Indirect liftoff mechanism for high-throughput, single-source laser scribing for perovskite solar modules
12237432 ยท 2025-02-25
Assignee
Inventors
Cpc classification
B23K26/40
PERFORMING OPERATIONS; TRANSPORTING
H10F19/33
ELECTRICITY
B23K2103/172
PERFORMING OPERATIONS; TRANSPORTING
International classification
H10F19/33
ELECTRICITY
B23K26/06
PERFORMING OPERATIONS; TRANSPORTING
B23K26/40
PERFORMING OPERATIONS; TRANSPORTING
H10F19/90
ELECTRICITY
Abstract
A vertically selective liftoff scribing process is provided. One application is the fabrication of solar cells and solar modules. The basis of this technology is absorption of an indirectly focused laser beam in the front electrode material of the device, which enables removal of this layer (e.g., a P1 scribe) or removal of layers above the front electrode while leaving the front electrode intact (e.g., a P2 or P3 scribe). The laser fluence can be selected to choose between these alternatives, and further fine tuning is possible depending on details of the device structure.
Claims
1. A method for scribing an electrical or optoelectronic device, the method comprising: depositing a transparent conductive oxide (TCO) layer on a transparent substrate; depositing one or more active device layers on top of the TCO layer to make a multilayer stack; and lifting off at least one layer of the multilayer stack in a liftoff pattern with a vertically selective liftoff; wherein the liftoff pattern is defined by passing a laser beam through the substrate to be absorbed in the TCO layer and scanning a position of the laser beam such that material at or above illuminated parts of the TCO layer is lifted off; wherein the vertically selective liftoff entails removal of a selected layer of the multilayer stack and all layers in the multilayer stack above the selected layer; wherein the selected layer of the multilayer stack is determined by one or more processing parameters of the vertically selective liftoff.
2. The method of claim 1, wherein a fluence of the laser beam in operation is between 0.2 and 1.5 J/mm.sup.2 with a pulse duration between 0.1 and 500 ?s.
3. The method of claim 1, wherein the TCO layer in the liftoff pattern remain intact after the vertically selective liftoff.
4. The method of claim 1, wherein the multilayer stack includes two or more active device layers, and wherein the selected layer of the multilayer stack is one of the two or more active device layers in the multilayer stack.
5. The method of claim 1, wherein a laser source for the laser beam is a fixed-wavelength fiber laser.
6. The method of claim 1, wherein a scanning speed of the laser beam is at least 100 m/minute.
7. The method of claim 1, wherein the TCO is selected from the group consisting of: indium tin oxide, fluorine-doped tin oxide, aluminum-doped zinc oxide, and transparent oxides that absorb at 1064 nm.
8. The method of claim 1, wherein the one or more active device layers are selected from the group consisting of: dense metal oxides, polymer layers, organic layers, perovskites, hybrid organic-inorganic perovskites, and metal layers.
9. The method of claim 1, wherein the one or more active device layers can each individually be amorphous or crystalline.
10. The method of claim 1, wherein the one or more active device layers each have a corresponding thickness between 10 nm and 1000 nm.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
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DETAILED DESCRIPTION
(19) Section A describes general principles relating to embodiments of the invention. Section B describes a detailed experimental investigation of principles relating to embodiments of the invention.
A) General Principles
(20) An exemplary embodiment of the invention is a method for scribing an electrical or optoelectronic device, the method comprising:
(21) 1) depositing a transparent conductive oxide (TCO) layer on a transparent substrate;
(22) 2) depositing one or more active device layers on top of the TCO layer to make a multilayer stack; and
(23) 3) lifting off at least one layer of the multilayer stack in a liftoff pattern with a vertically selective liftoff.
(24) Here the liftoff pattern is defined by passing a laser beam through the substrate to be absorbed in the TCO layer and scanning a position of the laser beam such that material at or above illuminated parts of the TCO layer is lifted off. The vertically selective liftoff entails removal of a selected layer of the multilayer stack and all layers in the multilayer stack above the selected layer, and the selected layer of the multilayer stack is determined by one or more processing parameters of the vertically selective liftoff. For example, laser fluence may be used to determine the selected layer, in sharp contrast to the conventional use of laser wavelength to determine which layers are removed in a scribe.
(25) The fluence of the laser beam in operation can be between 0.2 and 1.5 J/mm.sup.2 with a pulse duration between 0.1 and 500 ?s.
(26) The TCO layer in the liftoff pattern can remain intact after the vertically selective liftoff (e.g., P2 and P3 scribes as described below). Alternatively, the TCO layer can be removed (e.g., as in the P1 scribe described below).
(27) The multilayer stack can includes two or more active device layers, where the selected layer of the multilayer stack is one of the two or more active device layers in the multilayer stack. See
(28) A laser source for the laser beam can be a fixed-wavelength fiber laser.
(29) The scanning speed of the laser beam is preferably at least 100 m/minute.
(30) Practice of the invention does not depend critically on the TCO composition. Suitable TCOs include, but are not limited to: indium tin oxide, fluorine-doped tin oxide, aluminum-doped zinc oxide, and transparent oxides that absorb at 1064 nm.
(31) Practice of the invention also does not depend critically on the composition of the active layer(s). Exemplary active layers include, but are not limited to: dense metal oxides, polymer layers, organic layers, perovskites, hybrid organic-inorganic perovskites, and metal layers. Any active layer can be crystalline or amorphous, and a multi-layer stack of active layers can have any combination of crystalline and amorphous layers in it, subject to fabrication limits resulting from the deposition method(s) employed. Typical active layer thicknesses are between 10 nm and 1000 nm.
B) Detailed Examples
B1) Introduction
(32) The performance improvements of hybrid organometallic lead-halide perovskite solar cells combined with low-cost and high-throughput solution processing enables perovskite modules to compete with state-of-the-art silicon solar technology while reducing equipment and manufacturing costs. Open-air, scalable deposition methods such as slot-die, blade, and spray coating have particular cost and throughput advantages over vacuum-based deposition. For monolithically integrated module designs involving serially interconnected perovskite solar cells, scalable, high-throughput, and low-cost methods to produce electrically isolated cells with low resistivity interconnections are essential. The incorporation of serially interconnected cell designs subdivide the total device area into multiple sub-cells connected in series, reducing the overall current output and shortening the length of current travel through the front electrode, thus reducing resistive power losses across the entire device.
(33) The monolithic integration of serially interconnected cells can be achieved using patterned deposition methods such as masked depositions and printing of individual cells or by forming individual cells from blanket films using mechanical and/or laser-based scribing procedures. Progress towards achieving cells with minimal power losses have focused primarily on laser-based scribing methods, providing superior interconnection alignment and fidelity over masked and printed designs for optimally efficient use of the substrate towards power conversion while demonstrating superior electronic properties over their mechanical alternative.
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(36) While the wide variety of laser processing conditions enables the optimization of many scribing procedures, standard processes for achieving high-performing scribed module interconnections have yet to be developed. Furthermore, a frequent need for multiple unique laser sources increases manufacturing costs and complexity, and the lack of consistency of laser type, wavelength, power, speed, and pulse duration has hindered efforts towards improved scalability and module performance, while dependence on selective laser absorption in selected cell layers for the different scribes can result in thermal damage to the cell. Reported laser-scribing methods for perovskite modules including their linear scribing speed and laser source are listed in the table of
(37) A low-cost, single-source indirect method involving absorption in only one cell layer to achieve all three scribes would offer an attractive pathway towards simplicity, high speed, and low cost. Here, we demonstrate a unique single-source, high-throughput and low-cost laser scribing mechanism that focuses exclusively on interactions with the front TCO electrode material for performing the P1, P2, and P3 scribes, avoiding ablation and potential heat-related damage of the perovskite layer through a liftoff mechanism analogous to many P3 scribes. The TCO-based liftoff mechanism demonstrated enables implementation across a variety of perovskite and thin-film module architectures. These scribes provide low resistance contacts, sufficient electrical isolation of the front and rear electrodes, and excellent module performance with respect to individual cells despite an increase in active areas of the overall devices. The electrode isolation, interconnection quality, and alignment are characterized as a function of laser operating conditions to optimize a P1-P2-P3 laser scribing method for superior throughput and enhanced module performance. Cost modeling containing an analysis of module throughput and comparisons to conventional laser scribing highlights the commercial benefits for scalable manufacturing.
(38) B1.1) Laser Scribing Mechanisms
(39) The traditional development of scribing processes for thin-film photovoltaics involved selective ablation of different layers for the demonstration of each scribe, utilizing unique laser wavelengths for each step. Given the unique absorption characteristics of each layer, such was a logical a pathway towards achieving successful scribes. However, looking towards commercialization, simplification of the process steps would suggest reducing the number of requisite laser sources while also focusing on industrially relevant and prevalent systems supported in large-scale manufacturing.
(40) For the completion of the P1, P2, and P3 laser scribes, various methods have been demonstrated using different laser sources, powers, frequencies, and orientations. Though the overall P1-P3 architecture is considered standard, several key scribing elements are rarely referenced, such as the scribing orientation.
(41) In addition to direct and indirect orientations, the material removal mechanism must be carefully and accurately identified. Laser scribing mechanisms typically involve the active ablation of at least one layer within the device, and each scribe involves the removal of a unique set of layers; however, the ablated layer is not always the target layer for that scribe. In most P1 scribes, the front electrode material is ablated to form the P1, thus this is considered an ablative scribe. In many P3 scribes, however, the perovskite absorber material is often targeted as the ablated layer despite the P3 only necessitating the removal of the rear electrode material. Thus, this type of P3 scribe is referred to as a liftoff scribe wherein the specific layer associated with the scribe is lifted off due to the ablation response of an underlying, unrelated layer. The distinction between ablative and liftoff scribes is important for understanding the unique achievements of the scribing mechanism developed in this work.
(42) Thus far, many scribing procedures have incorporated a liftoff P3 mechanism, utilizing a similar procedure as an ablative P2 to focus the ablation on the perovskite absorber material, in this case with the goal of removing the rear electrode as well. Extending this scribing simplification another step, we utilized the liftoff scribing mechanism for the P2 scribe as well, involving the ablation response of only a single layerthe front transparent electrodeto drive the entire P1-P2-P3 scribing process, enabling the use of a single-wavelength, single-mechanism scribing procedure for the full module.
B2) Results and Discussion
(43) Serially interconnected perovskite solar modules were developed following the process flow outlined in
(44) B2.1) Indirect Liftoff Scribing Mechanisms
(45) The basis of the indirect liftoff mechanism employed across the entire perovskite module requires a laser system exclusively tuned to the ablation behavior of the bottom layer in the device stack: the ITO front electrode. A ?s-pulsed Nd:YVO.sub.4 fiber laser (1064 nm wavelength) is employed due to the ablative response in the ITO front electrode material while ignoring adjacent device layers including the substrate glass and perovskite layers. For P1 scribe ITO ablation, Nd:YVO.sub.4 fiber lasers have been widely employed for sufficient electrical disconnection in the front electrode material across a range of industries, the ease of which has been demonstrated across a range of input laser powers. The ?s-pulsed Nd:YVO.sub.4 fiber laser (1064 nm wavelength) is used to perform ablative P1 scribes and is extended to perform indirect liftoff P2 and P3 scribes, targeting the front TCO exclusively. However, unlike with the common liftoff P3 mechanism, where the underlying perovskite is ablated and removed as part of the process despite not being an essential device feature, the liftoff P2 and P3 scribes utilizing front electrode ablation require that the front electrode material remain intact to allow for the successful series interconnection between adjacent cells, demonstrated in the continuous ITO front electrode film extending from the dead area into the right cell of
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(47) To adapt the liftoff mechanism such that removal of the front electrode material is mitigated or avoided, an indirect scribing orientation was first adopted. While direct scribing of the ITO front electrode with a fiber laser carved into the film, creating a much narrower current pathway, indirect scribing utilized the full thickness of the cohesive ITO layer to prevent what would otherwise lead to removal of the ITO at the ITO/Glass interface. The result is a disruption of the ITO layer without material removal, demonstrated by the solid line in
(48) The ablation impulse is tuned via the input laser fluence to target the removal of the topmost layer(s) of the device stack, providing considerable material selectivity. In the case of the P2 scribe, increasing the laser fluence until material removal is observed first removes exclusively the perovskite layer, maintaining both the ITO and NiO.sub.x layers underneath (
(49) For the purposes of highlighting the unique character of the TCO-based liftoff method, specifically for P2 scribe application, the characteristics and performance of indirect liftoff scribes were compared to the most adopted P2 method: direct perovskite ablation, in this case utilizing a CO.sub.2 laser (10.6 ?m wavelength). This contrasting laser source was chosen due to opposing scribing behavior compared to the fiber laser: the fiber laser preferentially scribes through the ITO front electrode without affecting the perovskite, and the CO.sub.2 laser only scribes through the perovskite layer without impacting the underlying ITO. The two scribing mechanisms are visually compared in
(50) Additional characterization of the SEM-EDS scans of the direct perovskite ablation and TCO-based liftoff methods analyzed the intensity across each scribe for both iodine and indium signals, representing the perovskite and underlying ITO, respectively (
(51) B2.2) Electrical Characterization of Indirect Scribes
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(53) To evaluate the electrical performance of the direct ablation and indirect liftoff scribes, resistive tests were used following the transmission line model (TLM) for the evaluation of contact resistance. This model, illustrated in
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where the total resistance, R.sub.TOT, is evaluated as a function of the resistances from the metal contacts R.sub.M, the contact resistance between the metal and ITO front electrode within the P2 scribes R.sub.C, and the sheet resistance of the ITO front electrode R.sub.SH, whose influence depends on the contact separation, d, and scribe length, w. Relative to the ITO sheet resistance and contact resistance, the metal resistance is negligible, thus the total resistance is a linear function of the contact separation, d, with a y-intercept at 2R.sub.C.
(55) Further analysis of the contact resistance utilized the following formula:
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where the contact resistance depends on the contact resistivity, ?.sub.C, scribe length, w, scribe width, l, and transfer length, l.sub.T. The transfer length refers to the effective scribe width, a result of the semiconducting ITO substrate, though this value is sufficiently large with these scribing mechanisms relative to the scribe width, l, such that Equation 2 was further simplified as shown.
(57) The resulting contact resistances for both the direct ablation P2 scribes and indirect liftoff P2 scribes are shown in the plot in
(58) B2.3) Module Assembly with Indirect Liftoff Scribes
(59) Complete evaluation of the TCO-based liftoff scribing mechanism required analyzing the performance of the resulting indirect liftoff P2 scribes within the context of a serially interconnected module. To isolate the performances of the indirect liftoff and direct ablative P2 scribes, indirect ablative P1 scribes demonstrated previously, alongside P3s using masked evaporation (
(60) Following the development of the indirect fiber P2 scribe, the same TCO-based liftoff mechanism was slightly altered for compatibility with the P3 scribe in the presence of a rear silver metal electrode. Due to the reflections from the rear metal electrode, the laser fluence for the P3 was lowered to avoid ablation of the ITO front electrode, still resulting in enough of an ablation impulse to remove a continuous line of material for the P3. To ensure high quality P3 performance, a series of tests were performed to evaluate the degree of electrical isolation while monitoring for any potential shunting behavior or ablated ITO. Resistances of several M? across the P3 scribe ensured sufficient electrical isolation while scribed half-cell architectures and adapted contact resistance tests demonstrated no shunting behavior and no measurable ITO ablation, respectively.
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(62) With the TCO-based indirect liftoff mechanism adapted for the P3 scribe, an all-indirect-fiber module procedure was assembled using an indirect ablation P1, indirect liftoff P2, and indirect liftoff P3 with the same ?s-pulsed Nd:YVO.sub.4 fiber laser scribing system. The combined dead width for this scribing architecture was 300 ?m, which yields a 91% geometric fill factor (GFF) for the 4-cell module architecture with an active area of 0.88 cm.sup.2 (
(63) Additional implementation of the indirect liftoff scribes within a slightly different scalable architecture demonstrates the promise of such a method in the transition towards large-area perovskite modules. Rapid Spray Plasma Processed (RSPP) perovskite is used as a means of depositing large-area perovskite films, allowing for the demonstration of 6-, 17-, and 90-cell module configurations up to 27 cm.sup.2 in area. Despite a >10? increase in active area between these module configurations, the indirect liftoff scribes enabled remarkably similar performances of 15.5%, 15.2%, and 14.7% for the 6-, 17-, and 90-cell modules, respectively, with a slight drop in fill factor potentially a result of a non-homogeneous spin-coated hole transport layer affecting performance across the 10 cm long modules. These achievements in scalability suggest a reliable pathway towards further scaling up this technology for square-meter-scale perovskite modules.
(64) B2.4) Perovskite Module Manufacturing
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(66) In preparation for scaling perovskite module fabrication towards MW-scale manufacturing, optimized scribing architectures should be considered to improve GFF and ensure compatibility with high-throughput processing. To balance the GFF against resistive elements of the module, namely the front electrode resistance and P2 scribe contact resistance, the total loss function enables analysis of optimized cell widths dependent on the scribed dead width and module resistances. The total loss (TL) function is evaluated as:
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where the first term is the dead area portion of the device, the second term evaluates the losses from the front electrode resistance, and the final term incorporates the P2 scribe contact resistance, which can be further evaluated using the transmission line model. With a fixed contact resistance for the TCO-based liftoff mechanism R.sub.C, fixed front electrode resistance R.sub.SH and device current J.sub.MPP and voltage V.sub.MPP at the maximum power point, and fixed cell length, L, the total resistive and geometric losses TL can be evaluated as a function of the cell width, W.sub.A, while varying the scribed dead area, W.sub.D, resulting in the curves in
(68) Similar modeling was performed on device architectures incorporating metal gridlines to reduce the impact of the front electrode resistance as opposed to the monolithically integrated series interconnections. In addition to processing concerns related to gridlines deposited on the TCO/glass substrate, Total Loss modeling of architectures with gridlines both with and without monolithically integrated scribed series interconnections demonstrated no suitable benefit over the module architecture employed.
(69) When considering implementation of scribing mechanisms in a large-scale perovskite module manufacturing operation, the speed of operation becomes a significant element of production costs. Previous scribing reports have overwhelmingly involved speeds around 1-10 m min.sup.?1, with maximum speeds found under 100 m min.sup.?1 (
(70) The improvement in cost, however, is absent any consideration of the differences in capital equipment costs between laser scribing systems. When comparing the different laser sources commonly used for perovskite and thin-film solar module production, fiber laser systems make up a majority (42.3%) of all laser cutting, marking, engraving, and processing systems with CO.sub.2 lasers following in a distant second; meanwhile, DPSS and Excimer lasers combined fail to reach the market share of fiber laser systems alone. The vast prevalence of fiber laser systems throughout large-scale manufacturing and in a variety of applications offers the most promise for a manufacturing-scale scribing system for perovskite photovoltaics.
(71) Additionally, for scribing specific applications, the pulse duration is a carefully considered value with most publications opting for ultrashort laser pulses (?fs?ps durations) as opposed to more commonly available and affordable longer pulse duration (?ns??s durations) equipment. Despite the attractive performance results achieved with ultrashort laser pulses, capable of avoiding damage associated with heat affected zones (HAZ) in direct ablation scribes, equipment costs for these systems are typically an order of magnitude greater than the longer pulse duration counterparts (
(72) B2.5) Further Details
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B3) Conclusions
(79) This study introduced new laser scribing terminology to describe the successful development of a unique TCO-based indirect liftoff scribing mechanism utilizing a ?s-pulsed fiber laser operating at scribe speeds of 180 m min.sup.?1. The TCO-based liftoff mechanism avoided thermal damage to the perovskite layer associated with direct ablation mechanisms while enabling superior material removal and front electrode exposure in the P2 scribe, producing serially interconnected modules that maintain >98% of the initial performance of smaller scale devices and modules across various architectures despite 10? increases in active area and greater exposure to film nonuniformities. These indirect liftoff scribes are performed at speeds 2.5? faster than the next fastest scribing speeds published, utilizing the most industrially relevant laser system without costly ultrashort laser pulses, and demonstrating manufacturing-ready, high-throughput, and low-cost P1-P2-P3 scribing processes capable of supporting MW-scale perovskite and thin-film solar module production.
B4) Methods
(80) Precursor Preparation: Sprayable NiO.sub.x used a 20?10.sup.?3 m solution of Ni(NO.sub.3).sub.2 in deionized (DI) water. The double-cation mixed halide perovskite solution was prepared in an inert nitrogen glove box by dissolving PbI (0.378 g) (TCI), PbBr (0.103 g) (TCI), formamidinium iodide (0.157 g) (Sigma), and CsI (0.049 g) (Sigma) in a 4:1 by volume mixture of 4:1 N,N-dimethylformamide (DMF) and dimethylsulfoxide (DMSO) (1 mL). Anhydrous DMF and DMSO were obtained from Sigma Aldrich. The perovskite solution was heated at 60? C. and stirred for 1 h to dissolve the precursors and was used within one week of mixing.
(81) Perovskite Solar Cell Fabrication: ITO substrates (2 cm?2 cm, 5 cm?5 cm, and 10 cm?10 cm substrate areas, 10 ?sq.sup.?1, Xin Yan Technology, Ltd.) were cleaned by sequential sonication in an alkaline detergent (Extran), acetone, and isopropyl alcohol for 15 min each, followed by a 20 min UV-ozone treatment at 25 mW cm.sup.?2 (Jelight Model 42). NiO.sub.x was spray-deposited according to a recipe reported in the literature. The perovskite layer was deposited via spin coating in a glove box using the anti-solvent method. 20 ?L of perovskite precursor was spread on the substrate and spin coated in a two-step process with 12 s at 1000 rpm, followed by 30 s at 6000 rpm. With five seconds remaining in the second spin step, 80 ?L of Chlorobenzene (Sigma Aldrich) was quickly deposited on the spinning substrate before transferring the substrate to a hot plate at 100? C. to be annealed for 30 min. RSPP perovskite for the 6-, 17-, and 90-cell modules were prepared according to a procedure reported in the literature. The cells were completed by evaporating an electron-transporting layer consisting of a 40 nm layer of C.sub.60 followed by a 7.5 nm layer of bathocuproine (Sigma Aldrich) and a 150 nm thick Ag metal electrode.
(82) Perovskite Module Fabrication: Identical process steps from the cell fabrication methods were adopted for the module fabrication along with the introduction of three scribing steps. An Epilog fusion M2 laser (812 mm?508 mm) bed, dual 50 W source gantry laser system was used for both the CO.sub.2 (10.6 ?m wavelength) and fiber (Nd:YVO.sub.4 optical fiber, 1064 nm wavelength) scribes. Prior to cleaning the ITO substrates, the P1 was performed using the fiber laser at an indirect orientation, a speed of 300 cm s.sup.?1, and laser operating conditions of 35 W, 1.8 ?s pulse duration, and 0.28 MHz pulse frequency. Following the substrate cleaning and active layer depositions up through the bathocuproine, the CO.sub.2 direct P2s were performed in a direct orientation at a speed of 24 cm s.sup.?1 and laser operating conditions of 4 W, 44 ?s pulse width, and 11.34 kHz pulse frequency. The fiber lift-off P2s were performed in an indirect orientation at a speed of 300 cm s.sup.?1 and laser operating conditions of 21 W, 1.8 ?s pulse duration, and 0.28 MHz pulse frequency. Following the deposition of the Ag rear metal electrode, the P3 was performed using the fiber laser at an indirect orientation at a speed of 300 cm s.sup.?1 and laser operating conditions of 11 W, 1.8 ?s pulse duration, and 0.28 MHz pulse frequency.
(83) Contact Resistance Measurements: Contact Resistance measurements were performed on samples designed for the transmission line model (TLM) using the same procedures as in module preparation, only altering the scribe and masked Ag metal evaporation design. Measurements were made with a Keithley Model 2400 digital multimeter using the 2-probe ohmmeter setting. Resistance measurements were taken between neighboring contact pads at distances of 2, 3, 5, and 7 mm.
(84) Optoelectronic Characterization: The perovskite cells were measured in ambient conditions (?45% RH, 25? C.) under 1 sun, AM 1.5G illumination from a 300 W xenon lamp (Oriel PV) solar simulator. The lamp intensity was calibrated based on an NREL-calibrated KG5 filtered Si reference cell. J-V curves were collected with a Keithley Model 2400 digital multimeter measured between ?0.1 and 1.4 V for the control devices with an increment of 0.01 V and a delay of 0.1 s between points. For the spin-coated modules, the voltage ranged from ?0.1 and 4.8 V with an increment of 0.04 V and a delay of 0.1 s between points. For the RSPP modules, the voltage ranged from ?0.1 and 20 V with an increment of 0.2 V and a delay of 0.1 s between points.
(85) Technoeconomic Analysis: The cost-of-ownership model is derived from a bottom-up model that assumes the same p-i-n device architecture monolithically integrated with 1064 nm laser scribing for the P1, P2, and P3. Materials, tool pricing, and equipment/facilities were modeled with Californian labor and utility rates for each tool to produce module dimensions of 1.23 m width by 2 m length scribed into 200 subcells. Each of the scribing processes (P1, P2, and P3) was performed with a 12-laser-head engraving system and scribing was assumed along the length of the module. The costs were calculated within a system operating at a continuous production speed of 306 modules h.sup.?1 for a 1 TW production line.