Tao Zhang,
Zhenkang Dan,
Zhonghui Shen,
Jianyong Jiang,
Mengfan Guo,
Bin Chen*,
Yuanhua Lin,
Ce-Wen Nan and
Yang Shen*
School of Materials Science and Engineering, State Key Lab of New Ceramics and Fine Processing, Tsinghua University, Beijing 100084, China. E-mail: shyang_mse@tsinghua.edu.cn; chenbinalvin@mail.tsinghua.edu.cn
First published on 6th February 2020
Poly(vinylidene fluoride) (PVDF)-based polymers with excellent flexibility and relatively high permittivity are desirable compared to the traditional bulk ceramic in dielectric material applications. However, the low discharge efficiency (<70%) caused by the severe intrinsic dielectric loss of these polymers result in a decrease in their breakdown strength and other problems, which limit their widespread applications. To address these outstanding issues, herein, we used a stacking method to combine poly(methyl methacrylate) (PMMA) with poly(vinylidene fluoride-co-hexafluoropropylene) (P(VDF-HFP)) for the synthesis of a series of alternating multilayer films with different layers. Benefitting from the blocking effect of the multilayer structure and excellent insulation performance of PMMA, simultaneous improvements in the breakdown strength and discharge efficiency of the multilayer films were achieved. Compared with the pure polymer films and other multilayer films with different layers, the film with a 9-layer structure exhibited the highest energy storage density of 25.3 J cm−3 and extremely high discharge efficiency of 84% at 728 MV m−1. Moreover, the charge and discharge performance of the other multilayer films were also better than that of P(VDF-HFP). In addition, it was also found that for the multilayer composite films with the same components, the blocking effect was reinforced with an increase in the number of layers, which led to a significant improvement in the breakdown strength. We consider that the multilayer structure can correlate with the dielectric properties of different polymer materials to enhance the energy storage of composite materials, and will provide a promising route to design high dielectric performance devices.
Ue = 1/2DE = 1/2ε0εrE2 | (1) |
Herein, we fabricated a series of P(VDF-HFP)/PMMA alternating multilayer composite films, in which P(VDF-HFP) and PMMA were superimposed layer by layer, and the effects of the multilayer structure on the composite dielectric behavior were studied in detail. The results demonstrate that the PMMA layer and the P(VDF-HFP) layer of the composite films have a dense and stable interface, benefitting from their good compatibility. More importantly, the free movement of carriers in the composite films is significantly inhibited by the introduction of high insulation PMMA and multilayer structure, which is manifested in the reduced leakage current of the composite films. Meanwhile, the microstructure of the films transforms into an amorphous phase under the influence of PMMA, and hence they exhibit low ferroelectric loss. The lower leakage current and low ferroelectric loss of the multilayer composite films may not only improve their electrical breakdown strength but also significantly enhance their discharge efficiency. As a result, by combining P(VDF-HFP) with high polarization and PMMA with excellent insulation properties into the multilayer structure, extremely high η (∼84%) and ultrahigh Ue (∼25.3 J cm−3) are achieved in multilayer composite films.
Fig. 1 Schematic illustration of the structures of the PMMA/P(VDF-HFP) multilayer composites and the controls (pure PMMA and pure P(VDF-HFP)), respectively. |
To understand the effect of the multilayer structure on the dielectric properties of the composite films, frequency sweep dielectric spectroscopy for the multilayer composite films was conducted and the results are presented in Fig. 2. It can be seen that the dielectric constant of PMMA remained almost linear at around 4 over the frequency range because of its amorphous structure, while for P(VDF-HFP), its dielectric constant has a strong dependence on frequency due to its partial crystalline structure and corresponding polarity. The introduction of the multilayer structure caused a change in the polymer structure, leading to the combination of the dielectric properties of PMMA and P(VDF-HFP) for the composite films. Specifically, the dielectric constants of the multilayer films (M-3L, M-5L, M-7L, and M-9L) are nearly two-fold that of pure PMMA over the full frequency range, which is mainly due to the introduction of P(VDF-HFP), which possesses higher permittivity. Simultaneously, it can be found that with an increase in the number of alternating layers, the dielectric constants of the films slightly improved due to the enhanced influence of interfacial polarization at relatively high frequencies. Fig. 2b compares the dielectric loss of the various films. It can be observed that the introduction of P(VDF-HFP) with a higher dielectric loss inevitably led to an increase in the overall loss of the films. However, significant reductions in dielectric loss were found in the multilayer films at high frequencies. The loss peak at high frequency comes from the α relaxation of the P(VDF-HFP) chain segment.37 After combining with PMMA, part of the P(VDF-HFP) chain segments is affected by the PMMA chain segment and the movement of the P(VDF-HFP) chain is restricted, which leads to a reduction in the loss peak of P(VDF-HFP) at high frequency. In the low frequency, a loss peak corresponding to the α relaxation of the PMMA chain segments can also be observed.46 When PMMA was combined with P(VDF-HFP) through the multilayer structure, since PMMA still exists alone, a corresponding loss peak still existed in the multilayer film at low frequency. As a result, composite films with low loss and high dielectric constant were achieved via the combination of PMMA and P(VDF-HFP), providing a good basis for the subsequent improvement of related dielectric properties, which are highly required for energy storage.
Fig. 2 (a) Frequency dependence of dielectric constant and (b) dielectric loss for the pure polymer and multilayer composite films. |
For dielectric materials, in addition to excellent dielectric properties, high breakdown strength is another important parameter to determine the quality of the materials. Controlling low conduction loss is an important way to improve the breakdown strength of dielectric materials. Fig. 3a shows the electric field dependence of the leakage current for the PMMA/P(VDF-HFP) multilayer composites with an increasing number of layers. The pure PMMA and the composite films with a multilayer structure have dramatically lower leakage currents than pure P(VDF-HFP). This result indicates that the multilayer structure can effectively suppress the leakage current, and the suppression effect is better with an increase in the number of layers. In general, the leakage current is mainly caused by the movement of charge carriers, which are originally inside the films or injected from the electrodes before the film is broken down. Therefore, the reduction in the leakage current of the nanocomposite films is mainly contributed by the following two factors.47 Firstly, the leakage current of the film can be well controlled at a lower level due to the excellent insulation properties of PMMA. Secondly, with the introduction of the multilayer structure, the free motion of carriers can be restrained at the interface between PMMA and P(VDF-HFP) by taking advantage of the different electrical performances between them.
To further analyze the contribution of the multilayer structure in suppressing the leakage current, TSDC spectroscopy was used to study the polarization of various carriers (such as electrons and impurity ions) in multilayer composite films. Fig. 3b shows the TSDC spectra of the multilayer films with a poling electric field (Ep) of 15 MV m−1 and a poling temperature (Tp) of 60 °C for 30 min. The polarization conditions of pure PMMA and P(VDF-HFP) were kept the same as that of the multilayer composite films. For the TSDC spectroscopy of pure P(VDF-HFP), three discharge peaks could be identified at around −45 °C, 60 °C, and 90–100 °C. Among them, the peak at −45 °C (Tg,P(VDF-HFP)) corresponds to the depolarization of the polarized amorphous P(VDF-HFP) via devitrification at Tg (glass transition temperature), the peak of 60 °C (Pe) corresponds to the depolarization of the injected charges from electrodes (from Schottky or thermionic emission), and the discharge peak at around 90–100 °C (Pion) can be assigned to the depolarization of ions in the P(VDF-HFP) film.48 The difference in the peak position between Pe and Pion is because the ions need to be polarized at a higher poling temperature since their mobility is lower than the electron mobility. Conversely, for PMMA under the same test conditions, there is almost no corresponding depolarization peak at the temperature range of −100–100 °C, which also proves that PMMA has excellent insulation performance. By comparing the depolarization peaks of the different films in Fig. 3b, it can be found that the intensity of all the depolarization peaks was significantly weaker for the multilayer composite films compared with that of P(VDF-HFP), and it became weaker as the number of layers increased. For example, the peak intensity of Pion in the P(VDF-HFP) film is ∼56 μA m−2 while it is only ∼0.78 μA m−2 for the 9L multilayer films. One of the primary reasons for the decrease in intensity is the excellent insulation properties and high Tg of PMMA. Firstly, when PMMA is added to P(VDF-HFP), the movement of the P(VDF-HFP) chain is inevitably affected by the PMMA chain segment, and the local electric field of P(VDF-HFP) with a high dielectric constant is smaller according to the multilayer theory, causing weaker Tg,P(VDF-HFP) peaks. Simultaneously, the high insulation of PMMA can well suppress the free movement of carriers in the films and improve their overall insulation performance. The introduction of the multilayer structure is another main reason for the decrease in the intensity of the peaks, mainly reflected in the reduction of Pe and Pion. As mentioned above, the peaks of Pe and Pion are formed by the slow release of thermally stimulated carriers during the heating process, and the magnitude of the peak intensity directly reflects the number of freely movable carriers. Thus, it can be concluded that the multilayer structure can reduce the number of freely movable carriers, and the reduction effect enhances as the number of stacked layers increases. The reason for this is that the thermally stimulated carriers move along the direction of the electric field, and due to the multilayer structure, most of the carriers are confined at the interface between PMMA and P(VDF-HFP). Simultaneously, these trapped carriers cannot be completely released during the subsequent heating process due to the interface confinement, and finally the peaks of Pe and Pion are effectively reduced.
In addition to the electrical breakdown caused by leakage conduction, the electromechanical breakdown under a high electric field is also a major reason for the breakdown of the composite films. Theoretically, the Stalk–Garton model gives the relationship between the breakdown electric field and Young's modulus as: Eem = κ(Y/ε0εr)1/2 (κ is a constant and Y is the Young's modulus), which visually shows that these two factors are positively correlated.49 During the experiment, when a high electric field is applied in the out-of-plane direction of the nanocomposite films, the breakdown resistance of the multilayer composite films is largely dependent on the out-of-plane mechanical properties. The Young's modulus of the multilayer composite films in the out-of-plane direction was evaluated by nanoindentation and presented in Fig. 3c. As can be seen, the Young's modulus of pure P(VDF-HFP) is only 1.6 GPa, which is much lower than that of pure PMMA (5.8 GPa). By introducing the hard PMMA and multilayer structure into P(VDF-HFP), the Young's modulus of the multilayer composite films improved compared with that of the pristine P(VDF-HFP). The results also show that the Young's modulus of the multilayer composite films with the same composition increased with an increase in the number of layers. For the multilayer composite films, the increase in the number of layers with the same composition indicates a larger interaction between PMMA and P(VDF-HFP), which can better enhance the mechanical properties of the multilayer composite films.
Benefitting from the reduction in leakage current and the enhancement in the mechanical properties of the multilayer composite films, their breakdown strength significantly improved compared to that of P(VDF-HFP). Two-parameter Weibull statistics was employed for the analysis of the dielectric breakdown behavior of the multilayer composite films. The distribution function is described as: P(E) = 1 − exp[−(E/Eb)β], where P(E) is the cumulative probability of electric failure, E is the experimental breakdown strength, Eb is calculated from the Weibull distribution, which refers to the breakdown strength at the cumulative failure probability of 63.2% and is also regarded as the characteristic breakdown strength, and β is a shape parameter to assess the degree of data dispersion and is also an important parameter for evaluate the quality of the multilayer films.7 The Weibull statistical analysis for the multilayer films is shown in Fig. S3,† and the values of Eb are summarized and plotted in Fig. 3c. Clearly, it can be found that Eb was greatly enhanced with an increase in the number of layers, from 569 MV m−1 for the pure P(VDF-HFP), to a maximum of 728 MV m−1 for the nanocomposite with 9 layers, which is nearly 1.3 times that of pristine P(VDF-HFP). To further study the impact of the multilayer structure on Eb, the Eb of multilayer film and PMMA were compared with that of P(VDF-HFP), and the calculation results are presented in Fig. 3d. From the calculation results, two distinct features can be distinguished in the dielectric breakdown behaviors of the multilayer composites films. Firstly, it can be concluded that the multilayer structure can significantly improve the Eb of the composite films, and the key factor that affects the breakdown of the nanocomposite films with the same composition is the number of layers. For instance, the four multilayer nanocomposites with M-3L (633 MV m−1), M-5L (679 MV m−1), M-7L (698 MV m−1) and M-9L (728 MV m−1) configurations showed higher breakdown strengths than P(VDF-HFP) (569 MV m−1). Secondly, through the previous calculation results, it can be found that different from the simple addition effect, the Eb of the multilayer composite films is not only higher than that of P(VDF-HFP), but also pure PMMA. This means that in addition to the reduction in leakage conduction and the improvement in electromechanical performance caused by the multilayer structure, the blocking effect of the interface is particularly important for the improvement of breakdown strength. Meanwhile, all the multilayer composites films exhibit rather high β values (∼20), which are significantly higher than that of PMMA (19) and P(VDF-HFP) (11), suggesting that the Eb distribution is narrow and the reliability of the film was improved significantly. The high β values also provide an important basis for demonstrating the excellent dielectric properties of multilayer composite films.
To further study the influence of the interface on the electric breakdown process in the multilayer composite films, a phase-field model was employed to simulate the growth of electrical trees in the film with an increase in time under an electric field, and the contribution of the interface blocking effect to the breakdown strength is discussed. In this case, we constructed four multilayer structure models, as shown in Fig. 4. As can be seen, the electrical trees of all the multilayer composite films increased with strengthening of the electric field, but with an increase in the number of layers, the longitudinal growth and lateral expansion of the electrical trees were inhibited. The interface blocking effect can be used to explain this phenomenon, which includes two aspects. Firstly, there are many deep traps at the interface between PMMA and P(VDF-HFP), which capture some charge carriers and confine them in the interface region, reducing the breakdown possibility of the nanocomposite films caused by carrier motion. Hence, it is reasonable to infer that the greater the number of layers, the greater the amount of carriers restricted, and the reliability of the nanocomposite films will be better improved. Secondly, according to the theory of partial voltage, when the film is subjected to an electric field, PMMA is assigned a voltage higher than P(VDF-HFP) due to the dielectric mismatch between PMMA (εr ∼ 3) and P(VDF-HFP) (εr ∼ 9). Therefore, the P(VDF-HFP) layer with a low Eb in the multilayer structure can avoid early failure under the higher electric field, which is also a reason for the breakdown strength improvement. Actually, the interface blocking effect means that the electrical breakdown path is blocked, and the multilayer structure makes use of this advantage to improve the breakdown strength to a higher value.
Fig. 4 Breakdown evolution procedures for the multilayer composite films with 3L, 5L, 7L and 9L by phase-field simulation. |
The electrical displacement–electrical field (D–E) loops of the pure polymer and multilayer composite films at high electric field were measured using a modified Sawyer–Tower circuit. Fig. S4† shows the D–E loops for all the dielectric films. PMMA exhibited an extremely thin line type, indicating a very low dielectric loss, while P(VDF-HFP) as a polar polymer presented a coarser line, indicating a high dielectric loss. In addition, the D–E loops of the multilayer composite films, which combine PMMA and P(VDF-HFP) through the stack method, were significantly narrow compared with that of pure P(VDF-HFP) due to the addition of the linear PMMA, and the maximum polarization values also decreased accordingly. Fig. 5a compares the remnant polarization of the various films derived from their D–E Loops (Fig. S4†) as a function of electric field. The Pr of P(VDF-HFP) increased rapidly with an increase in the electric field from 0.053 μC cm−2 at 100 MV m−1 to 1.188 μC cm−2 at 300 MV m−1, and then very mildly to 1.323 μC cm−2 at 569 MV m−1. This exhibits a stark contrast to the Pr changing trends of the multilayer composite films, which increased monotonically with an increase in electric field, and especially the pure PMMA, its Pr had almost no change. The variation in Pr at lower electric fields is primarily associated with the intrinsic leakage current of the material. Combined with the leakage current of the composite films at a lower field presented in Fig. 3a, the results are also consistent with the above conclusions. Therefore, it can be concluded that the rapid growth of Pr for P(VDF-HFP) can be effectively suppressed by introducing PMMA with an excellent insulation performance, while the blocking effect of the multilayer structure can also provide positive effects to reduce the Pr of the P(VDF-HFP) nanocomposites.
Fig. 5 (a) Remnant displacement of the multilayer composite films as a function of the electric field summarized from the D-E loops in Fig. S4.† (b) Comparison of the energy storage properties of the multilayer composite films. |
According to formula (1), the multilayer composite films will inevitably induce a higher discharge energy density with a decrease in Pr and increase in Eb. Fig. S5† shows the Ue and η of the dielectric films as a function of electric field, both of which are related to the integration of the area between the discharge/charge curve and the ordinate in the D–E loops. As shown in the graph, even the pure PMMA has an extremely high discharge efficiency before breakdown, where its energy density is relatively low due to its low polarization value, while the opposite is observed for P(VDF-HFP). For the films with the multilayer structure, owing to the enhanced Eb induced by the multilayer structure, Ue is remarkably increased compared with that of PMMA and P(VDF-HFP), and a higher efficiency is obtained, benefitting from the suppressed dielectric loss. For a better comparison, the values of Ue and η are summarized and plotted in Fig. 5b and two significant results can be observed. Firstly, the energy densities of all the multilayer films are almost higher than 20 J cm−3, which is an ultrahigh value for polymer matrix dielectric materials. For instance, the highest Ue of ∼25.3 J cm−3 at 728 MV m−1 was obtained for M-9L, which is 1.34 times that of P(VDF-HFP) (Ue ∼ 18.8J cm−3 at 569 MV m−1) and 2.25 times that of PMMA (Ue ∼ 11.2 J cm−3 at 616 MV m−1). The Ue of 3L (∼19.9 J cm−3 at 633 MV m−1), 5L (∼22.3 J cm−3 at 679 MV m−1) and 7L (∼23.4 J cm−3 at 698 MV m−1) are also higher than that of P(VDF-HFP) and PMMA. For polymer matrix composites, the contribution of Eb dominates that of the dielectric constant to Ue, which is due to the fact that the dielectric constant of polymer composites is generally at a lower level and has a first power relationship with Ue. The second characteristic is the enormous improvement of η. The extremely high efficiency means that most of the energy can be effectively used and only a very small amount of the energy is converted into Joule heat or otherwise during energy storage and release. For P(VDF-HFP), an η value of 74.7% was achieved through the optimization of the preparation process, which is still unsatisfactory to meet application requirements. Inspiringly, an ultrahigh η of 84% and Ue value of 25.3 J cm−3 (M-9L) can be acquired from the P(VDF-HFP)-based multilayer films with PMMA, which are attributed to the suppression of ferroelectric loss and conduction loss of P(VDF-HFP).
Footnote |
† Electronic supplementary information (ESI) available. See DOI: 10.1039/c9ra10030j |
This journal is © The Royal Society of Chemistry 2020 |