The present disclosure relates generally to photovoltaic (PV) based solar cells, and particularly to the application of electric pulses to improve the power output of such solar cells.
Solar cells are devices that produce electricity when subjected to light. Light photons create electrons and holes in solar cells. Electrons and holes are swept to electrodes by the electric field of p-n junctions formed by a semiconductor material within the solar cells. Electrons in the valance band require energy equivalent to band gap of the semiconductor to conduct by jumping from a valence band to a conduction band. Electrons in the conduction band contribute to the electricity generated by solar cells.
High energy photons can generate “hot” electrons which give up their energy in the form of heat and often do not contribute to electricity produced by the solar cell. Electrons which absorb high energy photons can become highly energetic or “hot carriers” and collide with a lattice site of the semiconductor material and lose energy.
Solar cells made of higher band gap semiconductor can absorb more photons and generates more electricity.
According to embodiments, a band gap of a semiconductor material within a photovoltaic (PV) solar cell can be modified by application of electric pulses. Such modification can produce more electricity in response to received light.
According to embodiments, application of electric pulses to a PV semiconductor material can provide a way to extract highly energetic or “hot” carriers resulting from incident light. For example, highly energetic electric pulses can force the hot electrons to be collected by the electrode instead of losing their energy to a lattice site.
According to embodiments, high frequency and high energy electric pulses can alter the band gap of semiconductor temporarily and dynamically.
According to embodiments, pulses of several kilowatts, or more, of power can be applied to a semiconductor based solar cell to alter its behavior by altering the band gap of the semiconductor material. An altered band gap semiconductor can absorb an altered number of photons of light and therefore produce different energy as compared to the semiconductor material alone.
According to embodiments, high frequency electric pulses applied to a PV solar cell semiconductor material can carry large amounts of power per pulse. For example, a pulse can be about 30 V, 2 A and 1 MHz, for a pulse that carries about 60 megawatts per pulse.
According to embodiments, high frequency electric pulses can be generated from a stack of pyroelectric thin films.
According to embodiments, pyroelectric films coated on a transparent substrate (e.g., glass) can produce high frequency electric pulses upon being subjected to bias voltage from the solar cell. In particular embodiments, pulse shaping circuits and a timing device can be used to shape the electric pulses. In very particular embodiments, a timer and relay can be employed. In some embodiments, pulse shaping capacitors and pyroelectric thin films coated on glass can be electrically connected in parallel.
The embodiments disclosed are shown by way of example and not limitation in the described figures. In the described figures, like reference indicate similar elements.
Embodiments disclosed herein show systems and methods in which a band gap of a semiconductor within a photovoltaic (PV) solar cell is modified using electric pulses. Such modification can produce more electricity from the solar cell as compared to its operation with an unmodified band gap. In some embodiments, high energy electric pulses applied to a solar cell can enable the extraction of highly energetic (e.g., hot carrier) electrons (or holes) that might otherwise be lost (e.g., by collisions within the crystal lattice of the semiconductor).
A pulse generator 104 can generate electric pulses 106 that are applied to the semiconductor material of PV solar cell 102 to thereby alter the band gap (ΔBG) of the semiconductor material(s). It is understood that the symbol for the electric pulses 106 is representational, and not intended to imply any particular pulse shape. Pulse shape, frequency and magnitude can vary according to various factors, including materials used, desired output power, and operating conditions, to name a few.
According to some embodiments, electric pulses 106 applied to PV solar cell 102 can be high frequency and high energy pulses. A high frequency pulse can be a pulse greater than 100 kHz, in some embodiments greater than 500 kHz, and in particular embodiments about 1 MHz A high energy pulse can provide no less than 500 Watts, in some embodiments, no less than a kilowatt (kW), and in particular embodiments no less than a few kW.
In response to the application of electric pulses 106 to the semiconductor material(s) within the PV solar cell 102, a band gap of such semiconductor material(s) can be modified. Consequently, the PV solar cell 102 can generate electron/holes from photons having a different energy (as compared to when pulses are not applied). In addition or alternatively, a modification of the semiconductor material(s) band gap can enable the absorption of high energy or “hot” carriers by the PV solar cell 102 (i.e., such hot carriers contribute to the current generated). In this way, the power 108 generated by the PV solar cell 102 can be increased or otherwise modified.
According to some embodiments, electric pulses applied to a PV solar cell can be generated by the use of one or more pyroelectric materials. Pyroelectric materials can generate electric energy (e.g., temporary voltage) when they are subjected to a change in temperature (e.g., heated or cooled). However, in addition, when an electric field is applied to a pyroelectric material, a temperature gradient can be produced (i.e., a reverse pyroelectric effect). In particular embodiments, a temperature gradient in one pyroelectric material produces an electric field, and such an electric field can be used to polarize a second pyroelectric material. The second pyroelectric material can be discharged, and then the process can repeat itself.
Such operations can create an oscillating electric field (i.e., electric pulses). Such pulses can be conditioned (e.g., shaped, grouped, amplified, reduced, or modulated) before being applied to a PV solar panel.
A PV solar cell 202 can operate in a fashion like 102 of
A pyroelectric based pulse generator 204 can generate pulses based on one or more pyroelectric materials. As noted above, in some embodiments, different pyroelectric materials can be used in combination, along with an applied voltage source to generate an oscillating signal from such pyroelectric materials. In the embodiment shown, output 208 of PV solar cell 202 can be applied to pyroelectric material(s) within the pulse generator 204 to polarize the material. While embodiments can include multiple pyroelectric materials, a pyroelectric based pulse generator 204 could include one such material operating in combination with other materials or circuits to generate a pulse.
A pulse shaping circuit 312 can shape initial electric pulses 316 and feed them back to the pyroelectric material(s) section 310. In this way, electric pulses can be generated having a desired duration and/or magnitude and/or polarity. While the embodiment of
A timing circuit 314 can alter or otherwise control pulses 316 output from pyroelectric material(s) section 310, to generate input electric pulses 306 for application to semiconductor material(s) within a PV solar cell (e.g., to thereby alter the band gap of such materials).
The pulse generator of
Accordingly, in some embodiments, while a PV solar cell operates in response to photons received from sunlight, pyroelectric materials 410 can operate in a pyroelectric fashion in response to heat from the sunlight, as well as be polarized upon being subjected to an electric field (i.e., a “reverse” pyroelectric effect). The generated pulses can be applied to a PV solar cell to vary the band gap of its materials.
According to well understood techniques, an inverter provided at connections 524(+) and 524(−) can generate an AC current/voltage an output of PV solar cell (in this case via pulse shaping circuits (516-0 and 516-1)).
Pulse shaping circuits (516-0 and 516-1) can provide frequency modulation to electric pulses created by pyroelectric materials (518-0 and 518-1). A controller 522 can enable modification of the electric pulses generated by the pulse shaping circuits (516-0 and 516-1), including but not limited to, modifying pulse shape, height (i.e., magnitude), width (i.e., duration), and time between consecutive pulses that are used to modulate the pulses provided by pyroelectric materials (518-0 and 518-1). In a particular embodiment, one pulse shaping circuit (e.g., 516-0) modulates electric pulses going into the PV solar cell while the other (e.g., 516-1) modulates electric pulses coming out of the PV solar cell.
In embodiments described herein, the generation of electric pulses from one or more pyroelectric materials can be according to any suitable method. One very particular embodiment for extracting electric pulses is shown in
Pyroelectric materials (618-0 to 618-3) can be pyroelectric layers formed on a substrate. In such an arrangement, pyroelectric layers 618-0 and 618-1 can be top layers, while pyroelectric layers 618-2 and 618-3 can be bottom layers. That is, the pyroelectric layers (618-0 to 618-3) can be formed on a substrate (e.g., glass), but top pyroelectric layers (618-0 and 618-1) can be formed over bottom pyroelectric layers (618-2 and 618-3).
In general, subsystem 610 relies on a pair of pyroelectric layers (e.g., 618-1/2). A first pyroelectric layer can be polarized when subject to heat and/or induction from another layer. The electric layer field produced in the first pyroelectric layer can be used to reduce the electric field from a second pyroelectric layer. The first pyroelectric layer can then be discharged, to create an electric pulse, for example. Subsequently, the second pyroelectric layer can then be polarized when subject to heat and/or induction from another layer. The electric layer field produced in the second pyroelectric layer can be used to reduce the electric field in the first pyroelectric layer. The second pyroelectric layer can then be discharged, to create an electric pulse, for example. These processes can then repeat.
As noted above, according to some embodiments, the application of electric pulses to a semiconductor within a PV solar cell can enable the capture of hot carriers that would otherwise be lost.
Having described the absorption of hot carriers according to an embodiment, various aspects of hot carriers will now be discussed. A semiconductor material of a PV solar cell can have a band gap given by Eg. An incident photon can have an energy of Eph=hυ=hc/λ; where h=Planck's constant, υ=frequency of light, c=the speed of light, and λ=wavelength of the light. If Eph>Eg, an electron-hole pair can be generated in the semiconductor material. The kinetic energy of the electron (of mass me and velocity ve) can be given by,
½meve2=(hv−Eg)
which can yield an electron velocity (ve) of
An electron can lose excess energy by collisions with a lattice to generate lattice vibrations (thermalization). An average energy of an electron after thermalization can be given by Eg+3kT/2, where k is the Boltzmann constant and T temperature. Thus, energy lost by an electron due to thermalization can be given as:
ΔE=hv−(Eg+3/2kT)
From this, the average power lost due to heat in a conventional PV solar cell can be:
where PL is the power of the incident light.
As a particular example, silicon can have a band gap of 1.12 eV and red light from the solar spectrum can have λ=650 nm. In such an arrangement the average energy of electrons after thermalization can be:
E
avg=(Eg+3kT/2)=1.12 eV+(3/2)(0.0259)eV=1.16 eV
The energy of an incident photon can be
and the energy lost be each incident electron can be
ΔE=hv−(Eg+3/2kT)=1.91eV−1.16 eV=0.75 eV
and given an average power PL=1.35 kW/m2, the average dissipated power can be
P
H=((1.35 kW/m2)/1.91 eV)*(0.75 eV)=0.53 kW/m2.
As shown above, in a PV solar cell semiconductor material, excess energy (i.e., energy beyond the band gap) can be lost as phonons in lattice collisions. However, appropriate phonons can be used to increase the life of hot carriers, to enable the capture of more hot carriers. In an indirect band gap semiconductor, such as silicon, phonons can be involved in band to band transitions of an electron. This is shown in
From the above, it is understood that a semiconductor material can be conceptualized as including both an electronic band gap as well as a “phonon band gap”. The electronic band gap arises from interaction between periodic electrostatic forces within a lattice. At the same time, a phonon band gap can also exist within a semiconductor material due to mechanical movement within lattice sites.
According to embodiments, the thermalization of carriers can be slowed by application of electric pulses. By way of example, a lattice (e.g., silicon lattice) can have a lattice constant given by a0. Thus, the maximum distance travelled by a photon generated carrier (e.g., electron) can be a0. A travel time of a carrier with a velocity ve before it reaches a lattice site can be given by
where me is the mass of the carrier. Using the above relationship, assuming a silicon lattice (a0=5.43×10−10 m, Eg=1.12 eV) and red light (λ=6×10−7 m), a carrier travel time will be tH=1.03 femtoseconds (fs).
While embodiments herein have disclosed particular semiconductor materials and electric pulse generating methods and circuits, such particular embodiments should not be construed as limiting. Alternate embodiments can include different materials and/or any suitable electric pulse duration, amplitude, waveshape, etc.
It should be appreciated that reference throughout this description to “one embodiment” or “an embodiment” means that a particular feature, structure or characteristic described in connection with the embodiment is included in at least one embodiment of an invention. Therefore, it is emphasized and should be appreciated that two or more references to “an embodiment” or “one embodiment” or “an alternative embodiment” in various portions of this specification are not necessarily all referring to the same embodiment. Furthermore, the particular features, structures or characteristics may be combined as suitable in one or more embodiments of the invention.
It is also understood that other embodiments of this invention may be practiced in the absence of an element/step not specifically disclosed herein. Further, while embodiments can disclose actions/operations in a particular order, alternate embodiments may perform such actions/operations in a different order.
Similarly, it should be appreciated that in the foregoing description of exemplary embodiments of the invention, various features of the invention are sometimes grouped together in a single embodiment, figure, or description thereof for the purpose of streamlining the disclosure aiding in the understanding of one or more of the various inventive aspects. This method of disclosure, however, is not to be interpreted as reflecting an intention that the claims require more features than are expressly recited in each claim. Rather, inventive aspects lie in less than all features of a single foregoing disclosed embodiment. Thus, the claims following the detailed description are hereby expressly incorporated into this detailed description, with each claim standing on its own as a separate embodiment of this invention.
This application claims the benefit of U.S. provisional patent application Ser. No. 61/891,899, filed on Oct. 17, 2013, the contents of which are incorporated by reference herein.
Number | Date | Country | |
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61891899 | Oct 2013 | US |