Photovoltaic photo-thermal energy storage heating system
By introducing an auxiliary heating assembly into the photovoltaic thermal energy storage heating system and utilizing a combination design of an electric heating rod and a thermostat, the problem of unstable heating in the photovoltaic thermal energy storage heating system under extreme weather conditions is solved, achieving on-demand heating and efficient energy utilization.
Patent Information
- Application Number
- CN202510970551.9
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-07-15
- Publication Date
- 2025-09-26
AI Technical Summary
The existing photovoltaic thermal energy storage heating system cannot heat the heating water on demand during continuous rainy days or extremely low temperature weather, resulting in unstable heating and energy loss.
An auxiliary heating assembly is introduced into the system, which includes a heating box, an electric heating rod and a thermostat. The combined design of the positioning slot and the positioning plate ensures that the heating component is safe and removable. The electric heating rod is used to start when the light and heat energy is insufficient. The flow meter and thermometer are combined for real-time monitoring and control to achieve heating on demand.
Ensure that heating water can be heated on demand when solar and thermal energy is insufficient, avoid energy waste, improve heating stability and safety, and adapt to extreme weather conditions.
Smart Images

Figure CN120702008A_ABST
Abstract
Description
Technical Field
[0001] The present invention belongs to the technical field of energy storage heating systems, and specifically relates to a photovoltaic thermal energy storage heating system. Background Art
[0002] The photovoltaic (PV) and solar thermal (CSP) energy storage heating system is a comprehensive clean energy heating system that integrates solar photovoltaic (PV) power generation, solar thermal (CSP) collection, and energy storage technologies. Its core principle is to convert solar energy into electricity through PV panels, heat through CSP collectors, and excess energy stored in energy storage devices. This energy is released during periods of low sunlight or peak heating demand, achieving stable heating.
[0003] However, the existing device does not have auxiliary heating components installed at the heating water supply point. It cannot heat the hot water on demand before it is delivered to the terminal during continuous rainy days or extremely low temperature weather. It cannot be started and stopped as needed to avoid energy loss from repeated heating of stored water. As a result, the device cannot supplement heat when solar thermal heat collection is insufficient, and the stability of heating cannot be ensured. Summary of the Invention
[0004] The purpose of the present invention is to provide a photovoltaic thermal energy storage heating system in order to solve the above-mentioned problems.
[0005] The technical solution adopted by the present invention is as follows: it includes a photovoltaic thermal assembly, an energy storage assembly, and an auxiliary heating assembly. The photovoltaic thermal assembly contains a base, and the auxiliary heating assembly contains a heating box. The upper surface of the heating box is provided with multiple positioning grooves, and the outer surface of the positioning groove is fitted with a positioning plate. The positioning groove and the internal thread of the positioning plate are installed with bolts. A sealing ring is fixedly installed on the lower surface of the positioning plate, and an electric heating rod is fixedly installed on the lower surface of the sealing ring. A thermostat is fixedly installed on the upper surface of the positioning plate, and a heater interface is provided on the upper surface of the thermostat.
[0006] In a preferred embodiment, circuit installation grooves are fixedly installed around the upper surface of the heating box, and a plurality of heater connectors are fixedly installed inside the circuit installation grooves.
[0007] In a preferred embodiment, a fourth pipe is fixedly installed on the right outer surface of the heating box, and a fifth pipe is fixedly installed on the left outer surface of the heating box.
[0008] In a preferred embodiment, a flow meter is fixedly installed between the outer surfaces of the fourth pipe and the fifth pipe, and a thermometer is fixedly installed between the outer surfaces of the fourth pipe and the fifth pipe.
[0009] In a preferred embodiment, a photovoltaic thermal integrated machine is fixedly mounted on the upper end of the front outer surface of the base, a battery cabinet is fixedly mounted on the middle of the upper surface of the base, and a photovoltaic inverter is fixedly mounted on the right outer surface of the battery cabinet.
[0010] In a preferred embodiment, the energy storage assembly includes a support frame inside, and a hot water storage tank is fixedly mounted on the upper surface of the support frame.
[0011] In a preferred embodiment, a first pipe is fixedly installed between the photovoltaic thermal integrated machine and the heat storage tank, a first water pump is fixedly installed in the middle of the outer surface of the first pipe, and a second pipe is fixedly installed between the photovoltaic thermal integrated machine and the heat storage tank.
[0012] In a preferred embodiment, an inspection door is provided on the upper surface of the hot water storage tank, and a ladder is fixedly installed on the right outer surface of the hot water storage tank.
[0013] In a preferred embodiment, a water supply valve is fixedly installed on the upper surface of the hot water storage tank, and a water discharge valve is fixedly installed on the right outer surface of the hot water storage tank.
[0014] In a preferred embodiment, a third pipe is fixedly installed on the rear outer surface of the hot water storage tank, and a second water pump is fixedly installed in the middle of the third pipe.
[0015] In summary, due to the adoption of the above technical solution, the beneficial effects of the present invention are:
[0016] 1. In the present invention, when the light and heat energy is insufficient, the auxiliary heating assembly supplements the heat energy for the heating water through its own components to ensure the heating effect. The heating box serves as a heat exchange container, which is used to absorb the heat of the electric heating rod for the water flowing inside, and provides an installation position for accommodating other components of the auxiliary heating assembly. A combination of a positioning groove and a positioning plate is adopted. The positioning groove and the positioning plate are quickly aligned through a card slot design to ensure that the heating component is vertically inserted into the heating box to avoid local overheating caused by tilting, and the positioning groove and the positioning plate are fixed to the upper surface of the heating box by bolts between the positioning groove and the positioning plate to prevent loosening caused by vibration or water pressure shock, thereby improving the safety of the component. In addition, the heating component can be quickly replaced by removing the bolts, which speeds up the replacement when the heating component is damaged. The sealing ring fills the gap between the positioning plate and the heating box to prevent hot water from seeping out, and the sealing ring is made of silicone rubber to prevent heat from being conducted to the outside and reducing the heating effect.
[0017] 2. In the present invention, the electric heating rod is the main part of the heating component. It generates heat through the resistance wire and converts electrical energy into thermal energy. It is started when the solar thermal energy storage is insufficient to maintain the heating water temperature. Multiple electric heating rods are set in the heating box to increase the heating speed of the water flowing through the heating box, so that the heating water reaches the appropriate temperature as soon as possible. The thermostat detects the water temperature in the heating box in real time through the built-in PT100 thermal resistor. When the water temperature is lower than the set value, it automatically connects the power supply and cuts off when it is higher than the set value to achieve constant temperature control while avoiding energy waste caused by continuous heating. The heater interface provides conditions for connecting external power and signals, supplies power to the electric heating rod and thermostat, and ensures their normal use. By installing a component for auxiliary heating at the heating water supply of the device, the purpose of heating the hot water on demand before it is delivered to the terminal can be met during continuous rainy days and extremely low temperature weather. The heating component can be started and stopped on demand by monitoring the temperature to avoid energy loss from repeated heating of the stored water, so that the device can supplement heat when solar thermal heat collection is insufficient to ensure heating stability.
[0018] 3. In the present invention, the flow meter displays the medium flow rate in real time, reflecting the system circulation efficiency. The thermometer measures the temperature of the medium inside the fourth pipe to determine the residual heat of the energy storage assembly. When the thermometer in the fourth pipe detects that the temperature is too low, the thermometer is electrically connected to the electric heating rod and the temperature controller to start the heating component for heating. After the heating component is started, the thermometer simultaneously measures the temperature of the fifth pipe to verify the heating effect. BRIEF DESCRIPTION OF THE DRAWINGS
[0019] Figure 1 This is a schematic structural diagram of the front side of the three-dimensional structure of the present invention;
[0020] Figure 2 It is a schematic structural diagram of the left side of the three-dimensional structure of the present invention;
[0021] Figure 3 This is a schematic structural diagram of the three-dimensional rear side of the present invention;
[0022] Figure 4 This is a schematic structural diagram of the heating assembly of the present invention;
[0023] Figure 5 This is a schematic structural diagram of the heating assembly of the present invention;
[0024] Figure 6 This is a simplified structural diagram of the energy storage assembly of the present invention.
[0025] Markings in the figure: 1-photovoltaic thermal assembly, 2-energy storage assembly, 3-auxiliary heating assembly, 11-base, 12-photovoltaic thermal integrated machine, 13-battery cabinet, 14-photovoltaic inverter integrated machine, 15-first pipeline, 16-first water pump, 17-second pipeline, 21-support frame, 22-heat storage tank, 23-inspection door, 24-ladder, 25-water supply valve, 26-drain valve, 27-third pipeline, 28-second water pump, 31-heating box, 32-positioning groove, 33-positioning plate, 34-bolt, 35-sealing ring, 36-electric heating rod, 37-thermostat, 38-heater interface, 39-line installation groove, 310-heater connector, 311-fourth pipeline, 312-fifth pipeline, 313-flow meter, 314-thermometer. DETAILED DESCRIPTION
[0026] In order to make the purpose, technical solutions and advantages of the present invention more clearly understood, the present invention will be further described in detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the present invention and are not intended to limit the present invention.
[0027] Reference Figure 1-Figure 5, including a photovoltaic thermal assembly 1, an energy storage assembly 2, and an auxiliary heating assembly 3. The interior of the photovoltaic thermal assembly 1 includes a base 11, and the interior of the auxiliary heating assembly 3 includes a heating box 31. The upper surface of the heating box 31 is provided with multiple positioning grooves 32, and the outer surface of the positioning groove 32 is fitted with a positioning plate 33. The positioning groove 32 and the internal threaded mounting bolt 34 of the positioning plate 33 are fixedly installed on the lower surface of the positioning plate 33. The lower surface of the sealing ring 35 is fixedly installed with an electric heating rod 36. The upper surface of the positioning plate 33 is fixedly installed with a thermostat 37. The upper surface of the thermostat 37 is provided with a heater interface 38. The photovoltaic thermal assembly 1 converts solar energy into electrical energy through photovoltaic components to power the system, and uses the thermal components to absorb solar energy and convert light energy into It is a heat energy that directly heats the medium, realizes dual energy collection, and improves the utilization rate of solar energy. The base 11 is used to bear the weight of the equipment and provide a stable installation foundation for other equipment. When the light and heat energy is insufficient, the auxiliary heating assembly 3 supplements the heat energy for the heating water through its own components to ensure the heating effect. The heating box 31 is used as a heat exchange container to absorb the heat of the electric heating rod for the water flowing inside, and provides an installation position for accommodating other components of the auxiliary heating assembly 3. A combination of a positioning groove 32 and a positioning plate 33 is adopted. The positioning groove 32 and the positioning plate 33 are quickly aligned through a card slot design to ensure that the heating component is vertically inserted into the heating box 31 to avoid local overheating caused by tilting, and it is fixed between the positioning groove 32 and the positioning plate 33 by bolts 34. The upper surface of the heating box 31 can prevent loosening caused by vibration or water pressure shock, thereby improving the safety of the component. In addition, the heating component can be quickly replaced by removing the bolts 34, which increases the replacement speed when the heating component is damaged. The sealing ring 35 fills the gap between the positioning plate 33 and the heating box 31 to prevent hot water from leaking, and the sealing ring 35 is made of silicone rubber, which can prevent heat from being conducted to the outside and reducing the heating effect. The electric heating rod 36 is the main part of the heating component. It heats up through the resistance wire and converts electrical energy into thermal energy. It starts when the photothermal energy storage is insufficient, thereby maintaining the heating water temperature. A plurality of electric heating rods 36 are arranged in the heating box 31 to increase the heating speed of the water flowing through the heating box 31, so that the heating water reaches the appropriate temperature as soon as possible. The thermostat 37 detects the water temperature in the heating box in real time through the built-in PT100 thermal resistor. When the water temperature is lower than the set value, the power is automatically connected, and when it is higher than the set value, it is cut off to achieve constant temperature control and avoid energy waste caused by continuous heating. The heater interface 38 provides conditions for connecting external power and signals, and supplies power to the electric heating rod 36 and the thermostat 37 to ensure their normal use. By installing auxiliary heating components at the heating and water supply of the device, the purpose of heating the hot water on demand before it is delivered to the terminal can be met during continuous rainy days and extremely low temperature weather. The heating component can be started and stopped on demand by monitoring the temperature to avoid energy loss from repeated heating of the stored water, so that the device can supplement heat when the solar thermal collection is insufficient to ensure heating stability.
[0028] Reference Figure 2-Figure 4 The upper surface of the heating box 31 is fixedly installed with line installation grooves 39, and multiple heater connectors 310 are fixedly installed inside the line installation grooves 39. The line installation grooves 39 enable the power lines on the upper surface of the heating box 31 to be centrally stored, so that the direction of the lines is clear, which is conducive to later maintenance. The lower end of the heater connector 310 can be fitted together with the heater interface 38. After combining the heater interface 38 with the heater connector 310, an electrical connection can be established between the heating component and the device to ensure the normal use and control of the heating component.
[0029] Reference Figure 3 and Figure 4 A fourth pipe 311 is fixedly installed on the right outer surface of the heating box 31, and a fifth pipe 312 is fixedly installed on the left outer surface of the heating box 31. The fourth pipe 311 is used to introduce the heat-conducting medium from the energy storage assembly 2 into the auxiliary heating assembly 3, providing a channel for the heat-conducting medium to enter the heating box 31 and receive secondary heating by the electric heating rod 36. The fifth pipe 312 transports the heated medium inside the heating box 31 to the terminal equipment, thereby releasing heat for heating.
[0030] Reference Figure 4 A flow meter 313 is fixedly installed in the middle of the outer surface of the fourth pipe 311 and the fifth pipe 312, and a thermometer 314 is fixedly installed in the middle of the outer surface of the fourth pipe 311 and the fifth pipe 312. The flow meter 313 displays the medium flow rate in real time to reflect the system circulation efficiency. The thermometer 314 measures the temperature of the medium inside the fourth pipe 311 to determine the residual heat of the energy storage assembly. When the thermometer 314 in the fourth pipe 311 detects that the temperature is too low, the thermometer 314 is electrically connected to the electric heating rod 36 and the temperature controller 37 to start the heating component for heating. After the heating component is started, the thermometer 314 simultaneously measures the temperature of the fifth pipe 312 to verify the heating effect.
[0031] Reference Figure 1 and Figure 2 A photovoltaic thermal integrated machine 12 is fixedly installed on the upper end of the front outer surface of the base 11, a battery cabinet 13 is fixedly installed in the middle of the upper surface of the base 11, and a photovoltaic inverter 14 is fixedly installed on the right outer surface of the battery cabinet 13. The photovoltaic thermal integrated machine 12 integrates solar panels and collectors, synchronously collects solar energy and converts it into electrical energy and thermal energy. The battery cabinet 13 contains a battery pack inside, which stores the electricity generated by the photovoltaic thermal integrated machine 12 to drive other electrical equipment to operate normally at night or on cloudy days. The photovoltaic inverter 14 contains an inverter and a controller inside. The inverter converts the DC power of the battery into AC power for use by other AC equipment. The controller has an integrated display screen that can display the system status in real time and support staff to manually adjust the system.
[0032] Reference Figure 1 、 Figure 2 、 Figure 3 and Figure 6 The interior of the energy storage assembly 2 includes a support frame 21, and a hot water storage tank 22 is fixedly installed on the upper surface of the support frame 21. The support frame 21 is used to bear the weight of the hot water storage tank 22 to prevent the hot water storage tank 22 from directly contacting the ground and causing rust. The interior of the hot water storage tank 22 can accommodate a heat-conducting medium, and the heat-conducting medium is water. The hot water storage tank 22 can absorb the heat generated by the photovoltaic thermal integrated machine.
[0033] Reference Figure 2 A first pipe 15 is fixedly installed between the photovoltaic thermal integrated machine 12 and the hot water storage tank 22, and a first water pump 16 is fixedly installed in the middle of the outer surface of the first pipe 15. A second pipe 17 is fixedly installed between the photovoltaic thermal integrated machine 12 and the hot water storage tank 22. The first pipe 15 is used to connect the outlet of the hot water storage tank 22 and the inlet of the photovoltaic thermal integrated machine 12, and transports the low-temperature medium in the water tank to the photovoltaic thermal integrated machine 12 for reheating. The first water pump 16 provides pumping power to overcome the pipe resistance between the photovoltaic thermal integrated machine 12 and the hot water storage tank 22, ensuring that the energy storage component can absorb heat and circulate normally. The second pipe 17 connects the outlet of the photovoltaic thermal integrated machine 12 and the inlet of the hot water storage tank 22, and transports the high-temperature medium after photothermal conversion to the hot water storage tank 22 for storage.
[0034] Reference Figure 6 An inspection door 23 is provided on the upper surface of the hot water storage tank 22, and a ladder 24 is fixedly installed on the right outer surface of the hot water storage tank 22. The inspection door 23 provides a passage for personnel to enter the hot water storage tank 22, so that the staff can check whether there is scale accumulation inside the hot water storage tank 22. The ladder 24 allows personnel to climb to the top of the hot water storage tank 22 to reach the outside of the inspection door 23, thereby facilitating their maintenance of the interior of the hot water storage tank 22.
[0035] Reference Figure 6 A water replenishment valve 25 is fixedly installed on the upper surface of the hot water storage tank 22, and a drain valve 26 is fixedly installed on the right outer surface of the hot water storage tank 22. The outside of the water replenishment valve 25 is connected to the tap water pipe. When the water level in the system drops due to evaporation or leakage, the inside of the hot water storage tank 22 can be replenished with water. The drain valve 26 can be opened to discharge the medium in the water tank before maintenance or overhaul, which is convenient for thorough cleaning or repair.
[0036] Reference Figure 2 and Figure 3A third pipe 27 is fixedly installed on the outer surface of the rear side of the hot water storage tank 22, and a second water pump 28 is fixedly installed in the middle of the third pipe 27. The third pipe 27 collects the low-temperature medium returning from the heating end and transports it to the hot water storage tank 22 for reheating. The third pipe 27 and the fifth pipe 312 form a closed loop to ensure the continuous flow of the medium. The second water pump 28 provides circulation power to overcome the pipe resistance and push the medium back to the energy storage assembly 2.
[0037] Working principle: When the light and heat energy is insufficient, the auxiliary heating assembly 3 supplements the heat energy for the heating water through its own components to ensure the heating effect. The heating box 31 serves as a heat exchange container, which is used to absorb the heat of the electric heating rod for the water flowing inside, and provides an installation position for accommodating other components of the auxiliary heating assembly 3. A combination of positioning grooves 32 and positioning plates 33 is adopted. The positioning grooves 32 and positioning plates 33 are quickly aligned through the card slot design to ensure that the heating component is vertically inserted into the heating box 31 to avoid local overheating caused by tilting, and the positioning grooves 32 and positioning plates 33 are fixed to the upper surface of the heating box 31 by bolts 34 to prevent loosening caused by vibration or water pressure shock, thereby improving the safety of the component. In addition, the heating component can be quickly replaced by removing the bolts 34, which speeds up the replacement when the heating component is damaged. The sealing ring 35 fills the gap between the positioning plate 33 and the heating box 31 to prevent hot water from leaking, and the sealing ring 35 is made of silicone rubber to prevent heat from being conducted to the outside and reducing the heating effect. The electric heating rod 36 serves as the main heating component. The main part is to convert electrical energy into thermal energy through heating by resistance wire, and start when the solar thermal energy storage is insufficient to maintain the heating water temperature. A plurality of electric heating rods 36 are set in the heating box 31 to increase the heating speed of the water flowing through the heating box 31, so that the heating water can reach the appropriate temperature as soon as possible. The thermostat 37 detects the water temperature in the heating box in real time through the built-in PT100 thermal resistor. When the water temperature is lower than the set value, it automatically connects the power supply and cuts off when it is higher than the set value to achieve constant temperature control while avoiding energy waste caused by continuous heating. The heater interface 38 provides conditions for connecting external power and signals, and supplies power to the electric heating rod 36 and the thermostat 37 to ensure their normal use. By installing auxiliary heating components at the heating water supply of the device, the purpose of heating the hot water on demand before it is delivered to the terminal can be met during continuous rainy days and extremely low temperature weather. The heating component can be started and stopped on demand by monitoring the temperature to avoid energy loss from repeated heating of the stored water, so that the device can supplement heat when solar thermal heat collection is insufficient to ensure heating stability.
[0038] It should be noted that, in this document, relational terms such as first and second, etc., are used only to distinguish one entity or operation from another entity or operation, and do not necessarily require or imply the existence of any such actual relationship or order between these entities or operations. Moreover, the terms "comprises," "comprising," or any other variants thereof are intended to cover non-exclusive inclusion, so that a process, method, article, or device comprising a series of elements includes not only those elements, but also other elements not explicitly listed, or elements inherent to such process, method, article, or device. In the absence of further limitations, an element defined by the phrase "comprising a ..." does not exclude the presence of other identical elements in the process, method, article, or device comprising the element.
[0039] The above embodiments are only used to illustrate the technical solutions of the present invention, rather than to limit the same. Although the present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that they can still modify the technical solutions described in the aforementioned embodiments, or make equivalent replacements for some of the technical features therein. However, these modifications or replacements do not deviate the essence of the corresponding technical solutions from the spirit and scope of the technical solutions of the various embodiments of the present invention.
Claims
1. A photovoltaic thermal energy storage heating system, comprising a photovoltaic thermal assembly (1), an energy storage assembly (2), and an auxiliary heating assembly (3), characterized in that: The photovoltaic thermal assembly (1) includes a base (11) inside, and the auxiliary heating assembly (3) includes a heating box (31) inside. The upper surface of the heating box (31) is provided with a plurality of positioning grooves (32), and the outer surface of the positioning groove (32) is fitted with a positioning plate (33), and the positioning groove (32) and the internal thread of the positioning plate (33) are fitted with bolts (34), and the lower surface of the positioning plate (33) is fixedly installed with a sealing ring (35), and the lower surface of the sealing ring (35) is fixedly installed with an electric heating rod (36), and the upper surface of the positioning plate (33) is fixedly installed with a thermostat (37), and the upper surface of the thermostat (37) is provided with a heater interface (38).
2. The photovoltaic thermal energy storage heating system according to claim 1, characterized in that: Circuit installation grooves (39) are fixedly installed around the upper surface of the heating box (31), and a plurality of heater connectors (310) are fixedly installed inside the circuit installation grooves (39).
3. The photovoltaic thermal energy storage heating system according to claim 1, characterized in that: A fourth pipe (311) is fixedly mounted on the right outer surface of the heating box (31), and a fifth pipe (312) is fixedly mounted on the left outer surface of the heating box (31).
4. The photovoltaic thermal energy storage heating system according to claim 3, characterized in that: A flow meter (313) is fixedly installed in the middle of the outer surfaces of the fourth pipe (311) and the fifth pipe (312), and a thermometer (314) is fixedly installed in the middle of the outer surfaces of the fourth pipe (311) and the fifth pipe (312).
5. The photovoltaic thermal energy storage heating system according to claim 1, characterized in that: A photovoltaic and thermal integrated machine (12) is fixedly mounted on the upper end of the front outer surface of the base (11), a battery cabinet (13) is fixedly mounted in the middle of the upper surface of the base (11), and a photovoltaic inverter integrated machine (14) is fixedly mounted on the right outer surface of the battery cabinet (13).
6. The photovoltaic thermal energy storage heating system according to claim 1, characterized in that: The energy storage assembly (2) includes a support frame (21) inside, and a hot water storage tank (22) is fixedly mounted on the upper surface of the support frame (21).
7. The photovoltaic thermal energy storage heating system according to claim 5, characterized in that: A first pipe (15) is fixedly installed between the photovoltaic and thermal integrated machine (12) and the hot water storage tank (22); a first water pump (16) is fixedly installed in the middle of the outer surface of the first pipe (15); and a second pipe (17) is fixedly installed between the photovoltaic and thermal integrated machine (12) and the hot water storage tank (22).
8. The photovoltaic thermal energy storage heating system according to claim 6, characterized in that: An inspection door (23) is provided on the upper surface of the hot water storage tank (22), and a ladder (24) is fixedly installed on the right outer surface of the hot water storage tank (22).
9. The photovoltaic thermal energy storage heating system according to claim 6, characterized in that: A water supply valve (25) is fixedly mounted on the upper surface of the hot water storage tank (22), and a water discharge valve (26) is fixedly mounted on the right outer surface of the hot water storage tank (22).
10. The photovoltaic thermal energy storage heating system according to claim 6, characterized in that: A third pipe (27) is fixedly installed on the rear outer surface of the hot water storage tank (22), and a second water pump (28) is fixedly installed in the middle of the third pipe (27).