1. Introduction
With the implementation of the dual carbon strategy, prefabricated buildings are bound to become the primary construction method in China [
1]. EPS (Expanded Polystyrene) module buildings, due to their excellent insulation properties, strong seismic resistance, long durability, low construction costs, fast construction speed, and labor-saving advantages, have been widely applied in rural self-built houses in northern China [
2].
Figure 1 presents a self-built EPS module rural residence in Liufen Village, Heze City, Shandong Province. The building features exterior walls constructed with EPS modules, a floor assembly comprising a 50 mm thick EPS insulation layer overlaid by a 100 mm concrete screed, and a roof structure consisting of a 100 mm cast-in-place concrete slab topped with a 60 mm EPS insulation layer. Indoor and outdoor bedroom temperatures were recorded from January 9 to 11, 2023 (
Figure 2). During this period, the bedroom was unoccupied and no heating system was in operation, providing baseline data for evaluating the building’s thermal performance. The measured data indicates that, in the absence of indoor heating sources, the average indoor temperature was 10.2 °C, which is 4.7 °C higher than the outdoor temperature, demonstrating the good thermal insulation performance of the EPS module rural residence and its ability to effectively resist cold outdoor weather. The indoor daily temperature difference was 11.3 °C, with a maximum daytime temperature of 18.7 °C and a minimum nighttime temperature of 7.4 °C, which is lower than the design requirement of ≥14 °C for the indoor temperature of the rural residence [
3]. The reason for this is that both the interior and exterior sides of the EPS module walls are composed of insulation panels, resulting in poor indoor heat storage capacity and significant indoor temperature fluctuations between day and night [
2]. Therefore, in order to promote EPS module rural residences, it is essential to enhance their indoor heat storage capacity, improve thermal stability, and increase the indoor temperature at night to meet the requirements for continuous use throughout the day.
The EPS module rural residences employ sandwich wall structures, with reinforced concrete cores sandwiched between insulation panels on both sides. The thermal insulation performance and air tightness of these envelope structures are far superior to those of traditional rural houses. However, these structures are unable to accommodate heavy heat storage interior walls, such as concrete or water tanks, to enhance the building’s thermal stability. Therefore, phase change materials (PCMs) have emerged as an effective solution to improve the poor indoor heat storage capacity of EPS module rural residences. Researchers both domestically and internationally have explored the use of encapsulated phase change materials in building applications from two main aspects: material development and structural optimization [
4,
5,
6,
7,
8,
9]. The research mainly focuses on the development of composite phase change building materials, such as form-stable phase change components and microencapsulated phase change mortars, with emphasis on material preparation and encapsulation techniques [
10,
11,
12,
13,
14]. Zeng et al. (2009) [
15] developed a shaped phase change floor encapsulating paraffin with high-density polyethylene material, which was applied in the ultra-low energy consumption demonstration building at Tsinghua University. The indoor temperature fluctuation was controlled within 6 °C throughout the day, marking the first engineering practice of composite phase change materials in China. Cunha et al. (2014) [
16] researched and tested the heat storage capacity of phase change microcapsule concrete with a phase change temperature of 26 °C. The experimental results showed that the phase change microcapsule concrete walls exhibited good thermal inertia. Wen et al. (2022) [
17] prepared phase change microcapsules of n-octadecane and their steel slag cement mortar, with experimental data indicating that the temperature difference between the inside and outside of the cement mortar was largest when the phase change microcapsule content was 15%, although the mechanical strength was lower than that of pure cement mortar. Research on the structural optimization of phase change building components, including walls, floors, and roofs, has mainly focused on factors such as phase change temperature, material thickness, structural layers, and spatial distribution. However, research on building envelope design, such as window–wall ratios and heat transfer coefficients, remains insufficient. Zhou et al. (2014) [
18] explored the influence of phase change temperature, latent heat, thermal conductivity, and surface heat transfer coefficient on the thermal performance of phase change wall panels, pointing out that the optimal phase change temperature for interior walls is equal to the average indoor air temperature. Li et al. (2019) [
19] studied the effect of phase change material thickness in phase change walls on the building’s thermal performance. The simulation results indicated that increasing the thickness of the phase change material reduces the temperature fluctuation amplitude on the interior surface of the envelope structure. Qiao et al. (2020) [
20] and colleagues examined the effect of the location of phase change heat storage layers in different structural layers of exterior walls on indoor temperature. The experimental results showed that placing the phase change heat storage layer on the interior side of the building effectively reduced indoor temperature peaks. Meng et al. [
21] and colleagues investigated the effect of four spatial distribution patterns of shaped phase change walls on indoor temperature stability. Simulation results revealed that not all distribution patterns effectively utilized the heat storage potential of the phase change walls.
In summary, phase change microcapsule mortar (referred to as phase change mortar) can be used as the plaster on the interior side of the building envelope in EPS module rural residences to improve indoor thermal stability. However, there is a lack of research on the optimization design of such building envelopes. This study first experimentally validates the effectiveness of phase change mortar in enhancing the indoor heat storage capacity of EPS module rural residences. Then, aiming to improve indoor temperature and thermal stability, a study on the optimization design of the EPS module rural residence building envelope is conducted, with variables including heat transfer coefficient of the building envelope, window–wall ratio, phase change temperature, and phase change mortar thickness. The research focuses on the application of phase change mortar in EPS module rural residences in cold and severe cold regions, providing quantitative recommendations for improving the indoor thermal performance of EPS module rural residences.
2. Experimental Exploration
The data from small-scale model testing can be used to verify the thermal performance of full-scale buildings [
22]. Although small-scale models tend to heat up faster and reach higher peak temperatures than full-scale buildings [
23], they are suitable for comparative studies. In this study, two scaled models—one with phase change mortar and one without—were tested to verify whether phase change mortar can effectively regulate indoor temperature in EPS module rural residences.
A small-scale physical model, constructed with the same building materials and assemblies as the full-scale building but at reduced spatial dimensions, offers a scientific approach to investigating thermal performance [
22]. In this study, two 1:5 scaled models (
Figure 3) representing a typical bedroom in rural residences were constructed. The dimensions of the typical room scaled model were 780 mm (width) × 960 mm (depth) × 600 mm (height), with a south-facing window of 420 mm × 300 mm. The building envelope used 120 mm thick expanded polystyrene (EPS) boards with a thermal conductivity of 0.33 W/(m·K), and the window used a transparent polycarbonate sheet with a heat transfer coefficient of 2.0 W/(m
2·K). All model seams were sealed with structural adhesive. The phase change mortar was prepared by mixing paraffin phase change microcapsules with plaster mortar in a 1:3 ratio. The paraffin phase change microcapsules were made using high-purity straight-chain alkane paraffin as the core material and polymethyl methacrylate as the shell material. Differential scanning calorimetry (DSC) was used to test the latent heat of the prepared phase change mortar. The results indicated that the phase change temperature was 17.79 °C, with a latent heat of 72.461 J/g. The phase change mortar was applied to the interior surface of the experimental model’s external wall, while the control model’s interior wall was coated with cement mortar, both with a thickness of 10 mm.
The wall surface and air temperatures of the two model sets were measured during the experiment. Four temperature measurement points were set on the interior wall of the model’s walls, and one temperature measurement point was placed on the floor. Additionally, one air temperature measurement point was located 300 mm above the floor. Data from each point were recorded every 5 min. The average temperature of the five wall surface measurement points was taken as the model’s wall surface temperature. The experimental data are shown in
Figure 4. Compared to the control group, the wall surface temperature of the experimental group model increased by 0.35 °C. The average air temperature within the model remained unchanged, while the maximum temperature decreased by 4.3 °C, and the minimum temperature increased by 0.4 °C. The daily temperature fluctuation range was reduced by 4.7 °C. The experiment demonstrates that paraffin phase change mortar can increase indoor wall surface temperature and nighttime winter indoor temperature, reduce temperature fluctuations throughout the day, and improve indoor thermal stability without decreasing the average indoor temperature.
From January 1 to 3, 2024, under clear weather conditions, the inner wall surface temperatures and indoor air temperatures of the two models were continuously monitored in Jinan, with data collected at 10 min intervals.
Figure 4 shows the positions of seven wall surfaces and one air temperature measurement point, with the latter located 300 mm above the floor. As shown in
Figure 5, the experimental group exhibited a slight increase in average indoor air temperature and average wall surface temperature compared with the control group, by 0.35 °C and 0.42 °C, respectively. In contrast, the daily indoor air temperature fluctuation decreased by 4.7 °C, while the surface temperature differences between the south and north walls decreased by 6.4 °C and 6.5 °C, respectively. These findings indicate that paraffin microcapsule phase change mortar is effective in regulating indoor temperature and improving thermal stability. However, its influence on increasing the average indoor temperature is limited, as the total solar heat gain indoors remains constant, and the mortar primarily functions by redistributing the timing of the heat that is partially stored.
4. Simulation Data Analysis
4.1. Correlation Analysis
This study conducted simulations for six cities—Beijing, Harbin, Shenyang, Dalian, Yinchuan, and Lhasa—covering a total of 350 combinations of four building envelope optimization design variables, thereby obtaining the indoor operative temperatures under 350 working conditions. Based on these datasets, SPSS 26.0 software was employed to analyze the correlations between climate variables, building envelope variables, and indoor operative temperature. The results indicate the following:
Wall thermal transmittance, phase change temperature, Phase Change Material (PCM) thickness, and representative city exert significant impacts on indoor operative temperature, with all significance (Sig.) values equal to 0.000.
The window-to-wall area ratio shows a relatively weaker influence on indoor operative temperature, with a significance (Sig.) value of 0.008.
4.2. Wall Thermal Transmittance
Beijing, Dalian, Shenyang, and Harbin belong to four building thermal design zones with relatively abundant solar resources.
Figure 8 and
Figure 9 present the variations in discomfort hours
and indoor temperature improvement rate
Y under two wall thermal transmittance conditions when Phase Change Mortar (PCM) is applied.
For Harbin in Severe Cold Zone 1C and Shenyang in Severe Cold Zone 1B, the performance of Type II walls in terms of and is significantly better than that of Type I walls. Specifically, decreases by 3436.74 K·h and 2341.24 K·h, while Y increases by 23.48% and 25.94%, respectively. In contrast, for Beijing in Cold Zone 2B and Dalian in Cold Zone 2A, the differences in and between Type I and Type II building envelopes are less pronounced; decreases slightly, while Y decreases by 2.45% and 5.81%, respectively. Therefore, Type I walls are recommended for cold regions, while Type II walls are more suitable for severe cold regions.
4.3. Phase Change Temperature
Lhasa, Yinchuan, and Dalian belong to three solar energy resource zones within Cold Zone 2A. The average daily solar radiation during the heating season is used to characterize the solar energy availability in these cities, as shown in
Figure 10. Simulation results of applying Phase Change Mortar (PCM) to Type I walls in these cities are presented in
Figure 11. The results indicate that Lhasa achieves the highest indoor temperature improvement rate
of 100%, while exhibiting the lowest increase in comfort hours
W of only 7 h.
To further investigate this phenomenon, simulations were conducted with phase change temperature as the variable, assuming a PCM thickness of 10 mm and a window-to-wall ratio of 0.2. The study examined Type I walls in Lhasa, Yinchuan, Beijing, and Dalian, and Type II walls in Shenyang and Harbin. The variations in average operative temperature during the heating season (
) and the indoor operative temperature difference on the winter solstice (Δ
T) are shown in
Figure 12.
Considering both the average operative temperature
and the temperature difference on the winter solstice (ΔT), the optimal phase change temperature of PCM for EPS module rural residences in Lhasa is 21 °C, in Yinchuan, Beijing, and Dalian is 18 °C, and in Shenyang and Harbin is 15 °C. As shown in
Figure 13, the optimal phase change temperature is 2–4 °C higher than the corresponding
.
4.4. PCM Layer Thickness
Using PCM thickness as the variable, simulations were conducted under the optimal phase change temperature with a window-to-wall ratio of 0.2. PCM thicknesses of 10 mm, 20 mm, 30 mm, and 40 mm were tested for Type I building envelope walls in Beijing, Yinchuan, and Dalian, and for Type II walls in Harbin and Shenyang. The resulting degree-hours of discomfort () and indoor temperature improvement rate () of EPS module rural residences were analyzed.
Figure 14 presents
for the five cities under different PCM thicknesses. The results show that
is inversely related to PCM thickness. At certain PCM thicknesses,
decreases significantly. Considering both performance and cost-effectiveness, the optimal PCM thickness is 20 mm for Harbin, Shenyang, and Dalian, 30 mm for Yinchuan, and 40 mm for Beijing.
Figure 15 illustrates
under varying PCM thicknesses across the five cities. The improvement rate increases as PCM thickness approaches its optimal value, with the maximum
observed in Dalian at a thickness of 20 mm, where the improvement reaches 51.08%.
4.5. Window-to-Wall Ratio
Using the window-to-wall ratio as the variable, simulations were conducted under the optimal phase change temperature for ratios of 0.2, 0.3, and 0.4. The tested cases included Type I walls in Lhasa, Beijing, Dalian, and Yinchuan, and Type II walls in Harbin and Shenyang. The analyzed indicators included the indoor operative temperature difference on the winter solstice (Δ
T), daily maximum temperature (
), daily minimum temperature (
), and daily average temperature, as shown in
Figure 16 and
Figure 17.
Figure 16 demonstrates that for all six cities, when the window-to-wall ratio is 0.4, Δ
T reaches its maximum value, indicating the poorest thermal stability. The reason is that a larger window area allows for greater solar heat gain during the day, increasing
, while also causing greater heat loss at night, reducing
. This results in a larger Δ
T and thus reduced indoor thermal stability.
Figure 17 shows that under the three window-to-wall ratio conditions, the range of variation in the daily average temperature on the winter solstice is only 0.19–0.67 °C, indicating that the effect of window-to-wall ratio on indoor temperature is relatively small. Therefore, the window-to-wall ratio has limited influence on the indoor operative temperature of EPS module rural residences. However, nighttime insulation measures for external windows in winter can effectively increase
, thereby reducing daily indoor temperature fluctuations.
4.6. Results and Discussion
Jinan, similar to Beijing, belongs to cold climate zone 2B and benefits from relatively abundant solar resources. In the experimental study, the model adopted Type I EPS module exterior walls, a PCM plaster with a phase change temperature of 18 °C (measured 17.79 °C), and a window-to-wall ratio of 0.26. Considering the high cost of paraffin-based PCM microcapsules, the PCM layer thickness was restricted to 10 mm. On the experimental day, the measured average indoor air temperature was 7.55 °C, compared with the simulated value of 8.13 °C, resulting in a deviation of 7.1%, which demonstrates the accuracy of the numerical model.
The analysis indicates that severe indoor temperature fluctuations in well-insulated and airtight EPS module houses are mainly caused by the limited thermal mass of their special sandwich structure. By introducing PCM plaster as an interior finishing layer, the temporal distribution of solar heat can be modified. During periods of elevated indoor temperature, typically in the daytime, the PCM absorbs surplus solar heat and stores it as latent heat. As temperatures drop at night, the stored heat is gradually released, mitigating nighttime temperature fluctuations.
This study specifically focuses on the design variables of EPS modules and PCM plaster, including the thickness of the exterior insulation layer in EPS modules, as well as the phase change temperature and thickness of the PCM plaster. The objective is to explore how solar radiation transmitted through windows can be more effectively redistributed in EPS module rural houses without heating equipment. Although the window-to-wall ratio was included in the optimization process, the results indicate that its influence on indoor thermal stability is minimal compared with the effects of EPS module thermal transmittance, PCM phase change temperature, and PCM thickness.
It is worth noting that the present work only considers solar heat gains, whereas in real operation, kang systems, electric heating devices, and coal stoves also serve as important heating sources in rural houses. Accordingly, the optimization conclusions drawn here are specifically applicable to EPS module rural houses with PCM plaster under conditions without auxiliary heating equipment.
In addition, while most existing studies use indoor air temperature as the sole indicator of thermal stability [
3], the application of PCM plaster also alters the dynamics of wall surface temperatures. Therefore, operative temperature was employed in this study as a more comprehensive evaluation index, accounting for both air and surface temperature variations. Inspired by the concept of heating degree days, a new metric, the “discomfort hours,” was defined to jointly integrate the dimensions of time and temperature, providing a more holistic assessment of indoor thermal conditions.
In summary, this study not only validates the effectiveness of PCM plaster in stabilizing indoor thermal environments of EPS module rural houses, but also introduces operative temperature and discomfort hours as innovative evaluation metrics, offering a more comprehensive framework for assessing thermal stability in cold-climate rural buildings.
5. Conclusions
The main conclusions regarding the optimization design of EPS module rural residence envelopes incorporating phase change microcapsule mortar are as follows:
(1) Climate adaptability of EPS modules and PCM plaster:
The thermal transmittance of EPS module walls is the key factor influencing indoor temperature in rural residences. Appropriate wall types should be selected according to climatic conditions: Type II walls are recommended for severely cold regions, while Type I walls are suitable for cold regions. The effectiveness of PCM plaster in improving indoor temperature is limited in solar-rich cold regions (e.g., Lhasa), where its application is not recommended.
(2) Optimization of PCM plaster design parameters:
An optimal phase change temperature and thickness exist for PCM plaster applied in EPS module rural residences. The optimal phase change temperature should be 2–4 °C higher than the average indoor operative temperature during the heating period. Specifically, 18 °C is recommended for Type I walls in Yinchuan, Beijing, and Dalian, while 15 °C is recommended for Type II walls in Shenyang and Harbin. Under these conditions, the optimal thicknesses are 20 mm for Harbin, Shenyang, and Dalian; 30 mm for Yinchuan; and 40 mm for Beijing. This optimization strategy balances indoor temperature improvement and construction cost, achieving more rational design.
Compared with the window-to-wall ratio, nighttime insulation measures for external windows in winter are more effective in enhancing the daily stability of indoor temperature.
(3) Innovative evaluation of indoor thermal stability
This study introduces operative temperature and discomfort hours as novel metrics to evaluate the thermal performance of EPS module rural houses, providing a more comprehensive framework for assessing indoor thermal stability in cold-climate rural buildings. This approach is particularly suitable for buildings using phase change materials on interior wall surfaces, such as PCM plaster.