Aspects Of Stability Research Articles

Analyzing the chaotic and stability behavior of a duffing oscillator excited by a sinusoidal external force

This paper delves into the dynamical, chaotic, and stability aspects of the Duffing oscillator (DO) under sinusoidal external excitation, underscoring its relevance in various scientific and engineering applications. The DO, with its complex behavior, poses a significant challenge to our understanding. A unique perturbation technique, the multiple-scales (MS), is harnessed to tackle this challenge and enrich our knowledge. The analysis entails determining third-order expansions, exploring resonant cases, and factoring in the influence of viscous damping. The accuracy of the analytical solution is cross-validated with numerical results using the Runge–Kutta fourth-order (RK4). The paper also employs effective methods to assess the obtained results qualitatively. As a result, Visual figures, such as bifurcation diagrams and Lyapunov exponents’ spectra (LES), have been presented to illustrate diverse system motions and demonstrate Poincaré diagrams. Moreover, stability analysis has been investigated via resonance curves showing the stable and unstable regions. These aids facilitate our comprehension of the system’s complex behavior and its variations under different conditions. The results are elucidated through displayed curves, offering insights into the dynamics of the DO under sinusoidal excitation and damping effects. The influence of excitation and the quadratic parameter on bifurcation diagrams, LES, and Poincaré maps helps us understand the intricate behavior of nonlinear oscillatory systems, such as DO. The presented oscillator is a compelling example of elucidating the nonlinear behavior observed in numerous engineering and physics phenomena.

Food insecurity, associated climate factors and intervention mechanisms: a theoretical and empirical analysis of Ethiopia’s case

Purpose In our world, nearly nine million people die every year from hunger, losing one person to hunger every few seconds. Ethiopia is among the leading countries in the total number of people facing hunger. Several actions have been taken to achieve food security globally and at the household level. However, the problem of food insecurity is still high in many parts of the world. Why are we failing to achieve food security? And where should we start? This study aims to answer these main questions. Design/methodology/approach Relevant quantitative and qualitative data were duly used to describe food insecurity and associated climate factors globally and nationally. For this, PRISMA review methodology was used to help the systematic review. More than 90 relevant empirical and theoretical literature in the field were reviewed in an integrated way with practical evidence from Ethiopia. Governmental technical reports, NGOs reviews and other relevant empirical data referring to Ethiopia are thematically analyzed. Findings The subjectivity, dynamism and complexity of the concept of food security are found to be some of the issues challenging the practice of achieving food security. The unresolved issues in the combination and interaction of the four pillars of food security (food availability, access to food, food utilization and stability) are affecting its measurement. In this study, it is emphasized that food insecurity in rural and urban areas should be treated differently, as food insecurity in rural areas is directly related to food production which depends on rainfall patterns. In rural Ethiopia, rainfall variability was among the main causes of food insecurity. More importantly, it is indicated that rainfall variability does not affect all pillars of food security equally; its effect is more pronounced on food availability and stability aspects. Deconstructing the concept of food security to make it more pragmatic, and understanding the factors behind the rainfall variability should be the starting tasks in achieving food security. Further, even though food aid is preferred to react to transitory food insecurity, focusing on long-lasting preventive measures that address the root causes of the recurring food insecurity in rural areas of Ethiopia would be an effective way of addressing the problem. Practical implications Policy makers and other governmental and humanitarian agencies working on food security can make an evidence-based decision, shape policies and programs if they have clear information about the features of food insecurity, the nature of rainfall variability and critiques of the reacting mechanisms to food insecurity. Shortages of food in some place and food price crises in the other places have been both referring to food insecurity. This makes the understanding of food security situations more difficult to explain and communicate. Originality/value This study primarily clarifies the conceptual complexity surrounding food security as it currently exists. Further, it provides a comprehensive and quantitative description of the state of global to national food security, along with the associated variability of rainfall patterns that are related to it. It also provides a brief overview of the intervention mechanisms for addressing food security, with a specific focus on Ethiopia. This study has set a clear demarcation to assess food security in rural and urban areas.

Pregnancy-Induced Hypertensive Disorders predictors among pregnant and delivery mothers receiving care in public health institutions in Sidama, Ethiopia: a multicenter case control study

BackgroundPregnancy-Induced Hypertensive Disorders (PIHD) include conditions like Pre-Eclampsia, Eclampsia, and Gestational Hypertension, impacting 5–10% of pregnancies globally. These disorders are responsible for 16% of maternal deaths in Sub-Saharan Africa and account for 16.9% of maternal mortality in Ethiopia, representing 10% of the country's total maternal deaths.ObjectiveTo identify predictors of PIHD among pregnant and delivery women in public hospitals and primary health care units (health centers) in Sidama, Ethiopia.MethodsA multi-center unmatched case–control study was conducted on women in antenatal care and obstetrics/gynecology departments at 12 randomly selected public health institutions, including one specialized teaching hospital, two general hospitals, three primary hospitals, and six health centers. The study involved 920 women (230 cases and 690 controls) selected from December 2023 to February 2024. Cases included pregnant or delivery women at 20 + weeks gestation with PIHD such as pre-eclampsia, eclampsia, gestational hypertension, and chronic hypertension with superimposed preeclampsia. Controls were normotensive pregnant women or delivering mothers without PIHD after 20 weeks gestation. Data was manually verified, entered, and validated using Epidata software, followed by analysis with SPSS 22. Univariate analysis assessed predictors of PIHD, while binary logistic regression evaluated the relationships between factors. Model fitness was checked using collinearity assessments and the Hosmer–Lemeshow test, with variables having a P value < 0.05 deemed independent predictors.ResultsOut of 920 planned participants, 686 were included, resulting in a response rate of 94.35%. Factors associated with PIHD in women included age at first conception (AOR = 1.26), mid (AOR = 6.05) and high (AOR = 5.01) wealth index levels, multigravidity (AOR = 4.34), pregnancy age ≥ 42 weeks (AOR = 3.65), maternal mid-upper arm circumference (MUAC) (AOR = 1.29), hemoglobin levels of 6.5–10.9 g/dL (AOR = 5.59), pre-pregnancy Body Mass Index (BMI) ≥ 25 kg/M2 (AOR = 0.81), preexisting hypertension (AOR = 8.97), family history of diabetes mellitus (AOR = 20.02), former alcohol consumption (AOR = 0.27), and total physical activity during pregnancy (AOR = 0.54).ConclusionsThe study identifies key predictors of PIHD in women, including age at conception, wealth index, multigravidity, gestational age, and pre-pregnancy BMI. It underscores the link between socioeconomic status and maternal health, highlighting that financial resources alone don’t ensure better outcomes without educational access. The research advocates for a health intervention strategy focusing on socioeconomic factors and public health initiatives to reduce maternal health disparities while exploring the role of partner stability and psychosocial aspects.

A systems theory-based safety assessment of pre-treatment patient-specific quality assurance for intensity-modulated treatments in a single-vendor environment

Background and purposeWhile patient-specific quality assurance (PSQA) has been integral to intensity-modulated treatments, its value is debated. A systems approach to safety is essential for understanding complex systems like radiation oncology but is often overlooked in PSQA research. This study aims to elucidate PSQA’s fundamental value and identify opportunities for enhancing safety in intensity-modulated treatments. Materials and MethodsFirst, causal scenarios that could lead to patient harm were identified using a prospective safety assessment technique developed for complex systems. Second, PSQA’s ability to mitigate these scenarios was evaluated using standard stability and control principles. The analysis also included safeguards related to PSQA, such as daily linac QA, equipment commissioning, and equipment design. ResultsTen causal scenarios were identified, highlighting well-known issues like flawed algorithms, data corruption, and hardware errors. Mitigation is achieved through advanced dose calculation and optimization algorithms, software and data integration, and preconfigured beam data, which improve decision-making and system state determination. Modern linac control systems enhance all aspects of system stability and control. Commissioning, daily linac QA, and PSQA are effective in enhancing the determination of system states only when feedback is non-overlapping and unambiguous. ConclusionGiven equipment improvement and related safeguards, the feedback generated from PSQA has diminished in value. To better complement other safeguards, PSQA should evolve to provide automated, unambiguous detection of any potential catastrophic treatment deviations prior to treatment. This evolution would allow physicists to focus on more critical aspects of patient care in radiation oncology.

Finite Element Formulations for Maxwell’s Eigenvalue Problem Using Continuous Lagrangian Interpolations

Abstract We consider nodal-based Lagrangian interpolations for the finite element approximation of the Maxwell eigenvalue problem. The first approach introduced is a standard Galerkin method on Powell–Sabin meshes, which has recently been shown to yield convergent approximations in two dimensions, whereas the other two are stabilized formulations that can be motivated by a variational multiscale approach. For the latter, a mixed formulation equivalent to the original problem is used, in which the operator has a saddle point structure. The Lagrange multiplier introduced to enforce the divergence constraint vanishes in an appropriate functional setting. The first stabilized method consists of an augmented formulation including a mesh dependent term that can be regarded as the Laplacian of the divergence constraint multiplier. The second formulation is based on orthogonal projections, which can be recast as a residual based stabilization technique. We rely on the classical spectral theory to analyze the approximating methods for the eigenproblem. The stability and convergence aspects are inherited from the associated source problems together with an assumption which is discussed numerically. We investigate the performance of the proposed formulations and provide some convergence results validating the theoretical ones for several benchmark tests, including ones with smooth and singular solutions.

Stability of cloud detection methods for Land Surface Temperature (LST) Climate Data Records (CDRs)

The stability of a climate data record (CDR) is essential for evaluating long-term trends in surface temperature using remote sensing products. In the case of a satellite-derived CDR of land surface temperature (LST), this includes the stability of processing steps prior to the estimation of the target climate variable. Instability in the masking of cloud-affected observations can result in non-geophysical trends in a LST CDR. This paper provides an assessment of cloud detection performance stability over a 25-year LST CDR generated using data from the second Along-Track Scanning Radiometer (ATSR-2), the Advanced Along-Track Scanning Radiometer (AATSR), the Moderate Resolution Imaging Spectroradiometer (MODIS) and the Sea and Land Surface Temperature Radiometer (SLSTR). We evaluate three cloud detection methodologies, one fully Bayesian, one naïve probabilistic and the operational threshold-based cloud mask provided with each sensor, at four in-situ ceilometer sites. Of the 12 algorithm-site combinations assessed, only two (17 %) were stable across the full timeseries with respect to both cloud contamination and missed clear-sky observations. Five (42 %) were stable with respect to missed clear-sky observations only. The associated impacts on LST trends in the CDR could be as large as (+/−)0.73 K per decade (0.43 K per decade above the target stability), which means that attention needs to be paid to this aspect of stability in order to understand uncertainty in long-term observed trends. Given that cloud detection stability has not to our knowledge been previously assessed for any target climate variable, this conclusion may apply more broadly to other satellite-derived CDRs.

A review of the harvesting methods for offshore renewable energy – advances and challenges

The present work offers general information about present-day and developments in offshore renewable energy, specially of wind, wave and the solar energy harnessing structures. In the introduction, the authors raise awareness of the despite more untapped potentials that exist in the oceans and the offshore Wind Energy Market that is experiencing a steep rise in the recent past due to technological advancement and the great policies that support this energy source. This mainly focuses on the very huge additionality of offshore wind power and the improvements in floating solar PV systems. Section three outlines an assortment of studies that were done by different writers on the strengths and weaknesses of offshore renewable energy technologies through a meta-analysis of the literature. The method of data extraction revolved around several factors, namely technological admissibility, resource identification, location and environmental and economic factors. The sources used comprised of scholarly articles published within the peer reviewed journals in the period of 2013 to 2024, to ensure that the study offered a comprehensive analysis on the technological advancements. The results and discussion section gives an analysis of the results achieved and demonstrates the developments in Offshore Wind Energy, Wave Energy Conversion, and Floating Solar PV Systems. Thus, offshore wind energy is described as the rapidly evolving segment and particular focus is made on the floating wind farms and their advancements in the aspects of power density and structural stability. Wave energy converters are discussed regarding their applicability to complement hybrid electricity production despite limited data on the devices’ performance. Another key feature is that the FFPV systems are reported to be more efficient and cheaper than the land mounted systems. Thus, the article emphasizes the need to produce the further literature on offshore renewable energy, political support, and cooperation between different sectors. It concludes that an offshore renewable energy has the potential for the future development due to advancement in the technology as well as due to environmental factors.

A Review of Research on the Stability of Fine-Grained Sediments in Debris Flows

Fine-grained sediments in debris flows refer to Quaternary sediments with grain sizes smaller than 2 mm. Their stability is closely related to the initial water threshold that triggers the debris flows and thus controls the density, scale, and damage of the debris flows. Based on this, they play a key “probe” role in early warnings of debris flows. Studies on fine-grained sediment stability are related to the accuracy and efficiency of early warnings of debris flows and thus play an important role in ensuring the safety of people and property. There have been some studies on fine-grained sediment stability in debris flows, but no one has carried out a systematic analysis and summary of this field. Therefore, in response to the urgent need for high-precision early warnings of debris flows, firstly, we review the current research on the aspects of fine-grained sediment stability, initiation, triggering, physical properties, hyperspectral remote sensing, and early warning systems; secondly, we summarize the main problems related to high-precision early warnings of debris flow hazards; and finally, we outline the future directions of research on fine-grained sediment stability in debris flows.

The impact of digital transformation on enterprises' export stability: Evidence from listed companies in China

Enterprise export stability is crucial to the stable growth of enterprise exports. The digital transformation of enterprises has become an important driver for promoting high-quality enterprise development with the development of digital technology. This paper examines the impact of digital transformation on enterprises' export stability and explores its intrinsic influence mechanism from the aspects of export product stability and export market stability using the sample data of Chinese listed companies from 2001 to 2016. Heterogeneity analysis indicates that digital transformation has a more significant impact on promoting the export stability of foreign-funded enterprises, private enterprises, labor-intensive enterprises, and enterprises in the central and western regions than state-owned enterprises, technology-intensive, capital-intensive enterprises, and enterprises in the eastern region. The mechanism analysis shows that enterprise technological innovation, enterprise total factor productivity, and enterprise export diversification level are important influence mechanisms of digital transformation on enterprises' export stability. The findings from the moderating effect analysis reveal that the government values the advancement of sports enterprises and can positively modulate the effects of digital transformation on enterprises' export stability.

Effects of various colorants on self-dyed silk properties: Aspects of color, Thermal stability, Morphology, and Degumming

Effects of various colorants on self-dyed silk properties: Aspects of color, Thermal stability, Morphology, and Degumming

Towards more sustainable, nutritious, and affordable plant‐based milk alternatives: A critical review

AbstractThe consumer market has seen a surge in various types of plant‐based milk alternatives (PBMAs), driven by factors such as sustainability, ethics, and the availability of diverse options. However, the global adoption of PBMAs is still hindered by potential nutritional concerns and cost‐ineffectiveness. It is therefore paramount to understand the status and challenges of these alternatives, encompassing production, stabilization strategies, nutrition and health, digestion, and environmental impacts. This review provides a comprehensive examination of these aspects. We begin by scrutinizing the production processes and formulation strategies of PBMAs, followed by an exploration of fundamental stabilization aspects, including homogenization, emulsification, thickening, and quantitative measurements of stabilization. Additionally, we discuss their nutrition facts and potential health benefits, as well as potential differences in the digestion of nutrients from PBMAs. Importantly, their challenges and future directions are discussed individually, highlighting the need for a fundamental understanding and effective food technologies to develop sustainable, nutritious, tasty, and affordable PBMAs. For example, several critical aspects involve maximizing the use of plant materials (e.g., proteins, fibers, and bioactive compounds) and using reliable and unified life cycle analyses to guide the development. This review offers valuable insights for researchers, food technologists, and consumers seeking to navigate and develop the landscape of PBMAs effectively.

Efficient and Stable Red Perovskite Light-Emitting Diodes via Thermodynamic Crystallization Control.

Efficient and stable red perovskite light-emitting diodes (PeLEDs) demonstrate promising potential in high-definition displays and biomedical applications. Although significant progress has been made in device performance, meeting commercial demands remains a challenge in the aspects of long-term stability and high external quantum efficiency (EQE). Here, an in situ crystallization regulation strategy is developed for optimizing red perovskite films through ingenious vapor design. Mixed vapor containing dimethyl sulfoxide and carbon disulfide (CS2) is incorporated to conventional annealing, which contributes to thermodynamics dominated perovskite crystallization for well-aligned cascade phase arrangement. Additionally, the perovskite surface defect density is minimized by the CS2 molecule adsorption. Consequently, the target perovskite films exhibit smooth exciton energy transfer, reduced defect density, and blocked ion migration pathways. Leveraging these advantages, spectrally stable red PeLEDs are obtained featuring emission at 668, 656, and 648nm, which yield record peak EQEs of 30.08%, 32.14%, and 29.04%, along with prolonged half-lifetimes of 47.7, 60.0, and 43.7h at the initial luminances of 140, 250, and 270cd m-2, respectively. This work provides a universal strategy for optimizing perovskite crystallization and represents a significant stride toward the commercialization of red PeLEDs.

Structural and biochemical characterization of the C-terminal region of the human RTEL1 helicase.

RTEL1 is an essential DNA helicase which plays an important role in various aspects of genome stability, from telomere metabolism to DNA replication, repair and recombination. RTEL1 has been implicated in a number of genetic diseases and cancer development, including glioma, breast, lung and gastrointestinal tumors. RTEL1 is a FeS helicase but, in addition to the helicase core, it comprises a long C-terminal region which includes a number of folded domains connected by intrinsically disordered loops and mediates RTEL1 interaction with factors involved in pivotal cellular pathways. However, information on the architecture and the function of this region is still limited. We expressed and purified a variety of fragments encompassing the folded domains and the unstructured regions. We determined the crystal structure of the second repeat, confirming that it has a fold similar to the harmonin homology domains. SAXS data provide low-resolution information on all the fragments and suggest that the presence of the RING domain affects the overall architecture of the C-terminal region, making the structure significantly more compact. NMR data provide experimental information on the interaction between PCNA and the RTEL1 C-terminal region, revealing a putative low-affinity additional site of interaction. A biochemical analysis shows that the C-terminal region, in addition to a preference for telomeric RNA and DNA G-quadruplexes, has a high affinity for R-loops and D-loops, consistent with the role played by the RTEL1 helicase in homologous recombination, telomere maintenance and preventing replication-transcription conflicts. We further dissected the contribution of each domain in binding different substrates.

Nanosatellite Design Considerations for a Mission to Explore the Propellant Sloshing Problem

Sloshing Platform for In-Orbit Controller Experimentation is an ambitious, student run mission to design and fly a cubesat to study fluid sloshing in spacecraft. The project will examine zero-g propellant sloshing from an experimental standpoint. Despite the small size and limited payload capacity, we intend to use the cubesat platform to mimic larger spacecraft and implement novel detection and computer vision methods in our analysis. Many modern spacecraft rely on propellant-filled tanks to perform attitude control and station-keeping maneuvers. When a large percentage of the spacecraft’s mass is comprised of liquid propellant, sloshing becomes a critical aspect of spacecraft attitude control and stability. The mission will study the tank/fluid dynamics using new methods to gain an enhanced understanding of low-gravity fluid disturbance effects and improve simulations using equivalent mechanical models (EMMs). Active control of the fluid leading to the reduction of propellant slosh settling times will improve the maneuverability and performance of spacecraft. This paper will focus on satellite payload research and design requirements used to inform other aspects of the SPICEsat design. In this paper, mission objectives will be discussed, numerical simulations for the proposed control algorithms are demonstrated, and a satellite experiment design is presented. Finally, we examine computational fluid dynamics models to validate the satellite design and propellant sensing components of the proposed spacecraft.

Cognitive mapping of the economy of trust

The concept of trust has been extensively explored by governments, researchers, and academic communities focusing on public authorities and the financial system, albeit in separate contexts. Trust plays a vital role in both sectors, influencing various aspects of governance, economic stability, and societal well-being. However, the relationship and interdependencies between trust in the government and trust in the financial system remain relatively unexplored. In addressing this gap, this study aims to improve the understanding of the role of trust in the socio-economic system and provide a framework for analysing the complex causal mechanisms between developments in the financial and public sectors using trust concepts. To achieve this, the study adopts the Fuzzy Cognitive Mapping (FCM) method in combination with the fuzzy Delphi method (FDM) as the methodological approach. The results highlight that even a small decline in trust can have severe repercussions on the stability of the financial system, deposit levels, exchange rate stability, and the prevalence of non-performing loans. Additionally, violations of trust in the financial sector also impact the development of the public sector, resulting in decreased trust in the government, fiscal stability, tax revenues, and government bond purchases. The study also demonstrated that when trust in both the financial sector and the government is eroded simultaneously, the complexities and the extent of negative consequences are amplified. These findings emphasize the interconnected nature of trust dynamics in both sectors and underscore the importance of a comprehensive approach to addressing trust-related challenges.

“Akili zetu ziwe moja / Let our minds be one”: Emergent strategy for adapting to seafood insecurity in coastal Kenyan fishing communities

Small-scale fisheries provide food sovereignty and capital for millions globally. However, coastal Kenyan communities who harvest reef fishery resources are often still food insecure, especially due to the detrimental effects of climate change and overfishing in their communities. This study aims to understand the environmental perceptions and priorities of fishing families in Kilifi County, Kenya, and how these relate to both food security and sustainable development policy. We rely on qualitative methods including interviews with household caregivers from 42 fishing families to provide insights not only on fishery sustainability but also on the additional aspects of reproductive labor related to fish food security, including the food securing aspects of availability, accessibility, utilization, and stability. Our findings highlight the complex challenges that environmental change places on families in this situation: lack of fish availability, seasonal food inaccessibility, shifting baselines, and experiences of loss in the food system are markedly a prevalent result. Despite these struggles, we see emergent strategies to address food needs unfold in a variety of resilient and opportunistic ways, including adaptation, trust, and multimodal networks of support. Further policy support must be given to communities to practice food sovereignty in their own contexts, especially as climate changes continue and these strategies become salient adaptive practices elsewhere.

Infection and the Glycome─New Insights into Host Response.

Glycans play critical roles in the host-pathogen interactions leading to infection. However, we still understand very little about the dynamic nature of glycosylation in response to infection and its function in modulating host immunity. Many of the host proteins involved in immune defense are glycoproteins. Furthermore, the innate immune system recognizes glycans. The glycoform of a protein can impact proteolytic stability, receptor interactions, serum half-life, and other aspects. New, cutting-edge chemical biology tools are shedding light on the interplay between infection and the host glycome. In this review, we highlight new work on the importance of dynamic glycosylation of host proteins in the innate and adaptive immune pathways in response to infection. These include recent findings on altered glycoprofiles of mucins, complement components, and antibodies.

Grasshopper platform-assisted design optimization of fujian rural earthen buildings considering low-carbon emissions reduction

This work aims to explore optimization methods for the design of earthen buildings in rural Fujian to achieve low-carbon emissions and improve the structural stability of earthen buildings. First, parametric modeling and optimization algorithms are employed through the Grasshopper platform. An intelligent earthen building design is created by combining the optimization of factors such as the structure of earthen buildings, building materials, and orientation. Then, a comparison is made with the unoptimized, energy-efficient, and carbon emission reduction designs. Finally, the work concludes that the proposed design significantly optimizes the total carbon emissions, energy consumption, structural stability, and economic aspects. The proposed design scheme achieves the highest carbon emission reduction effect, with a reduction rate of 34.64%. The proposed design exhibits lower maximum stress and higher minimum safety factor in terms of structural stability compared to other scenarios, along with smaller structural displacement. It also performs well in terms of initial investment, annual operating costs, and construction period. The significance of this work lies in providing scientific guidance for the design and construction of rural earthen buildings, promoting the organic integration of rural development with low-carbon initiatives. This indicates that the use of intelligent optimization methods for earthen building design is feasible and can yield positive results in practice.

Some Unfamiliar Structural Stability Aspects of Unsymmetric Laminated Composite Plates.

It is widely recognized that certain structures, when subjected to static compression, may exhibit a bifurcation point, leading to the potential occurrence of a secondary equilibrium path. Also, there is a tendency of deflection increment without a bifurcation point to occur for imperfect structures. In this paper, some relatively unknown phenomena are investigated. First, it is demonstrated that in some conditions, the linear buckling mode shape may differ from the result of geometrically nonlinear analysis. Second, a mode jumping phenomenon is described as a transition from a secondary equilibrium path to an obscure one as a tertiary equilibrium path or a second bifurcation point. In this regard, some non-square plates with unsymmetric layer arrangements (in the presence of extension-bending coupling) are subjected to a uniaxial in-plane compression. By considering the geometrically linear and nonlinear problems, the bucking modes and post-buckling behaviors, e.g., the out-of-plane displacement of the plate versus the load, are obtained by ANSYS 2023 R1 software. Through a parametric analysis, the possibility of these phenomena is investigated in detail.

A probabilistic distributed digital twins approach for short-term stability and islanding of smart grid

The simultaneous evaluation of voltage, frequency, and transient stability enhances the reliability of the power systems, due to the transient effect of stability aspects on each other. However, different quantitative and qualitative parameters in the aspect and nonlinear structural analysis of the system make simultaneous and accurate predictions difficult. For this reason, the simultaneous probabilistic prediction of the stability state of three aspects with high certainty can be considered the most accurate method. This study presents a simultaneous prediction method for the stability aspect states by means of the decision theory and the game theory matrix on the basis of distributed digital twins (DDTs). The decision matrix weighs the aspect states in each bus using the distributed structure measurement and prioritizes the weak buses. In addition, the stability of different bus aspects is predicted using the game matrix. Furthermore, the changes in the system stability are predicted with high probability and certainty in the digital twins (DTs) graph, and if required, islanding is performed on the basis of the weak buses' priorities. The effects of the three aspects on each other, and the use of real-time data of the DDTs, have contributed to the high accuracy and speed of the proposed method. Simulations were performed on IEEE 14-bus, 39-bus, and 118-bus systems by means of MATLAB and DIgSILENT. The results show the advantages of the proposed method over other methods.