity of roads, increase maintenance costs, and shorten pavement lifespan. These cracks allow for water infiltration, accelerating pavement deterioration and jeopardizing vehicle safety. This research aims to evaluate the impact of synthetic fibers, specifically glass fiber (GF) and polypropylene fiber (PPF), on the crack resistance of Hot-Mix Asphalt (HMA). An optimal asphalt binder content of 5% was used in all sample designs. Using the dry mixing technique, GFs and PPFs were incorporated into the HMA at dosages of 0.50%, 1.00%, and 1.50% by weight of the aggregate. The effects of these fibers on the mechanical fracture properties of the HMA were assessed using Semi-Circular Bending (SCB), Indirect Tensile Asphalt Cracking Tests (IDEAL-CTs), and Three-Point Bending (3-PB) tests. This study focused on fracture parameters such as fracture work, peak load, fracture energy, and crack indices, including the Flexibility Index (FI) and Crack Resistance Index (CRI). The results from the SCB and IDEAL-CT tests showed that increasing GF content from 0.5% to 1.5% significantly enhances the flexibility and crack resistance of HMA, with FI, CRI, and CT Index values increasing by 247.5%, 55%, and 101.35%, respectively. Conversely, increasing PPF content increases the mixture’s stiffness and reduces its crack resistance. The PP-1 mixture exhibited higher FI and CT Index values, with increases of 31.1% and 10%, respectively, compared to the PP-0.5 mixture, based on SCB and IDEAL-CT test results. The SCB, IDEAL-CT, and 3-PB test results concluded that fibers significantly influence the fracture properties of bituminous mixtures, with a 1% reinforcement dosage of both PPFs and GFs being optimal for enhancing performance across various applications.

The GDL Vulnerability Index (GVI)

In this paper we present the GDL Vulnerability Index (GVI), a new composite index to monitor and analyse the human components of vulnerability to climate change, natural disasters, and other kinds of shocks, for societies and geographic areas across the globe. The GVI is a simple and flexible index designed for use by experts as well as non-experts in the climate field, including researchers, (local) politicians, NGO’s, journalists, advocacy groups and grassroot movements. The GVI is based on an additive formula that summarizes the essence of seven socioeconomic dimensions of vulnerability into a single number. This formula approach sets this index apart from other existing indices. Any person who knows the values of the underlying indicators can compute the vulnerability score of an area by filling in these values in the GVI formula. Validity tests show that the data-driven GVI measures the vulnerability dimensions coping capacity, adaptive capacity and susceptibility as well as major expert-based indices. This offers great prospects for use in situations where no other vulnerability information is available. Here we explain the construction of the GVI, test its validity and present GVI values for (almost) all countries of the world and for major global regions.

Security constrained unit commitment in smart energy systems: A flexibility-driven approach considering false data injection attacks in electric vehicle parking lots

In this paper, a new structure, the so-called FBSCUCFDIP-P/EV is proposed as flexibility-based security constrained unit commitment (SCUC) in the presence of false data injection (FDI) attack into the communication infrastructure of electric vehicle parking lot (EVPL). Herein, the uncertain EVPLs are integrated into the SCUC problem with the aim of reducing the operation cost. It is notable that growing integration of unspecified EVPLs can introduce novel challenges to the power system, significantly impacting its flexibility. In this study, electric vehicles are leveraged as a means to enhance system flexibility. Meanwhile, the FDI attacks in EVPLs can distort the system’s flexibility and lead to inaccurate assessments of the power system’s ability to adapt to changing conditions. In order to model the FDI attack, a bi-level optimization problem based on mixed integer linear programming is formulated. At the upper level, the impact of EVPLs on the flexibility indices of the SCUC is evaluated, and the false data injected into the EVPL is calculated at the lower level. Since both levels of the proposed FBSCUCFDIP-P/EV include discrete variables, a reformulation and decomposition technique is utilized to achieve the optimal solution. Instead, an extreme gradient boosting (XGBoost)-based machine learning method is considered to detection and correction of FDI attack. The proposed approach is tested on the IEEE 24-bus system. The simulation results initially indicate the improvement of the flexibility of the power system in proposed structure. Further, injecting false data into all available EVPLs causes to increase the system operation cost. Besides, false data leads to distorted charging and discharging scheduling of EVPLs; likewise, scheduling and commitment of power generation units also changes. Subsequently, the application of the XGBoost algorithm effectively mitigates the impact of FDI attacks, achieving a maximum accuracy of 85.41%.

Application of time-temperature superposition principle for cracking characterization of asphalt mixtures using semi-circular bend test

In recent decades, numerous laboratory tests have been developed to characterize the cracking performance of asphalt mixtures. Among these, the semi-circular bend (SCB)-based Illinois flexibility index test (I-FIT) (AASHTO T 393) has emerged as a favored method due to its straightforward specimen preparation and better sensitivity to mixture variables. However, the cracking susceptibility of asphalt mixtures is significantly influenced by temperature and loading rate, leading to a discrepancy in performance between standard test conditions and real-world scenarios. To address this challenge, this study explores the applicability of the time-temperature superposition principle (TTSP) for the SCB test. The study evaluates four mixtures incorporating reclaimed asphalt pavement (RAP) and/or reclaimed asphalt shingles (RAS) across various loading rates and temperature combinations. Findings suggest that TTSP can be applied to the SCB test without significantly impacting cracking performance indices such as flexibility index and post-peak slope. Furthermore, the study also demonstrates that TTSP can be applied in the crack propagation phase during the post-peak domain of the mixtures. The findings of the study will allow laboratories to develop more flexible testing plans without compromising the accuracy and reliability of performance parameters by adjusting the loading rate corresponding to the test temperature and vice versa. Consequently, this approach can potentially make a balanced mix design (BMD) practice more implementable.

Research on Inverse Kinematics of Redundant Robotic Arms Based on Flexibility Index

Research on Inverse Kinematics of Redundant Robotic Arms Based on Flexibility Index

Concurrent PV production and consumption load forecasting using CT‐Transformer deep learning to estimate energy system flexibility

AbstractThe integration of renewable energy sources (RESs) into power systems has increased significantly due to technical, economic, and environmental factors, necessitating greater flexibility to manage variable consumption loads and renewable energy generation. Accurate forecasting of solar energy production and consumption load is critical for enhancing power system flexibility. This study introduces a novel deep learning model, a spatial‐temporal hybrid convolutional‐transformer (CT‐Transformer) network with unique features and extended memory capacity. Additionally, a flexibility index (FI) is introduced to evaluate power system flexibility (PSF) based on the forecasting results. The CT‐Transformer forecasts PSF for the next 24 and 168 hours, using the FI to evaluate PSF based on forecasting results. The input data includes meteorological, solar energy production, load demand, and pricing data from France, comprising hourly data from 2015 and 2016 (about 17,520 entries). Data preprocessing involves correcting incomplete and irrelevant segments. The CT‐Transformer's performance is compared to other deep learning techniques, showing superior results with the lowest prediction error (2.5%) and a maximum error of 10.1% (MAE). It also achieved a prediction error of 0.08% for system flexibility, compared to the highest error of 0.96%. This research highlights the CT‐Transformer's potential for accurate RES and load forecasting and PSF evaluation.

Predictive associations of executive functions and oppositional defiant problems and obsessive-compulsive problems in preschoolers

ABSTRACT Oppositional defiant problems (ODP) and obsessive-compulsive problems (OCP) may co-occur in children, though the way they interact is not known. The aim of the study was to examine longitudinal associations between executive functions at age 3 and ODP, ODP dimensions, and OCP at age 6. The sample consisted of 622 preschoolers (50% were boys) from the general population. Executive functions were assessed by teachers using the Behavior Rating Inventory of Executive Functioning – Preschool version questionnaire when children were 3 years old, and ODP and OCP were informed by parents and teachers at the age of 6 years. Multiple linear regression analyses indicated that higher Inhibit and Emotional Control and lower Shift deficits were associated with higher ODP reported by teachers, while higher Shift but lower Inhibit deficits were related to higher OCP. Moreover, ODP and OCP shared difficulties on the Flexibility Index, which means that the capacity to modulate emotions and behavior according to contextual and environmental demands is compromised in both disorders. The findings inform etiology and prevention, pointing out not only the executive function specificities related to each problem, but also common cognitive challenges related to Flexibility. Young children could benefit from training and programs designed to improve executive function processes at an early age to prevent later behavioral difficulties.

New Electric Power System Stability Evaluation Based on Game Theory Combination Weighting and Improved Cloud Model

The development of new electric power system is a requirement for China to realize its “carbon peaking and carbon neutrality goals”, so it is of great importance that we assess the stability of a new electric power system under certain conditions. Firstly, according to the factors affecting the stability of the new power system, the characteristics of the new electric power system are analyzed in depth, so as to establish a stability evaluation index system including four first-level indices of safety, adequacy, flexibility, and adaptability. Secondly, a stability evaluation model is proposed. Based on the game theory, the entropy weight method, criteria importance though intercrieria correlation (CRITIC) method, and coefficient of variation method are combined and assigned, and the cloud model is improved through the combination of weights, which is used for evaluating the stability of the new electric power system. Finally, the applicability of the proposed evaluation model is verified by an arithmetic example analysis, which can identify the vulnerability of the new electric power system and provide suggestions for improving its stability. The model can provide a theoretical basis for promoting energy transition and sustainable development.

No Evidence for Cross-Sectional or Longitudinal Associations between Cognitive Flexibility Performances and Nutritional Status in a Cohort of Inpatients with Anorexia Nervosa.

According to the Cognitive-Interpersonal model of anorexia nervosa (AN), the combined influence of cognitive and socio-emotional difficulties would constitute vulnerability and maintaining factors. Poor cognitive flexibility is one of the endophenotypic candidates (i.e., a trait marker) of the disorder, but few studies have examined its association with illness symptom variations, notably weight status. The study aimed to evaluate the relationships between cognitive flexibility performances and nutritional status indices (BMI; body composition) at different times of the disorder. Cross-sectional and longitudinal associations between cognitive flexibility (TAP 2.1) and nutritional status indices, along with anxious and depressive (HAD) and eating disorder (EDE-Q) symptomatology were investigated using univariate and multivariate analyses in a cohort of AN inpatients evaluated at hospital admission (N = 167) and discharge (N = 94). We found no or negligible associations between nutritional status and HAD or EDE-Q scores or cognitive flexibility performances, either cross-sectionally or longitudinally. Cognitive performances did not significantly differ between the AN subtypes. In agreement with the Cognitive-Interpersonal model of AN, cognitive flexibility is independent of nutritional status, as well as the AN subtype. It is also independent of the levels of anxious, depressive, or ED symptomatology. A new therapeutic approach targeting cognitive flexibility and intolerance to change could benefit severely emaciated people with AN, regardless of disease subtype and level of dysphoria.

The Effects of Crossfit Training Program on Promoting Physical Fitness Towards a Training Program for Guangdong University Basketball League Players

In this paper, 20 basketball players from each of the three universities who participated in the Guangdong University Basketball League, total 60 persons, were used as experimental subjects. Each university was divided into an experimental group of 10 players and a control group of 10 players for a 12-week comparison experiment. The experimental group was trained using CrossFit program and the control group was trained using traditional physical training methods. The six indexes of body shape, strength, speed, endurance, flexibility and agility were taken as the physical fitness evaluation indexes, and the corresponding test items were body fat percentage, standing long jump, bench press, squat, deadliftl, 3/4 full-court sprint run, 15×17 folding run, 3000 meters run, seated body flexion, and T-word agility test, a total of 10 test items. The data collected before and after the 12 weeks of training were statistically and analytically analysed through the use of EXCEL and SPSS26.0 software. To explore the effects of CrossFit training on athletes' physical fitness relative to traditional physical training. The purpose of the study is to combine CrossFit training with the characteristics of basketball, arrange and design a targeted training program, and help athletes of the Guangdong University Basketball League to improve their physical fitness and performance on the basketball court through scientific training means and methods. Conclusion: Before the CrossFit training program, there is no significant difference in the physical fitness index scores of body shape, strength, speed, endurance, flexibility and sensitivity between the control group and the experimental group, There is no significant difference between the physical status of the control group and the experimental group before the CrossFit training program; After the CrossFit training program, there are significant differences between the control group and the experimental group in terms of body shape, strength, speed, endurance. There were no significant differences in flexibility and sensitivity, but the experimental group improved more than the control group. There is a significant difference between the physical status of the control group and the experimental group after the CrossFit training program; There is no significant difference in the physical status of the control group before and after the experiment. There is a significant difference in the physical status of the experimental group before and after CrossFit training. CrossFit training program is more suitable for improving the physical fitness of college basketball players in Guangdong Province.

Metastructure Engineering with Ruddlesden-Popper 2D Perovskites: Stability, Flexibility, and Quality Factor Trade-Offs.

In this study, we investigate the opto-electro-mechanical properties, thermodynamic stability, and moisture stability of the Ruddlesden-Popper (RP) two-dimensional perovskites of L2PbI4 (L = PEA, FPEA, BA, and BZA) using density functional theory. The goal is to explore their potential application in metastructures. The results show that the stability of FPEA2PbI4 is better than that of PEA2PbI4, BA2PbI4, and BZA2PbI4 due to the replacement of a hydrogen atom with a fluorine atom. On the other hand, BA2PbI4 is more flexible than other materials because it lacks an aromatic ring in its spacer cation, but it is less stable. We introduce a new kind of metastructure composed of an RP perovskite film and conduct an extensive investigation of the quasi-bound states in the continuum (q-BIC) characteristics by near-field analysis and multipole decomposition calculations. The q-BIC resonances in BZA2PBI4 have a greater quality factor due to its larger refractive index in comparison to other materials. Therefore, based on these results, the perovskite materials can be selected for the metastructures from different aspects of stability, flexibility, and refractive index.

Investigating the Field Performance of High- Recycled Asphalt Pavement Mixtures with Bio-oil Recycling Agent

The use of recycling agents (RAs), along with recycled asphalt pavement (RAP) modifiers, has been increasing over recent years. However, the field performance of asphalt mixtures containing high-RAP materials modified with RAs has raised some concerns with the long-term performance of RAs. This study evaluated the laboratory and field performance of high-RAP mixtures with and without bio-oil RA. Five sets of plant-produced specimens were collected: 1) plant-produced laboratory-compacted; 2) field-compacted, cored after paving; 3) field-compacted, cored after one year; 4) field-compacted, cored after two years; and 5) field-compacted, cored after three years. The Hamburg wheel tracking test was used to evaluate the specimens’ resistance to rutting and moisture damage, while the semi-circular bending test was performed to examine the cracking resistance of specimens. The laboratory test results showed that using the bio-oil RA increased cracking resistance and decreased rutting and moisture damage resistance of the RAP-blended mixtures. However, after one and two years of exposure to environmental conditions and traffic loads, the specimens modified by RA showed better moisture damage and rutting resistance. The cracking resistance of laboratory and field-aged specimens, estimated by flexibility index, implied that the bio-oil RA used in this study could not provide long-term improvement for the RAP-blended mixtures. Field observations suggest that using bio-oil RA may have resulted in inferior pavement performance compared with the control section. However, drawing conclusions based on just two years of data might yield inconclusive results. Longer field performance monitoring is, therefore, warranted for a more comprehensive analysis.

Multi-objective placement and sizing of energy hubs in energy networks considering generation and consumption uncertainties

This paper presents the placement and sizing of energy hubs (EHs) in electricity, gas, and heating networks. EH is a coordinator framework for various power sources, storage devices, and responsive loads. For simultaneous modeling of economic, operation, reliability, and flexibility indices, the proposed scheme is expressed as a three-objective optimization in the form of Pareto optimization based on the sum of weighted functions. The objective functions of this problem respectively minimize the planning cost of EHs (equal to the total cost of construction of hubs and their expected operating cost), the expected energy loss of the mentioned networks, and the expected energy not-supplied (EENS) of these networks in the case of an N − 1 event. The problem is constrained by power flow equations and operation and reliability constraints of these network together with the EH planning and operation model, and flexibility constraints of the EHs. Then, to achieve unique optimal solution in the shortest possible time, a linear approximation model is extracted for the proposed scheme. Moreover, scenario-based stochastic programming (SBSP) is employed to model uncertainties of load, energy cost, renewable power, and accessibility of the mentioned network equipment. Finally, the obtained numerical results indicate the capability of the proposed scheme in enhancing the economic and flexibility situation of EHs and improving the reliability and operation status of energy networks along with achieving optimal planning and operation for EHs.

Ефективність впровадження програми корекційно-профілактичних заходів для офісних працівників з різним станом біомеханіки опорно-рухового апарату

Topicality. Today's challenges require further improvement of technologies for correcting the motor activity of office workers through the use of a wide range of health fitness tools, which are gaining more and more popularity at the current stage. Goal. To determine the effectiveness of implementing a program of corrective and preventive measures for men aged 36–45 who work in offices at a computer. Research Methods: comparative analysis of the angular characteristics of the biogeometric profile of men's posture and indicators of their physical fitness before and after the study. The Results of the conducted research proved the effectiveness of corrective and preventive classes in terms of the positive impact on indicators of body goniometry and physical fitness of men in the second period of maturity with a round back. Thus, in men aged 36–45, the head tilt angle (a1) increased statistically significantly (T=0; Z=3,516; p=0,0004) by 10,5 %, a statistically significant (T=0; Z=3,516; p=0,0004) increase in the visual angle (a2) by 1,60 % was also recorded, and the angle of inclination of the trunk (a3) decreased statistically significantly (T=1,5; Z=3,439; p=0,0006) by 20,0 %. Recorded: statistically significant (T=0; Z=3,516; p=0,0004) increase in upper limb strength by 40 %, statistically significant (T=0; Z=3,296; p=0,00104) increase in speed-power index abilities by 66,67 %, a statistically significant (T=0; Z=3,516; p=0,0004) increase in the flexibility index by 62,5 %, and the shoulder girdle strength index is statistically significant (T=0; Z=3,516; p =0,0004) increased by only 7,55 %. Conclusion. According to the results of the comparative analysis, it was found that in both subgroups of men, angle α1 and angle α2 increased statistically significantly (p<0,05), and angle α3 decreased statistically significantly (p<0,05), while in men 36–40 years, the angle α1 and angle α2 increased more rapidly. The comparative analysis of physical fitness indicators before and after the study made it possible to state a statistically significant (p<0,05) improvement in both men 36–40 and men 41–45 years old. Thus, the conducted research confirmed the effectiveness of our proposed program.