Analysis of Different Series-Parallel Connection Modules for Dye-Sensitized Solar Cell by Electrochemical Impedance Spectroscopy

1Department of Electronic Engineering, National Yunlin University of Science and Technology, Douliou, Yunlin 64002, Taiwan 2Graduate School of Electronic Engineering, National Yunlin University of Science and Technology, Douliou, Yunlin 64002, Taiwan 3Department of Information Management, TransWorld University, Yunlin 64063, Taiwan 4Graduate School of Chemical and Materials Engineering, National Yunlin University of Science and Technology, Douliou, Yunlin 64002, Taiwan


Introduction
Solar energy has become attractive as a promising solution for reducing emissions of greenhouse gases and providing clean energy.For these reasons, the dye-sensitized solar cell (DSSC) has been widely investigated owing to its simple fabrication, low cost, and promising properties [1][2][3].Figure 1 displayed working principle diagram of the DSSC.(1) The electrons are injected from the photoexcited dye into titanium dioxide (TiO 2 ) layer when light illuminates the cell; (2) the electrons pass through from TiO 2 /dye to the transparent conducting oxide and transport into the external circuit; (3) the sensitizer is regenerated by the electrolyte; (4) the electrolyte is regenerated by counter electrode; (5) excited-state decays to ground state; (6) recombination of the injected electrons with the oxidized dye; (7) recombination of the injected electrons with triiodide ions [1].
In order to enhance the photoelectric conversion efficiency () of DSSC, addition of graphene into the P25 TiO 2 film enhances the electron transport ability of the photoelectrode [4][5][6].Graphene, the 2D carbon nanomaterial, causes widespread concern nowadays, which has drawn extensive attention because it has a high thermal conductivity (about 5000 W/mK), perfect mobility of charge that carries at room temperature (more than 200,000 cm 2 /Vs), and high specific surface area (about reached 2630 m 2 /g).Graphenebased hybrid nanomaterials have been widely applied in the photovoltaic devices, photocatalysts, and lithium-ion batteries.Herein, we incorporate the 2D graphene into TiO 2 photoelectrode for the improvement of the photovoltaic performances of DSSC [7][8][9][10][11][12][13].
In this study, we investigate the effects of different seriesparallel connection modules on DSSCs.If the DSSC module uses only series connections and no parallel connections, 2 International Journal of Photoenergy (1) (2) which can obtain easily higher voltage, but a module assembly is impossible to convert electrically because of lower current.Thus, an appropriate level parallel connection in the DSSC module assembly must be fabricated to produce current, composing parallel module assembly with minimum loss that is essential.That is to say, it is important to maintain large internal shunt resistance ( SH ) in the module assembly.The current loss is caused by decrease of internal shunt resistance, which can be inhibited by proper series connected [1].

Fabrication of Dye-Sensitized Solar
Cell.The synthesis of graphene oxide (GO) was reported in our previous paper [14].The graphene/TiO 2 paste consisted of P25 TiO 2 powder, deionized water, Triton X-100, acetoacetone (AcAc), and graphene oxide solution, which were mixed by an ultrasonic cleaner for 10 minutes.The graphene/TiO 2 paste was coated on fluorine doped SnO 2 -coated conductive (FTO) glass by spin-coated method.Then the graphene/TiO 2 layer was annealed at 550 ∘ C for 30 minutes as the working electrode.The working electrode was immersed in 3 × 10 −4 M N3 dye solution.Platinum (Pt) layer was deposited for 90 seconds on the FTO-glass substrate as the counter electrode by using radio frequency (R.F.) sputtering system.After that the cell was sealed by Surlyn to form a sandwich structure.And the electrolyte solution consisted of 0.6 M 1-propyl-2,3dimethylimidazolium iodide (DMPII), 0.5 M lithium iodide (LiI), 0.05 M iodine (I 2 ), and 0.5 M 4-tert-butylpyridine (TBP) in 15 mL 3-methoxypropionitrile (MPN).The active area of working electrode was approximately 0.57 cm 2 .A module assembly was fabricated with variations module assemblies by copper tape, using 8 DSSCs module assembly and having module areas of 16.32 cm 2 .Moreover, the total effective area of module assembly was approximately 4.56 cm 2 .

Characteristic and Photoelectric Properties of Graphene/
TiO 2 Composite Films.The short circuit current density-open circuit voltage (J-V) curves and photovoltaic characterizations of the DSSCs were carried out by using a Keithley 2400 source meter.A solar light simulator (MFS-PV-Basic-HMT, Taiwan) was used to simulate sunlight under one sun AM1.5 G (100 mW/cm 2 ) illumination provided by a 1000 W Xenon (Xe) lamp.The electrochemical impedance spectroscopy (EIS) measurements were performed using an electrochemical analyzer (BioLogic SP-150, France) with forward bias of 0.70 V in the dark.The impedance spectra were recorded by EC-lab software within the frequency range from 50 mHz to 1 MHz by applying an AC perturbation signal of 10 mV.

Characterization of Graphene/TiO 2 Composite Film.
The photoelectrode of DSSC is composed of graphene/TiO 2 composite film.The surface morphology of graphene/TiO 2 composite film has been investigated using SEM. Figure 2 showed top-view SEM image of graphene/TiO 2 composite film.As shown in Figure 2, graphene/TiO 2 composite film had higher specific surface area, which attributed to the lower crystallinity and TiO 2 nanoparticles that were attached on the graphene easily [14][15][16].

Photovoltaic Characterizations of
DSSCs.An appropriate level parallel connection in the DSSC module assembly must be fabricated to produce current, composing parallel module assembly with minimum loss that is essential [17,18].That is to say, it is important to maintain large internal shunt resistance ( SH ) in the module assembly.The current loss is caused by decrease of internal  SH , which can be inhibited by proper series connected [1].
Figure 3 showed real diagram of DSSC module assemblies.The module assembly was fabricated by 8 DSSCs, and these cells were listed in Table 1.The average  oc ,  sc , FF, and  of these cells were 0.648 V, 14.136 mA/cm 2 , 37.053%, and 3.008%, respectively.

Effect of Different Series-Parallel Connection Modules on
Impedance Spectrum.As shown in Figure 4(a), the equivalent circuit of DSSC is demonstrated by using EIS.In the  The internal resistance, the characterization of electron and charge transportation, and diffusion between interfaces were simulated by an RC parallel circuit [19].The equivalent circuit model was described as follows: where  1 corresponds to the serial resistances of FTO-glass and wires are at the high-frequency region. 2 and  1 correspond to the resistance and double layer capacitance of the electrolyte/Pt-FTO interface. 3 and  2 correspond to the resistance and chemical capacitance of the TiO 2 /electrolyte interface. 4 is the Warburg impedance, which describes the diffusion of I 3 − in the electrolyte.The symbol , also known as constant phase elements (CPE), describes the constant phase element of the capacitance, meaning a nonideal frequency dependent capacitance due to a nonuniform distribution of current by the material heterogeneity [4,20,21].
As shown in Figures 5(a) and 5(b), the cells were connected module assembly in series connection, which was represented as S, two cells in series were denoted as 2S, and so on.In the series-connected models, the impedance was enlarged with increasing module assemblies in series connection, which could be attributed to the longer conductive path for electron.The longer conductive path for electron would easily make the condition of electron recombination happen during the electron transfer from conduction band of TiO 2 to I 3 − in electrolyte.Besides, the result of series connection was beneficial to raise voltage of DSSC, but the current density of DSSC remained unchanged.
On the other hand, Figure 6 showed that the module assemblies were fabricated in parallel connection, where parallel connection was represented as P, two cells in parallel were represented as 2P, and so on.In the parallel connected models, the impedance was reduced with increasing module assemblies in parallel connection, which could be attributed to more conductive paths for electron.Besides, the result of parallel connection was beneficial to raise current but the voltage remained unchanged.
In the series-parallel connected models, series connection can maintain large shunt resistance.Figure 7(a) showed the series-parallel connected models by composing 2 series connections and 4 parallel connections, where 2 series connections and 4 parallel connections were represented as 2S4P.The total internal shunt resistance was equal to 1/2 SH .Therefore, the number of series connected DSSCs is less than the number of parallel connected DSSCs, in which the total internal shunt resistance is lower than one cell, in spite of the additional parallel connections [1].On the contrary, Figure 7(b) showed the series-parallel connected models by composing 4 series connections and 2 parallel connections, where 4 series connections and 2 parallel connections were represented as 4S2P.The total internal shunt resistance was equal to 2 SH .

4
International Journal of Photoenergy As shown in Figure 8(a), the series connected models were composed by 1-4 cells in series connection, the characteristic frequency shifted toward low frequency with increase of series connected cell due to enhancement of shunt resistance.On the other hand, Figure 8(b) showed parallel connected models by composing 1-4 cells, in which the lifetime (  ) did not have significant change, and the characteristic frequency was almost constant because the time constants (  ) were almost the same.Thus, the number of series connected DSSCs was more than the number of parallel connected DSSCs, in which the characteristic peaks were toward low frequency, as shown in Figure 8(c).In Figures 9(a)-9(c), the trends of impedances were consistent with Figures 5-7. S , total series resistance is composed by charge-transfer resistances and Nernst diffusion resistance in DSSC, using conductive substrate with very low sheet resistance, a counter electrode with very large roughness factor (RF), and low  3 to obtain the minimum series resistance theoretically of 0.7 cm 2 .However, the actual series resistance is much higher [22].And the EIS results were listed in Table 2.
Based on Table 2,  1 mainly attributed to the sheet resistance of conductive substrate, in which  1 increases in proportion to increasing in the sheet resistance of conductive substrate [21].In addition,  2 is related to charge-transfer process at the counter electrode, which increases with larger surface area of the counter electrode.In order to decrease  2 , RF acts as an index of surface area of the counter electrode, which is defined as the ratio of the total surface area to the active area of the counter electrode [22].

Conclusions
In this study, the internal impedances of different DSSC models were analyzed by electrochemical impedance spectrometer with an equivalent circuit model.It was useful to analyze the component structure and promote photovoltaic properties of DSSC.According to the experiment results, the impedance was increased with increasing cells connected in series.On the contrary, the impedance was decreased with increasing cells connected in parallel.In addition, the cells were composed by 1-4 cells in series connection; the characteristic frequency shifted toward low frequency with increase of series connected cell due to enhancement of International Journal of Photoenergy   shunt resistance.Conversely, the cells were shown parallel connected models by composing 1-4 cells, in which the lifetime did not have significant change, and the characteristic frequency was almost constant because the time constants were almost the same.

Figure 6 :Figure 7 :
Figure 6: Cells connected module assembly in parallel connection.

Figure 8 :
Figure 8: The Bode phase plots based on different DSSC model assemblies (a) series modules; (b) parallel modules; (c) series-parallel modules.

Table 1 :
Photovoltaic properties of DSSCs.SH and a constantcurrent source ( S ) are in parallel with the junction, where  1 and  2 can be ignored in DC analysis because capacitances are too large, approximately 10 F/cm 2 and 1 mF/cm 2 , respectively.As shown in Figure4(b), the equivalent circuit of DSSC can be simplified to Norton's equivalent circuit theorem by a current source ( [1]ple oc (V)  sc (mA/cm 2 ) F.F. (%)  (%) S ) with series resistance ( S ) and  SH in parallel, where the sum of  1 ,  2 ,  3 , and  4 is expressed as  S .Also, the equivalent circuit of DSSC can be simplified to Thevenin's equivalent circuit theorem by a voltage source  S with  S and  SH in series, as shown in Figure4(c).And the sum of  S and  SH is expressed as , in which the output current ( O ) is equal to "( SH ×  S )/," but  O is generally similar with  S because  SH is much larger than RS[1].

Table 2 :
Measurement results of EIS based on different DSSC model assemblies.