Nothing Special   »   [go: up one dir, main page]

You seem to have javascript disabled. Please note that many of the page functionalities won't work as expected without javascript enabled.
 
 
Sign in to use this feature.

Years

Between: -

Subjects

remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline

Journals

Article Types

Countries / Regions

Search Results (112)

Search Parameters:
Keywords = stirling engine

Order results
Result details
Results per page
Select all
Export citation of selected articles as:
22 pages, 4687 KiB  
Article
Study on the Thermodynamic–Kinetic Coupling Characteristics of Free-Piston Stirling Air Conditioning
by Yajuan Wang, Kang Zhao and Jun’an Zhang
Energies 2024, 17(22), 5795; https://doi.org/10.3390/en17225795 - 20 Nov 2024
Viewed by 279
Abstract
Unlike traditional free-piston Stirling heat engines or heat pumps, the free piston Stirling air conditioning (FPSAC) is specifically designed for electric vehicle air conditioning under ambient room temperature conditions. In the FPSAC system, the displacer and the power piston are coupled through gas [...] Read more.
Unlike traditional free-piston Stirling heat engines or heat pumps, the free piston Stirling air conditioning (FPSAC) is specifically designed for electric vehicle air conditioning under ambient room temperature conditions. In the FPSAC system, the displacer and the power piston are coupled through gas forces, emphasizing the importance of investing the thermodynamic–kinetic coupling characteristics. This study analyzed the damping terms within the dynamic equations of the FPSAC model and solved these equations to reveal system dynamics. By linearizing the working chamber’s pressure, the study examined the machine’s dynamic behavior, presenting solutions for amplitude and phase angle. Derived expressions for the displacement and acceleration of both the power piston and the displacer further support this analysis. The research evaluates the influence of driving force on amplitude and phase angle, alongside the impact of damping coefficients, thereby isolating thermodynamic–dynamic coupling characteristics. Control equations integrating dynamics and thermodynamics were developed, and a comprehensive system model was constructed using MATLAB(2020a)/Simulink to simulate acceleration and displacement variation in the pistons. Key findings include: (1) a positive correlation between driving force and displacer, where increased force leads to higher amplitudes; (2) a frequency of 65 Hz reveals a singularity occurs in displacer amplitude, resulting in system instability; (3) phase angle between pistons reduces to below 10° when the driving force exceeds 150 N; and (4) the power piston’s amplitude decreases with an increase in damping C1, while changes in damping C2 primarily affect the displacer’s singularity position around 65 Hz, with higher C2 values shifting the singularity to lower frequencies. Full article
(This article belongs to the Section J: Thermal Management)
Show Figures

Figure 1

Figure 1
<p>Structure diagram of FPSAC.</p>
Full article ">Figure 2
<p>Simplified dynamics model. (<b>a</b>) Vibration system physical model. (<b>b</b>) Mechanical model of FPSAC.</p>
Full article ">Figure 3
<p>Force diagram for the power piston and displacer. (<b>a</b>) Power piston. (<b>b</b>) Displacer.</p>
Full article ">Figure 4
<p>The relationship of amplitude and frequency between the power piston and displacer. (<b>a</b>) F<sub>E</sub> = 50. (<b>b</b>) Different F<sub>E</sub>.</p>
Full article ">Figure 5
<p>The relationship of the phase angle and frequency between the power piston and displacer. (<b>a</b>) F<sub>E</sub> = 50. (<b>b</b>) Different F<sub>E</sub>.</p>
Full article ">Figure 6
<p>Changes in the amplitude of the power piston and the displacer (<span class="html-italic">C</span><sub>2</sub> = 1.5). (<b>a</b>) When C<sub>1</sub> = 6~16, changes in the amplitude of the power piston (C<sub>2</sub> = 1.5). (<b>b</b>) When C<sub>1</sub> = 6~16, changes in the amplitude of the displacer (C<sub>2</sub> = 1.5). (<b>c</b>) When C<sub>1</sub> = 6~16, changes in the amplitude of the power piston and the displacer.</p>
Full article ">Figure 7
<p>When <span class="html-italic">C</span><sub>1</sub> remains and <span class="html-italic">C</span><sub>2</sub> = 0~3, changes in the amplitude of the power piston and the displacer (<span class="html-italic">C</span><sub>1</sub> = 10). (<b>a</b>) Overall view. (<b>b</b>) A<sub>2</sub>.</p>
Full article ">Figure 8
<p>Flowchart.</p>
Full article ">Figure 9
<p>Matlab/Simulink model of FPSAC.</p>
Full article ">Figure 10
<p>The working chamber pressure diagram. (<b>a</b>) The pressure chart of the working chamber from startup to stabilization. (<b>b</b>) The working chamber pressure diagram of stabilization.</p>
Full article ">Figure 11
<p>Acceleration diagram of power piston and displacer. (<b>a</b>) Acceleration diagram from startup to stable operation. (<b>b</b>) Acceleration diagram of steady state.</p>
Full article ">Figure 12
<p>Displacement diagram of power piston and displacer. (<b>a</b>) Displacement diagram from startup to stable operation. (<b>b</b>) Displacement diagram of steady state.</p>
Full article ">Figure 13
<p>Comparison between the displacer and the power piston. (<b>a</b>) Acceleration diagram (φ = π/2 vs. φ = 0) (<b>b</b>) Displacement diagram (φ = π/2 vs. φ = 0).</p>
Full article ">
26 pages, 4077 KiB  
Review
CFD Simulation of Stirling Engines: A Review
by Santiago Laín, Valentina Villamil and Juan R. Vidal
Processes 2024, 12(11), 2360; https://doi.org/10.3390/pr12112360 - 28 Oct 2024
Viewed by 789
Abstract
Stirling engines (SEs) have long attracted the attention of renewable energy researchers due to their external combustion design and flexibility in operating with various heat sources. The mathematical analysis of these devices is conducted by using a broad range of models ranging from [...] Read more.
Stirling engines (SEs) have long attracted the attention of renewable energy researchers due to their external combustion design and flexibility in operating with various heat sources. The mathematical analysis of these devices is conducted by using a broad range of models ranging from basic zero-order to highly detailed fourth-order models, which are implemented through Computational Fluid Dynamics (CFD) simulations. The unique features of this last approach, combined with the increase in computing power, have promoted the use of CFD as a tool for analyzing SEs in recent years, significantly reducing the costs associated with prototype construction. However, Stirling CFD simulations are sophisticated due to the variety of physical phenomena involved, such as volume change, conjugated heat transfer, turbulent compressible fluid dynamics, and flow through porous media in the regenerator. Furthermore, there is currently no comprehensive review of CFD simulations of SEs in the literature; therefore, this contribution aims to fill that gap. Emphasis has been placed on identifying the type of engine, the physical phenomena modeled, the simplifying assumptions, and specific numerical aspects, such as mesh type, spatial and temporal discretization, and the order of the numerical schemes used. As a result, it has been found that in many cases, CFD numerical reports lack sufficient detail to ensure the reproducibility of the simulations. This work proposes guidelines for reporting CFD studies on Stirling engines to address this issue. Additionally, the need for a sufficiently detailed experimental benchmark database to validate future CFD studies is stressed. Finally, the use of Large Eddy Simulations on coupled key engine components—such as compression and expansion spaces, pistons, displacer, and regenerator—is suggested to provide further insights into the specific flow and heat transfer characteristics in Stirling engines. Full article
(This article belongs to the Section Energy Systems)
Show Figures

Figure 1

Figure 1
<p>Schematics of Pv and Ts diagrams (ideal versus real) of the closed cycle of a regenerative Stirling engine.</p>
Full article ">Figure 2
<p>Schematics of α, β, and γ Stirling engines after [<a href="#B10-processes-12-02360" class="html-bibr">10</a>] (C: cooler; R: regenerator; H: heater; DP: displacer; PP: power piston). Reproduced with permission.</p>
Full article ">Figure 3
<p>Geometrical CAD model of the ST05G γ Stirling engine employed in [<a href="#B34-processes-12-02360" class="html-bibr">34</a>] identifying its main parts. Reproduced with permission.</p>
Full article ">Figure 4
<p>(<b>a</b>) Computational domain of the SE considered in [<a href="#B34-processes-12-02360" class="html-bibr">34</a>]. (<b>b</b>) Instantaneous temperature field at the middle plane and walls at three different instants of the expansion–compression cycle (<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>T</mi> </mrow> <mrow> <mi>c</mi> <mi>y</mi> <mi>c</mi> <mi>l</mi> <mi>e</mi> </mrow> </msub> </mrow> </semantics></math> is the cycle period). Reproduced with permission.</p>
Full article ">Figure 5
<p>Instantaneous fields of turbulent variables at the symmetry plane at the different moments of the expansion cycle [<a href="#B34-processes-12-02360" class="html-bibr">34</a>]: vorticity magnitude <math display="inline"><semantics> <mrow> <mfenced open="|" close="|" separators="|"> <mrow> <mi mathvariant="bold-sans-serif">Ω</mi> </mrow> </mfenced> </mrow> </semantics></math> (top), turbulent kinetic TKE (middle), dissipation rate <math display="inline"><semantics> <mrow> <mi>ϵ</mi> </mrow> </semantics></math> (bottom) (<math display="inline"><semantics> <mrow> <msub> <mrow> <mi>T</mi> </mrow> <mrow> <mi>c</mi> <mi>y</mi> <mi>c</mi> <mi>l</mi> <mi>e</mi> </mrow> </msub> </mrow> </semantics></math> is the cycle period). Reproduced with permission.</p>
Full article ">Figure 6
<p>Geometrical CAD model of the GPU-3 β Stirling engine considered by [<a href="#B76-processes-12-02360" class="html-bibr">76</a>] showing its components. Reproduced with permission.</p>
Full article ">Figure 7
<p>Sensitivity study of the GPU-3 β Stirling engine performance (power vs. rotational speed), regarding the turbulence model employed [<a href="#B76-processes-12-02360" class="html-bibr">76</a>] (EWT stands for Enhanced Wall Treatment). Experimental points from [<a href="#B85-processes-12-02360" class="html-bibr">85</a>]. Reproduced with permission.</p>
Full article ">Figure 8
<p>Grid employed in [<a href="#B95-processes-12-02360" class="html-bibr">95</a>] in the case of a stacked woven-wire matrix (<b>a</b>) and instantaneous vector field through the same regenerator matrix colored by velocity magnitude (<b>b</b>) and by gas temperature (<b>c</b>). Reproduced with permission.</p>
Full article ">Figure 9
<p>Comparison of CFD results from [<a href="#B82-processes-12-02360" class="html-bibr">82</a>] for SE performance, with and without radiation model, against the experimental data from [<a href="#B75-processes-12-02360" class="html-bibr">75</a>]. Reproduced with permission.</p>
Full article ">Figure 10
<p>Illustration of surface mesh and thermal boundary conditions in the β Stirling engine of [<a href="#B78-processes-12-02360" class="html-bibr">78</a>]. Reproduced with permission.</p>
Full article ">
15 pages, 4982 KiB  
Article
Comparative Energy and Economic Analysis of Dish Stirling Engine and National Grid Electricity for Residential Building in Mafraq, Jordan
by Habes Ali Khawaldeh, Bashar Shboul, Mohammad Al-Smairan, Mohammad Al-Soeidat, Dylan Lu and Fares Almomani
Sustainability 2024, 16(14), 5945; https://doi.org/10.3390/su16145945 - 12 Jul 2024
Cited by 2 | Viewed by 848
Abstract
The primary purpose of this research is to determine the most economical approach to installing a solar dish Stirling engine (SDSE) system on a building for residential purposes in Mafraq while taking into account the local weather, usual monthly consumption of energy and [...] Read more.
The primary purpose of this research is to determine the most economical approach to installing a solar dish Stirling engine (SDSE) system on a building for residential purposes in Mafraq while taking into account the local weather, usual monthly consumption of energy and the prices charged by the local powered utility. The house uses an average of 622.25 kWh of energy every month, with the highest consumption in February and the lowest in May. A range of optical efficiencies between 50% and 98% are used to mount the SDSE system. This study evaluated the relationship between the price of electrical energy and the amount of power consumed to identify the times of day when energy consumption is highest. Another approach relevant to consider is solar power, which likewise varies across the whole year. When the available intensity of the sun and power rates are at their peak, an SDSE system is regarded as a feasible solution for fulfilling the energy requirements. This is because SDSE systems can still make electricity even during cloudy days. This work also includes a comprehensive analysis of the solar power that an SDSE receives and the generated electrical power. Full article
(This article belongs to the Section Environmental Sustainability and Applications)
Show Figures

Figure 1

Figure 1
<p>Sunshine hours in Mafraq, Jordan.</p>
Full article ">Figure 2
<p>The average daily highest and average daily lowest, and average of the hottest day and coldest night temperature in Mafraq, Jordan.</p>
Full article ">Figure 3
<p>Average monthly DNI values in Mafraq.</p>
Full article ">Figure 4
<p>Screenshot of the developed model browser in the MATLAB/Simulink-2019 toolbox environment.</p>
Full article ">Figure 5
<p>The monthly duration of sunshine in Mafraq, Jordan, including days and hours.</p>
Full article ">Figure 6
<p>The sun irradiation received by the station’s horizontal and concave surfaces measured monthly and averaged by GHI and DNI.</p>
Full article ">Figure 7
<p>Average monthly electric energy production of an SDSE system at different optical efficiencies.</p>
Full article ">Figure 8
<p>Benefits of the SDSE platform at different optical efficiencies for each month.</p>
Full article ">Figure 9
<p>The monthly electricity cost (JOD) comparison based on the subsidized electricity tariff (JOD), the official electricity tariff (JOD) and the SDSE platform at 98% optical efficiency.</p>
Full article ">
15 pages, 8281 KiB  
Article
Experimental Performance Evaluation of a Thermoacoustic Stirling Engine with a Low-Cost Arduino-Based Acquisition System
by Carmen Iniesta, Jordi Vinolas, Federico Prieto, Jose Luis Olazagoitia and Luis Soliverdi
Appl. Sci. 2024, 14(14), 6049; https://doi.org/10.3390/app14146049 - 11 Jul 2024
Viewed by 816
Abstract
Existing thermoacoustic dynamic measurement instrumentation is typically expensive and relies on proprietary designs, sensors, and acquisition equipment. However, this study presents a low-cost acquisition solution for sampling pressure and calculating instantaneous power measurements from a thermoacoustic engine using cost-effective sensors and control boards [...] Read more.
Existing thermoacoustic dynamic measurement instrumentation is typically expensive and relies on proprietary designs, sensors, and acquisition equipment. However, this study presents a low-cost acquisition solution for sampling pressure and calculating instantaneous power measurements from a thermoacoustic engine using cost-effective sensors and control boards based on the Arduino platform. While the platform was designed for thermoacoustic engines with extra security for safe, high-speed data transfer, it could also suit other applications with similar needs. This study details the implementation of the sampling system and sensor arrangement, employing Python 3.10.2 algorithms based on the two-pressure sensor method to process and present the data. The sampling system is evaluated against a high-performance sound acquisition system. The accuracy of the low-cost system is found to be satisfactory for expected thermoacoustic experimental conditions in terms of pressure resolution and accuracy, with no data loss. These results allow for significantly increased accuracy at low cost in determining the maximum power extracted from any thermoacoustic device. Full article
(This article belongs to the Section Mechanical Engineering)
Show Figures

Figure 1

Figure 1
<p>General schematic of the experimental thermoacoustic Stirling-like cycle engine (TA-SLiCE) in this work. The moving piston is inside the resonator tube of the power extraction branch.</p>
Full article ">Figure 2
<p>A 3D model of the experimental TA-SLiCE used in this work, developed with CATIA V5 software, incorporates several design modifications, including grey acrylonitrile–butadiene–styrene (ABS) components and O-ring grooves. The sleeves (blue) and flags (silver) are manufactured in aluminum.</p>
Full article ">Figure 3
<p>Constructive improvements of the heat sinks of the experimental TA-SLiCE used in this work. The blue piece is an internal aluminum sleeve that is part of the cooling jacket and is present in both the primary and secondary coolers.</p>
Full article ">Figure 4
<p>Feedback branch inertance enhancement of the experimental TA-SLiCE in this work. (<b>a</b>) First version of the inertance and (<b>b</b>) Improved version of the inertance.</p>
Full article ">Figure 5
<p>Variable RC load representation. <math display="inline"><semantics> <mrow> <msub> <mi>P</mi> <mi>C</mi> </msub> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi>P</mi> <mi>E</mi> </msub> </mrow> </semantics></math> are the experimental pressure data acquired from the volume tank and the mechanical resonator, respectively. <math display="inline"><semantics> <mrow> <msub> <mi>U</mi> <mn>1</mn> </msub> </mrow> </semantics></math> is the volumetric flow rate through the resistance and <math display="inline"><semantics> <mrow> <mo> </mo> <msub> <mi>P</mi> <mi>R</mi> </msub> </mrow> </semantics></math> is the pressure across the resistance.</p>
Full article ">Figure 6
<p>RC load representation through the analogy between (<b>a</b>) electrical and (<b>b</b>) thermoacoustic.</p>
Full article ">Figure 7
<p>Power flux generated in the core branch of the TA-SLiCE <math display="inline"><semantics> <mrow> <msub> <mover accent="true"> <mi>E</mi> <mo>˙</mo> </mover> <mrow> <mi>c</mi> <mi>o</mi> <mi>r</mi> <mi>e</mi> </mrow> </msub> </mrow> </semantics></math> and its distribution into two main pathways: the part absorbed by the feedback branch <math display="inline"><semantics> <mrow> <msub> <mover accent="true"> <mi>E</mi> <mo>˙</mo> </mover> <mrow> <mi>f</mi> <mi>e</mi> <mi>e</mi> <mi>d</mi> <mi>b</mi> <mi>a</mi> <mi>c</mi> <mi>k</mi> </mrow> </msub> </mrow> </semantics></math> and the instantaneous work delivered into the power extraction branch <math display="inline"><semantics> <mrow> <msub> <mover accent="true"> <mi>E</mi> <mo>˙</mo> </mover> <mrow> <mi>j</mi> <mi>u</mi> <mi>n</mi> <mi>c</mi> <mi>t</mi> <mi>i</mi> <mi>o</mi> <mi>n</mi> </mrow> </msub> <mo>+</mo> <msub> <mover accent="true"> <mi>E</mi> <mo>˙</mo> </mover> <mrow> <mi>R</mi> <mi>C</mi> </mrow> </msub> </mrow> </semantics></math>. This understanding guides the strategic positioning of sensors to effectively capture the system’s operational dynamics. With this point clarified, the sensor requirements necessary for characterizing the power flow are outlined below.</p>
Full article ">Figure 8
<p>Location of the absolute pressure sensors P1 and P2 used to measure the difference in pressure oscillations in the resonator and in the RC load, respectively. The distinction between P1.1 and P1.2. is made since they are two identical sensors used to monitor very close points in the vicinity of the resonator and each of them is linked to a high- and low-cost acquisition system, respectively.</p>
Full article ">Figure 9
<p>Illustration of the sensitivity curve of the differential pressure sensor (MPX5100AP), as detailed in the sensor’s technical specification sheet [<a href="#B22-applsci-14-06049" class="html-bibr">22</a>].</p>
Full article ">Figure 10
<p>Illustration of the wire connection diagram of the low-cost and Brüel &amp; Kjaer (B&amp;K) systems.</p>
Full article ">Figure 11
<p>Raw pressure vibration signals measured during the data acquisition after the first treatment in R. The absolute pressure sensor P2 is located in the RC load, P1.2. is located in the resonator, and both of them are linked to the low-cost acquisition system.</p>
Full article ">Figure 12
<p>Sinusoidal fitting from original P1.2 and P2 sensor readings, and wave parameter results obtained from the data post-processing.</p>
Full article ">Figure 13
<p>Comparison between low-cost (Arduino) and high-cost (B&amp;K) acquisition systems and wave parameter results obtained from data post-processing.</p>
Full article ">
12 pages, 3452 KiB  
Article
Empirical Modeling of Subcritical Hopf Bifurcation of Thermoacoustic Stirling Engine
by Chuan-Heng Lai and Shu-Han Hsu
Aerospace 2024, 11(5), 347; https://doi.org/10.3390/aerospace11050347 - 26 Apr 2024
Viewed by 1334
Abstract
This study models the subcritical Hopf bifurcation in thermoacoustic Stirling engines using the Stuart–Landau model, highlighting the role of nonlinear dynamics. By inducing self-sustained oscillations and measuring pressure fluctuations across different temperature gradients imposed on the regenerator, we reveal the engine’s transition to [...] Read more.
This study models the subcritical Hopf bifurcation in thermoacoustic Stirling engines using the Stuart–Landau model, highlighting the role of nonlinear dynamics. By inducing self-sustained oscillations and measuring pressure fluctuations across different temperature gradients imposed on the regenerator, we reveal the engine’s transition to a nonlinear domain, characterized by heightened oscillation amplitudes and unique periodic patterns. Interpreted Landau constants and growth rates illuminate the stabilizing effects of nonlinear dynamics, demonstrating the Stuart–Landau model’s applicability in thermoacoustic engine analysis. Our research confirms that this empirically refined model reliably describes oscillation amplitudes and transient phenomena, contributing valuable perspectives for advancing thermoacoustic engine design and operational understanding. Full article
(This article belongs to the Special Issue Predicting the Onset and Control of Thermoacoustics)
Show Figures

Figure 1

Figure 1
<p>Experimental setup of the thermoacoustic Stirling engine.</p>
Full article ">Figure 2
<p>Hysteresis loop constituted from measured saturated amplitudes of pressure oscillations.</p>
Full article ">Figure 3
<p>Comparison between the original pressure signal of measurement and the bandpass-filtered pressure signal.</p>
Full article ">Figure 4
<p>Evolution of normalized pressure oscillations and growth rates in the thermoacoustic Stirling engine system. (<b>a</b>,<b>b</b>) represent conditions within the bistability region at <math display="inline"><semantics> <mrow> <mo>Δ</mo> <mi>T</mi> <mo>=</mo> <mn>339</mn> </mrow> </semantics></math> K and <math display="inline"><semantics> <mrow> <mo>Δ</mo> <mi>T</mi> <mo>=</mo> <mn>341</mn> </mrow> </semantics></math> K, respectively; while (<b>c</b>–<b>e</b>) depict the system above the Hopf bifurcation point at <math display="inline"><semantics> <mrow> <mo>Δ</mo> <mi>T</mi> <mo>=</mo> <mn>343</mn> </mrow> </semantics></math> K, <math display="inline"><semantics> <mrow> <mo>Δ</mo> <mi>T</mi> <mo>=</mo> <mn>345</mn> </mrow> </semantics></math> K, and <math display="inline"><semantics> <mrow> <mo>Δ</mo> <mi>T</mi> <mo>=</mo> <mn>347</mn> </mrow> </semantics></math> K. Each subfigure consists of part (i) showing the instantaneous amplitude growth to peak, and part (ii) displaying the corresponding growth rates versus squared amplitude, with Stuart–Landau model fits indicated.</p>
Full article ">Figure 5
<p>Comparison of instantaneous amplitudes from Stuart–Landau equation solutions and experimental time-series pressure measurements, alongside <math display="inline"><semantics> <mrow> <mo>Δ</mo> <mi>T</mi> </mrow> </semantics></math> evolution over time in a thermoacoustic system. (<b>a</b>,<b>b</b>) detail the bistability region at <math display="inline"><semantics> <mrow> <mo>Δ</mo> <mi>T</mi> <mo>=</mo> <mn>339</mn> </mrow> </semantics></math> K and <math display="inline"><semantics> <mrow> <mo>Δ</mo> <mi>T</mi> <mo>=</mo> <mn>341</mn> </mrow> </semantics></math> K, respectively. (<b>c</b>–<b>e</b>) focus on conditions above the Hopf bifurcation point at <math display="inline"><semantics> <mrow> <mo>Δ</mo> <mi>T</mi> <mo>=</mo> <mn>343</mn> </mrow> </semantics></math> K, <math display="inline"><semantics> <mrow> <mo>Δ</mo> <mi>T</mi> <mo>=</mo> <mn>345</mn> </mrow> </semantics></math> K, and <math display="inline"><semantics> <mrow> <mo>Δ</mo> <mi>T</mi> <mo>=</mo> <mn>347</mn> </mrow> </semantics></math> K. The right y-axis in each panel quantifies the variation of <math display="inline"><semantics> <mrow> <mo>Δ</mo> <mi>T</mi> </mrow> </semantics></math> over time, illustrating the system’s thermal response to induced oscillations.</p>
Full article ">Figure 6
<p>Numerical results showing the finite amplitudes for different initial conditions at <math display="inline"><semantics> <mrow> <mo>Δ</mo> <mi>T</mi> <mo>=</mo> <mn>339</mn> </mrow> </semantics></math> K within the bistable region. Each plot represents the system’s response computed using the ode89 numerical solver with several sets of fixed relative error (RelTol) and absolute tolerance (AbsTol).</p>
Full article ">
12 pages, 1380 KiB  
Article
Ranking of Independent Small-Scale Electricity Generation Systems
by Janis Kramens, Megija Valtere, Guntars Krigers, Vladimirs Kirsanovs and Dagnija Blumberga
Clean Technol. 2024, 6(1), 140-151; https://doi.org/10.3390/cleantechnol6010009 - 2 Feb 2024
Viewed by 2429
Abstract
The EU’s energy targets are to achieve at least 32% renewables in the energy mix by 2030. Part of the solution is strengthening consumer rights by empowering individuals to generate their own electricity. The aim of this study was to identify the most [...] Read more.
The EU’s energy targets are to achieve at least 32% renewables in the energy mix by 2030. Part of the solution is strengthening consumer rights by empowering individuals to generate their own electricity. The aim of this study was to identify the most suitable energy system for electricity generation of up to 50 kW in the EU residential sector. Multi-Criteria Decision Analysis was used to compare four systems: proton exchange membrane fuel cell with photovoltaic panels, photovoltaic panels, biomass-powered Stirling engine, and solar-powered Stirling engine. Based on the results, the most beneficial system for household electricity generation is the biomass-fueled Stirling engine system due to its affordability, reliability, and low environmental impact. Governments and businesses can use these findings to improve information for the residential sector and enable the transition to renewable energy. Full article
Show Figures

Figure 1

Figure 1
<p>Steps of the methodology.</p>
Full article ">Figure 2
<p>Schemes of the systems covered in the present study.</p>
Full article ">Figure 3
<p>Results from technique of order preference similarity to the ideal solution analysis.</p>
Full article ">Figure 4
<p>Results of sensitivity analysis of lifetime criteria.</p>
Full article ">Figure 5
<p>Results of sensitivity analysis of reliability criteria.</p>
Full article ">Figure 6
<p>Results of sensitivity analysis of levelized costs of energy criteria.</p>
Full article ">
27 pages, 5618 KiB  
Article
Exploring Energy Security and Independence for Small Energy Users: A Latvian Case Study on Unleashing Stirling Engine Potential
by Janis Kramens, Oskars Svedovs, Amanda Sturmane, Edgars Vigants, Vladimirs Kirsanovs and Dagnija Blumberga
Sustainability 2024, 16(3), 1224; https://doi.org/10.3390/su16031224 - 31 Jan 2024
Cited by 1 | Viewed by 1087
Abstract
Nowadays, energy systems are continuously impacted by external and internal conditions. The worldwide events of recent years have led to the need to consider not only the requirements for moving towards climate neutrality but also the security and independence of energy supply when [...] Read more.
Nowadays, energy systems are continuously impacted by external and internal conditions. The worldwide events of recent years have led to the need to consider not only the requirements for moving towards climate neutrality but also the security and independence of energy supply when creating new or transforming existing energy systems. The aim of this study was to answer the question of whether there is a possibility of transforming the energy supply process by promoting increased energy security and independence while not reducing energy demand, as well as creating high economic and environmental indicators. The research focuses on developing alternative scenarios for further decision-making studies by introducing modern energy technologies. Scenarios are analysed using the complex method developed, which includes three main steps: assessing the current situation, identifying available technologies, and assessing alternatives. The results suggest that Stirling’s technology can provide 100% energy independence for individual energy consumers. At the same time, thanks to the combination of Stirling technology and solar technologies, there is an opportunity to reduce emissions and energy production costs, but capital investment is increasing. Full article
Show Figures

Figure 1

Figure 1
<p>Links between energy security and sustainable development.</p>
Full article ">Figure 2
<p>Energy security evaluation scheme.</p>
Full article ">Figure 3
<p>Assumed emission factors for energy sources included in this study.</p>
Full article ">Figure 4
<p>Boundaries of the town of Ādaži included in this study (location of selected local municipal buildings).</p>
Full article ">Figure 5
<p>Correlation of thermal energy consumption and outdoor air temperature of selected municipal buildings during the heating season.</p>
Full article ">Figure 6
<p>Annual electricity consumption of selected municipal buildings.</p>
Full article ">Figure 7
<p>Energy technology efficiency dependency on load.</p>
Full article ">Figure 8
<p>Modified correlation of thermal energy consumption and outdoor air temperature of selected municipal buildings during the heating season.</p>
Full article ">Figure 9
<p>Annual total heat load of selected municipal buildings.</p>
Full article ">Figure 10
<p>Annual electricity consumption of selected municipal buildings after introduction of energy efficiency measures compared to the current situation.</p>
Full article ">Figure 11
<p>Thermal energy and electricity consumption and maximal load reduction possibilities.</p>
Full article ">Figure 12
<p>Specific energy cost of selected scenarios.</p>
Full article ">Figure 13
<p>Total investment for scenario implementation (<span class="html-italic">*</span> TEUR—Euros in units of thousands).</p>
Full article ">Figure 14
<p>Payback period of selected scenarios.</p>
Full article ">Figure 15
<p>Total amount of emissions of selected scenarios.</p>
Full article ">
17 pages, 4811 KiB  
Review
Trends for Stirling Engines in Households: A Systematic Literature Review
by Anna Kubule, Jānis Kramens, Madara Bimbere, Nerijus Pedišius and Dagnija Blumberga
Energies 2024, 17(2), 383; https://doi.org/10.3390/en17020383 - 12 Jan 2024
Cited by 4 | Viewed by 1964
Abstract
Reliable heat and power supply are among the basic household needs nowadays. It is especially topical in rural or distant locations that may be cut off from the energy grid due to extreme weather or other events. Nonetheless, the sustainability of our power [...] Read more.
Reliable heat and power supply are among the basic household needs nowadays. It is especially topical in rural or distant locations that may be cut off from the energy grid due to extreme weather or other events. Nonetheless, the sustainability of our power production systems has to be considered to sustain our planet’s long-term abilities to provide energy resources and a viable environment. Renewable energy resources must be prioritized in rural and remote areas, simultaneously strengthening distributed production ability and self-sufficiency. In this context, the use of the Stirling engine for heat to power generation in households, on the scale of small communities, and by using only renewable resources is becoming increasingly topical. Therefore, this research aims to identify the current state-of-the-art for Stirling engine applications using biomass as a renewable energy source, in the context of sustainability and energy security. The paper summarizes the current research tendencies at the household level in the use of biomass-based Stirling engines for renewable heat and power generation in decentralized energy systems. The methodology applied is a structured literature review and content analysis. The research results corroborate the progress towards the use of renewable resources and towards increased energy efficiency because the keyword and overlay analysis showed more frequent publishing in these areas. The content analysis on two more specific sub-directions of interest, i.e., biomass-fuelled Stirling engine use in households and Stirling engine implications on energy security, showed that though research activity in these directions has increased lately, more profound research is needed, especially on aspects of energy security and independence. The content analysis revealed a lack of in-depth analysis on the effects of Stirling engine use on energy security or energy independence, which is suggested as a topical subject for future research. Full article
(This article belongs to the Section I2: Energy and Combustion Science)
Show Figures

Figure 1

Figure 1
<p>Applied research methodology.</p>
Full article ">Figure 2
<p>Dynamics of publications mentioning “Stirling engine” divided by document type (data source: Scopus database).</p>
Full article ">Figure 3
<p>Dynamics of other topical keywords that are used in publications mentioning the keyword “Stirling engine” (data source: Scopus database).</p>
Full article ">Figure 4
<p>Geographical distribution of publications mentioning “Stirling engine” (data source: Scopus database; visualisation by authors (QGIS software, version 3.34.1.)).</p>
Full article ">Figure 5
<p>Network visualization of the most common countries in RQ1 sample (node weights based on document number, normalization by association strength, various colors represent different collaboration clusters) (data source: Scopus database, visualisation: VOS viewer software, version 1.6.19).</p>
Full article ">Figure 6
<p>Overlay visualization of the most common keywords in RQ1 sample (publication year-based color scale, node weights based on occurrences, scores based on average publication year) (data source: Scopus database, visualisation: VOS viewer software, version 1.6.19).</p>
Full article ">
8 pages, 1256 KiB  
Proceeding Paper
Heat Transfer Intensification in Recuperative Heat Exchangers of the Stirling Engine
by Abay Dostiyarov, Gulzira Koldassova, Nellya Jamankulova, Aliya Dostiyarova, Iliya Iliev and Ivan Beloev
Eng. Proc. 2024, 60(1), 13; https://doi.org/10.3390/engproc2024060013 - 10 Jan 2024
Viewed by 771
Abstract
The non-stationary mode of movement of the working fluid flow in the Stirling engine causes serious difficulties in the design of heat exchangers. In most cases, the operation of conventional commercial heat exchangers is considered under steady-state flow conditions with relatively slowly varying [...] Read more.
The non-stationary mode of movement of the working fluid flow in the Stirling engine causes serious difficulties in the design of heat exchangers. In most cases, the operation of conventional commercial heat exchangers is considered under steady-state flow conditions with relatively slowly varying parameters. Another situation is observed in Stirling engines, where the working fluid flow mode is characterized by significant changes in pressure, density and flow rate, the direction of which changes twice per cycle. These circumstances significantly complicate the design of regenerators and other heat exchangers for Stirling engines. The results of a theoretical and experimental study of recuperative heat exchangers in the Stirling engine system and possible ways to improve the efficiency of heat transfer in order to increase power and efficiency are considered in this article. A method of comparative evaluation of heat exchange surfaces efficiency is proposed under conditions of their operation in the engines with external heat supply system. Full article
Show Figures

Figure 1

Figure 1
<p>Installation for simulating the operating conditions of the recuperative heat exchanger (RHE) of the engines with external heat supply (EEHS): 1—spool; 2, 6, 9—valves; 3, 28—regenerators; 4, 27—coolers; 5, 11—manometers; 7—ramp; 8—reducer; 10, 11—receiver; 12—strain gauge station; 13—oscilloscope; 14—indicator ID-2I; 13, 15, 16—transformers; 17, 23—resistance thermometers; 18—ammeter; 19—heater tube; 20, 29, 30—potentiometers; 21—regulator; 22, 25—pressure sensors; 24—accumulating volume; 26—plug; 31—thermocouples; 32—electric motor.</p>
Full article ">Figure 2
<p>Crisis of temperature difference variation at the heater inlets.</p>
Full article ">Figure 3
<p>Heat exchange in the recuperative heat exchangers of the engine.</p>
Full article ">
22 pages, 2400 KiB  
Article
The Optimization of Steam Generation in a Biomass-Fired Micro-Cogeneration Prototype Operating on a Modified Rankine Cycle
by Krzysztof Sornek, Marcin Jankowski, Aleksandra Borsukiewicz and Mariusz Filipowicz
Sustainability 2024, 16(1), 9; https://doi.org/10.3390/su16010009 - 19 Dec 2023
Cited by 4 | Viewed by 2197
Abstract
According to the United Nations, one of the sustainable development goals is to ensure access to affordable, reliable, sustainable, and modern energy for all. Among other options, these goals can be achieved by developing and introducing micro-scale combined heat and power systems powered [...] Read more.
According to the United Nations, one of the sustainable development goals is to ensure access to affordable, reliable, sustainable, and modern energy for all. Among other options, these goals can be achieved by developing and introducing micro-scale combined heat and power systems powered by renewable energy sources, including solar and biomass energy. Considering renewable energy-powered cogeneration technologies, the most promising are steam/vapor turbines, Stirling engines, and thermoelectric generators. This paper focuses on the selected operational aspects and retrofitting optimization of the prototypical micro-cogeneration system powered by a biomass-fired batch boiler and operating according to the modified Rankine cycle. The existing installation was tested, and the amount of energy transferred from the oil to the condensate and steam and the efficiency of the evaporator and the superheater were determined. A retrofitting optimization aimed at maximizing the piston engine’s power output was conducted based on the results. In particular, it was shown that the system’s power output might be as high as 9 kWe. Moreover, the analyzed system featured a high energy utilization factor of 97.9% at optimal operating conditions. In general, it was shown that the micro-scale steam Rankine system may successfully serve as an alternative technology for micro- and distributed cogeneration systems. As a technology supplied with renewable biomass energy and operating on a cheap and environmentally friendly working medium (water), it fits very well into the idea of sustainable energy system development. Full article
Show Figures

Figure 1

Figure 1
<p>The general view (<b>a</b>) and simplified scheme (<b>b</b>) of the analyzed micro-CHP system.</p>
Full article ">Figure 1 Cont.
<p>The general view (<b>a</b>) and simplified scheme (<b>b</b>) of the analyzed micro-CHP system.</p>
Full article ">Figure 2
<p>T-s diagram of the Rankine cycle.</p>
Full article ">Figure 3
<p>Steam temperature (<b>a</b>) and pressure z (<b>b</b>) variations at the outlet from the superheater during series 1 and series 2.</p>
Full article ">Figure 4
<p>The differences in the water level variations in the evaporator during series 1 and series 2 (between 7<sup>0t</sup>h and 10<sup>0t</sup>h minutes).</p>
Full article ">Figure 5
<p>Variations in steam and condensate temperature during series 2.</p>
Full article ">Figure 6
<p>Variations in the steam and condensate pressure during series 2.</p>
Full article ">Figure 7
<p>Relationships between the electrical power output <span class="html-italic">P<sub>el</sub></span> and individual decision variables: (<b>a</b>) evaporation temperature <span class="html-italic">t<sub>eva</sub></span>, (<b>b</b>) superheating degree <span class="html-italic">SD</span>, (<b>c</b>) temperature difference Δ<span class="html-italic">t<sub>eva</sub></span>, (<b>d</b>) condensation temperature <span class="html-italic">t<sub>con</sub></span>, and (<b>e</b>) evaporation ratio <span class="html-italic">ER.</span></p>
Full article ">
610 KiB  
Proceeding Paper
A Novel Decision Approach for the Performance Analysis of a Gamma-Type Double Piston Stirling Engine
by Abdul Rab Asary, Basit Abdul, Abdul Samad and Mohammad Abul Hasan Shibly
Eng. Proc. 2023, 56(1), 151; https://doi.org/10.3390/ASEC2023-16625 - 14 Dec 2023
Viewed by 493
Abstract
Stirling engines represent a category of external heat transfer engines that demonstrate versatility by harnessing various heat sources, including solar energy, bio-mass, conventional fuel, and nuclear power. Achieving high thermal efficiency in power production has been a paramount concern driving researchers across the [...] Read more.
Stirling engines represent a category of external heat transfer engines that demonstrate versatility by harnessing various heat sources, including solar energy, bio-mass, conventional fuel, and nuclear power. Achieving high thermal efficiency in power production has been a paramount concern driving researchers across the globe to focus on developing Stirling engines. A gamma-type double-piston Stirling engine has been carefully selected for detailed analysis in this research endeavour. A polytropic model is employed in the investigation to gain deeper insights into the engine’s behaviour. The outcomes derived from the polytropic analysis are subsequently compared with a classical adiabatic analysis. Remarkably, the polytropic approach significantly outperforms the classical adiabatic analysis in enhancing the overall performance of the Stirling engine. The power and efficiency obtained from the ideal polytropic analysis were 90.30 W, which is very close to the ideal adiabatic and experimental efficiency. The results hold significant promise for advancing the efficiency and practical application of Stirling engines, reinforcing their position as a prominent contender in pursuing sustainable and highly efficient power generation technologies. Full article
(This article belongs to the Proceedings of The 4th International Electronic Conference on Applied Sciences)
Show Figures

Figure 1

Figure 1
<p>Comparison of the polytropic model with other thermodynamic models [<a href="#B3-engproc-56-00151" class="html-bibr">3</a>].</p>
Full article ">
18 pages, 5235 KiB  
Article
Environmental Impact Analysis of Residential Energy Solutions in Latvian Single-Family Houses: A Lifecycle Perspective
by Janis Kramens, Maksims Feofilovs and Edgars Vigants
Smart Cities 2023, 6(6), 3319-3336; https://doi.org/10.3390/smartcities6060147 - 27 Nov 2023
Cited by 1 | Viewed by 1311
Abstract
This study aims to compare the technological solutions that can contribute to more sustainable energy use in the residential sector. Specifically, the goal of the study is to evaluate the environmental impact of different energy (heat and electricity) supply technologies applicable for an [...] Read more.
This study aims to compare the technological solutions that can contribute to more sustainable energy use in the residential sector. Specifically, the goal of the study is to evaluate the environmental impact of different energy (heat and electricity) supply technologies applicable for an average size single-family building in Latvia, a country known for climatic condition characterized by cold winters with frequent snowfall. The study applies the lifecycle assessment methodology of ISO 14040 and the impact assessment method known as ReCiPe 2016 v1.1, which has not been used before for the scope addressed in the study in the context of single-family building energy supply technologies for climatic conditions in Latvia. Thus, the results of the study will provide new information for more sustainable energy solutions in this area of study. The technologies included in the defined scenarios are conventional boiler, electricity from the grid, Stirling engine, and solar photovoltaics (PV). The results of the lifecycle impact assessment for damage categories revealed that all scenarios have a high impact on human health due to fine particulate matter formation followed by global warming. Regarding the damage to the ecosystem, the terrestrial ecotoxicity category has highest impact, followed by global warming. Sensitivity analyses affirmed the model’s validity and also showed that the impacts of conventional systems were most sensitive to changes in electricity consumption, and therefore, the scenarios with electricity supply from a Stirling engine or PV can be considered a more robust solution under changing electricity demands from an environmental perspective. Full article
Show Figures

Figure 1

Figure 1
<p>System boundaries for Scenario 1.</p>
Full article ">Figure 2
<p>System boundaries for Scenario 2.</p>
Full article ">Figure 3
<p>System boundaries for Scenario 3.</p>
Full article ">Figure 4
<p>Overview of the impact categories covered in the ReCiPe 2016 method [<a href="#B40-smartcities-06-00147" class="html-bibr">40</a>]. The dashed line for fossil resources means there is no constant mid-to-endpoint factor for fossil resources.</p>
Full article ">Figure 5
<p>Network tree diagram for Scenario 1, cut-off 4%.</p>
Full article ">Figure 6
<p>Network tree diagram for Scenario 2, cut-off 4%.</p>
Full article ">Figure 7
<p>Network tree diagram for Scenario 3, cut-off 4%.</p>
Full article ">Figure 8
<p>Damage to human health measured in DALY across the three scenarios.</p>
Full article ">Figure 9
<p>Damage to ecosystem measured in PDF across the three scenarios.</p>
Full article ">Figure 10
<p>Damage to resource availability in USD2013 across the three scenarios.</p>
Full article ">Figure 11
<p>Single score results for the defined scenarios.</p>
Full article ">Figure 12
<p>Sensitivity analysis of electricity consumption for global warming potential, kg CO<sub>2</sub> eq.</p>
Full article ">Figure 13
<p>Sensitivity analysis of electricity consumption for single score, Ecopoints.</p>
Full article ">
560 KiB  
Proceeding Paper
Finite Physical Dimensions Thermodynamic Analysis for Gamma Stirling Engine
by Abdul Rab Asary, Basit Abdul, Abdul Samad and Mohammad Abul Hasan Shibly
Eng. Proc. 2023, 56(1), 287; https://doi.org/10.3390/ASEC2023-16266 - 15 Nov 2023
Viewed by 380
Abstract
In the foreseeable future, the depletion of finite fossil fuel reserves is a growing concern due to the increasing consumption of these resources by humans. Moreover, the emission of greenhouse gases from fossil fuel consumption contributes to global warming, resulting in significant harm [...] Read more.
In the foreseeable future, the depletion of finite fossil fuel reserves is a growing concern due to the increasing consumption of these resources by humans. Moreover, the emission of greenhouse gases from fossil fuel consumption contributes to global warming, resulting in significant harm to the Earth’s ecosystem. The Stirling engine (SE) offers an outstanding solution for harnessing various heat sources, including solar, nuclear, and fossil fuels, among others. It provides numerous advantages, such as high efficiency, a long lifespan, low noise levels, and minimal or no emissions. This study conducts a finite physical dimensions thermodynamic analysis (FPDT) on a gamma-type double-piston cylinder engine and compares the results with other isothermal models and experimental data. The current model’s results align closely with those of other thermodynamic models. Full article
(This article belongs to the Proceedings of The 4th International Electronic Conference on Applied Sciences)
Show Figures

Figure 1

Figure 1
<p>Comparison of FPDT model with other isothermal models and experimental data [<a href="#B5-engproc-56-00287" class="html-bibr">5</a>].</p>
Full article ">
1001 KiB  
Proceeding Paper
A Novel Close Loop Analysis of Gamma Prototype Stirling Engine
by Abdul Rab Asary, Basit Abdul, Abdul Samad and Mohammad Abul Hasan Shibly
Eng. Proc. 2023, 56(1), 119; https://doi.org/10.3390/ASEC2023-15276 - 26 Oct 2023
Viewed by 508
Abstract
Air pollution is greatly influenced by the emissions generated by automotive engines, making it a pressing concern. To address this issue, a considerable amount of research is currently devoted to recovering waste heat from these engines. A gamma-type Stirling engine has been meticulously [...] Read more.
Air pollution is greatly influenced by the emissions generated by automotive engines, making it a pressing concern. To address this issue, a considerable amount of research is currently devoted to recovering waste heat from these engines. A gamma-type Stirling engine has been meticulously chosen to achieve this specific objective. This study elucidates a new isothermal method that effectively analyses Stirling engines. A set of differential equations is proficiently solved by employing the powerful MATLAB R2020a software. Remarkably, the simulation results obtained from this computational approach closely align with the experimental data, indicating the accuracy and reliability of the methodology. Furthermore, this research delves into the feasibility of employing the Stirling engine as a Combined Cooling, Heating and Power (CCHP) system, shedding light on its potential applications in various domains. Full article
(This article belongs to the Proceedings of The 4th International Electronic Conference on Applied Sciences)
Show Figures

Figure 1

Figure 1
<p>(<b>a</b>) Comparison of pV-diagram of new isothermal model and other models (<b>b</b>) derivative of work done [<a href="#B1-engproc-56-00119" class="html-bibr">1</a>].</p>
Full article ">Figure 2
<p>Temperature diagram of the heat exchanger of Stirling engine.</p>
Full article ">
583 KiB  
Proceeding Paper
Enhancing Gamma Stirling Engine Performance through Genetic Algorithm Technique
by Abdul Rab Asary, Basit Abdul, Abdul Samad and Mohammad Abul Hasan Shibly
Eng. Proc. 2023, 56(1), 29; https://doi.org/10.3390/ASEC2023-15264 - 26 Oct 2023
Viewed by 635
Abstract
The Stirling engine, invented in 1816, was initially lacking comprehensive scientific understanding, which only surfaced after a considerable 50-year period. In the present era, impressive strides have been made in enhancing the performance of Stirling engines by implementing thermodynamic cycles. Despite these advancements, [...] Read more.
The Stirling engine, invented in 1816, was initially lacking comprehensive scientific understanding, which only surfaced after a considerable 50-year period. In the present era, impressive strides have been made in enhancing the performance of Stirling engines by implementing thermodynamic cycles. Despite these advancements, there remains untapped potential for further improvements by applying soft computing methods. To address this, the focal point of this research paper centres around optimizing the Stirling engine, specifically focusing on a gamma-type double-piston Stirling engine and leveraging genetic algorithms to achieve the desired enhancements. The results from this analysis are meticulously compared with experimental data, validating the approach’s efficacy. Additionally, this paper explores the potential impact of utilizing cryogenic fluids as coolants on the Stirling engine’s performance. Full article
(This article belongs to the Proceedings of The 4th International Electronic Conference on Applied Sciences)
Show Figures

Figure 1

Figure 1
<p>Comparison of the optimized model with another thermodynamic model [<a href="#B1-engproc-56-00029" class="html-bibr">1</a>].</p>
Full article ">
Back to TopTop