DOI QR코드

DOI QR Code

A Level Dependent Source Concoction Multilevel Inverter Topology with a Reduced Number of Power Switches

  • Edwin Jose, S. (Department of Electrical and Electronics Engineering, Rajas Engineering College) ;
  • Titus, S. (Department of Electrical and Electronics Engineering, M.A.M. College of Engineering)
  • Received : 2015.12.21
  • Accepted : 2016.03.10
  • Published : 2016.07.20

Abstract

Multilevel inverters (MLIs) have been preferred over conventional two-level inverters due to their inherent properties such as reduced harmonic distortion, lower electromagnetic interference, minimal common mode voltage, ability to synthesize medium/high voltage from low voltage sources, etc. On the other hand, they suffer from an increased number of switching devices, complex gate pulse generation, etc. This paper develops an ingenious symmetrical MLI topology, which consumes lesser component count. The proposed level dependent sources concoction multilevel inverter (LDSCMLI) is basically a multilevel dc link MLI (MLDCMLI), which first synthesizes a stepped dc link voltage using a sources concoction module and then realizes the ac waveform through a conventional H-bridge. Seven level and eleven level versions of the proposed topology are simulated in MATLAB r2010b and prototypes are constructed to validate the performance. The proposed topology requires lesser components compared to recent component reduced MLI topologies and the classical topologies. In addition, it requires fewer carrier signals and gate driver circuits.

Keywords

I. INTRODUCTION

Multilevel inverters (MLIs) are recommended for high power, medium voltage applications due to their ability to synthesize a staircase waveform from several isolated dc sources, capacitor banks or renewable energy sources. The primary features of a typical MLI include a high quality output voltage (near to a sinusoid wave), low harmonic distortion, lower electromagnetic interference and low voltage stress across the switches [1], [2]. The classical MLI topologies are the cascaded H-Bridge (CHB), diode clamped and flying capacitor types [3]-[5]. The CHB is composed of a series connection of several isolated H-Bridge inverters to generate a stepped output voltage with a desired amplitude and frequency. The diode clamped and flying capacitor MLIs make use of a single dc source with capacitor banks to synthesize an output voltage through clamping diodes and flying capacitors. However, these topologies need more number of power components with different blocking voltages and at an increased number of levels. In addition, they suffer due to higher implementation costs and control complexity. Topologies with a higher component count not only increases the size, but also increases the complexity through larger gate drives and tough timing/sequence management. This is the motivation to focus on developing converter topologies with reduced component counts and suitable modulation strategies [6]-[9]. Depending on the voltage magnitudes of separate dc sources (SDCs), the MLIs are classified into symmetric and asymmetric topologies [10]-[12]. The magnitudes of the SDCs are equal in symmetric topologies while in the asymmetric topologies they are unequal. The symmetric topologies have modularity and other related merits. On the other hand, the asymmetric topologies require devices with different blocking voltages and do not have modularity in their structure.

A class of MLIs based on a multilevel dc link (MLDCL) together with an H-bridge inverter has been suggested to reduce the number of switches, clamping diodes and capacitors [11]. The MLDCL has been endowed utilized to acquire a dc voltage with the shape of a staircase, approximating the rectified shape of the desired wave. MLDCL converters have been seen to significantly reduce the switch count and the number of gate drivers as the number of voltage levels increases. Another variety of multilevel dc-link inverter (MLDCLI), referred to as the series parallel switched multilevel dc-link inverter (SPSMLDCLI), has been developed with the primary objective of arriving at a reduced component count [12]. It has been developed to produce the shape of a staircase output voltage approximating the rectified shape of a desired sinusoidal wave, either with or without pulse width modulation (PWM) by switching the dc sources in series/parallel. A few more symmetric MLI structures have been recommended, which reduce the number of switches for higher voltage levels [13], [14]. The topology mentioned in [13] is based on a mixture of cascaded basic cells and the one presented in [14] is derived from non-isolated dc sources with a reduced number of power switches. On the other hand, these topologies offer marginal improvements in the reduction of switches. A modular MLI topology has been introduced with advantages such as simplicity, modularity and redundancy with respect to the CHB-based inverter [15]. However, this topology offers a higher number of components and gate driver circuits. A MLI topology comprised of a cascaded connection of cells containing two voltage sources with six switches and a H-bridge inverter has been developed [16]. The presented topology maximizes the number of levels using a few cells. Numerous topologies have been introduced with the primary characteristic of lowering the number of switches [17], [18]. The switch peak inverse voltages (PIVs) of the switches in the presented topologies are greater than that of the basic CHB MLI.

Having selected a topology for user convenience, the next step is developing a PWM strategy and pulse separation logic. A discussion of the MLI topology will only be complete when a suitable switching strategy is devised. Generally the PWM strategies of a MLI are logical extensions of the strategies available for two level voltage source inverters (VSIs). In 1983, P. M. Bhagwat and V. R. Stefanovi presented a generalized control structure for multilevel PWM inverter, which stands as the foundation of the PWM techniques for MLIs [19]. In 1992, G. Carrara et al. proposed a multilevel PWM method and proved its superiority by the lowest harmonic distortion when compared with the other PWM methods [20]. In 1999, L. M. Tolbert et al. found that the implementation of the existing control strategies for a diode-clamped inverter affects the switch utilization, which in turn increases the losses. In 2000, B. P. Mcgrath and D. G. Holmes demonstrated an analytical solution for PWM techniques and also determined that the harmonic components produced by the alternative phase opposition disposition (APOD) technique in diode clamped inverters is the same as that of the phase shifted carrier (PSC) technique in cascaded inverters [21]. In 2001, Calais. M. et al. confirmed a number of multi-carrier PWM methods [22]. A MLI modulation strategy suitable for stand-alone PV applications has been suggested, which produces a much higher fundamental output compared to conventional SPWM without any pulse dropping [23]. The employed phase-shifted carriers produce a harmonically superior SPWM signal, reduce THD and improve conversion efficiency. A MLDCL-based topology along with the natural sampled PWM scheme has been presented [24]. A boost switched capacitor MLI has been tested for different multi carrier based PWM techniques [25]. Single carrier-based PWM strategies have been tried for nine level inverters [26]-[27]. A detailed study has revealed the presence of even harmonics in the output of a few of the multi-carrier options because of the absence of half wave symmetry in the phase switching function [28].

This paper proposes a new level dependent sources concoction MLI (LDSCMLI) with a view to reduce the number of switching devices and gate drivers. It is basically a symmetrical multilevel dc link MLI (MLDCMLI) topology, which has modules viz. a sources concoction module and a H-bridge module. The presented simulation and experimental results confirm the validity of the proposed inverter. Phase disposition pulse width modulation (PD-PWM) is employed both in the MATLAB simulation and in the laboratory corroboration.

 

II. PROPOSED LDSCMLI TOPOLOGY

The LDSCMLI topology facilitates the connection of voltage sources in series/parallel combination by switching the appropriate devices to produce a desired level of output voltage. The sources to be included as well as their concoction fashion (either series or parallel) are dependent on the present level of the output. It uses the same number of voltage sources as that of CHBMLI for any number of voltage levels but at a reduced switch count. Fig. 1 shows the generalized LDSCMLI topology along with isolated dc voltage sources (V1-Vn) integrated with a H-Bridge inverter. The two integral modules of the LDSCMLI are clearly indicated in the figure. The dc sources are available both in the vertical and horizontal arms of the LDSCMLI, and there is a series switch with every one of them. The source paralleling switches S1, S3, S5, S7 etc., help in paralleling the sources in the adjoining vertical arms V2-V4, V4-V6, V6-V8, etc. The arm bridging switches S2', S4', S6', etc., cascade the sources in the adjoining vertical arms and help in making higher voltage levels. The source cascading switches S2, S4, S6, etc., connect the horizontal arm sources with the vertical arm sources to synthesize highest levels. The switches Sa and Sc are complementary to the switches Sd and Sb, and they perform polarity reversal in the H-bridge inverter.

Fig. 1.Proposed LDSCMLI Topology.

Figs 2 to 4 illustrate the operating modes of a seven level LDSCMLI for producing the positive/negative cycles of the output voltage on the load side. As seen in Fig. 2, the switches (S1 and S3) are fired to connect the voltage sources, V1 and V3 in parallel to produce the first level Vdc (V1=V2=Vdc) in the output voltage. Source V2 is not included in this mode. In the next mode, shown in Fig. 3, sources V1 and V3 are made in series to have an output of 2Vdc. V2 is not used in this mode either. In Fig. 4, the switch S2 connects all three of the voltage sources V1, V2 and V3 in series to produce an additive level 3Vdc in the output voltage. The switches used in a typical LDSCMLI have to withstand different voltages. For the seventh level inverter, the switches (S1 and S3) have to block Vdc and the switch (S2) has to block 2Vdc. Meanwhile the switches (Sa, Sb, Sc and Sd) in the H-bridge inverter have to block 3Vdc. In addition, the devices in the H-bridge inverter have to block the full dc-link voltages. Therefore, devices with higher blocking voltages need to be selected. The proposed MLI requires a reduced number of switching components in the active current conduction path kc and just half the number of carrier waves in the PWM generation when compared to the cascaded H-bridge inverter. It is worthwhile to note that an increased number of active devices in the conduction path leads to a larger voltage drop (hence a reduced output voltage) and increased conduction losses (the domination category of losses in power devices).

Fig. 2.Mode 1 Voltage sources (V1and V3) operating in Parallel.

Fig. 3.Mode 2 Voltage sources (V1and V3) operating in series.

Fig. 4.Mode 3-voltage sources (V1, V2 and V3) operating in series.

Being a symmetrical MLI topology, all the magnitudes of all the dc sources are equal to Vdc. The maximum output voltage and the number of levels are equal to 'nVdc' and (2n+1) respectively, where ‘n’ is the number of dc sources. The entries in Table I represent the requirements of the switches, dc sources, gate drive drivers, etc. in the proposed topology and in other competing topologies (for ‘m’ levels). The superiority of the proposed topology is demonstrated in terms of the component count. In an identical condition, the proposed symmetric topology is compared with the symmetric CHBMLI, the MLDCLI and the SPSMLDCLI. The SPSMLDCLI uses series and parallel connections of the dc voltage sources.

TABLE ICOMPONENT COMPARISON OF MLI TOPOLOGIES

At a seven level output, the three classical topologies (CHBMLI, diode clamped MLI and flying capacitor MLI) and the SPSMLDCLI require 12 and 10 devices respectively. Meanwhile the proposed LDSCMLI topology requires only 8 devices. The proposed symmetric MLI uses a much lower number of switches in comparison with the other topologies.

From the previous discussions, the benefits of the proposed configuration can be easily understood. Fig. 5 compares the number of active switches required for the basic configurations (cascaded, diode-clamped and capacitor clamped), the MLDCL and the proposed LDSCMLI inverters. All three of the classical topologies require the same number of main power switches. Similarly, all of the MLDCL configurations do not differ in this count. When the number of levels (m) increases, the number of active switches also increases as 2(m-1) and ((m-1) +4) for the basic configurations and the MLDCL configurations while the LDSMLI follows the expression (m+1). Fig. 6 summarizes the total component count. The proposed LDSCMLI configuration reduces the total component count by 42% from the monster configuration (basic diode clamped) and 18% from the diminutive circuit (cascaded-MLDCL) at a seven level output.

Fig. 5Comparison of required number of switches.

Fig. 6.Comparison of total component count.

 

III. APPROPRIATE SWITCHING SCHEME

To implement any single variant of the sub-harmonic/multicarrier PWM (SHPWM/MCPWM), the proposed topology at a 'm' level output requires (m-1) triangular carriers of the same amplitude and frequency. In addition, they are disposed vertically in phase with each other. The switching signals required to fire the switching devices are obtained by direct comparisons between the triangular carriers (Vcr1, Vcr2 and Vcr3) and the modulating reference sine signal ( (M × sin wt) , as depicted in Fig. 7, where 'M' is the modulation index. Fig. 8 illustrates the analog circuitry for implementing the PD-PWM for a seven level output. Table II shows the logical functions to tailor exact gate pulses to the devices in the sources concoction module while the gate pulses of the H-bridge devices are basic square wave pulses (fundamental switching).

Fig. 7.PD-PWM technique.

Fig. 8.PD-PWM scheme for single phase seven level inverter.

TABLE IILOGICAL FUNCTIONS TO GENERATE G ATES PULSES FROM BASIC DUTY CYCLE FUNCTIONS

 

IV. SIMULATION RESULTS

MATLAB-Simulink r2010b software is used for the simulations in this paper. The simulation parameters are: V1=V2=V3= Vdc=100V and the switching frequency is 2 kHz. An inductive load is considered with the values R= 150Ω and L= 100mH. Typical gate pulses obtained in the simulation are portrayed in Fig. 9. Meanwhile, Fig. 10 and Fig. 11 depict the output voltage waveform and its harmonic spectrum respectively for M=1. The inductive load current for a single phase seven level inverter is portrayed in Fig. 12, and it traces a nearly sinusoidal shape due to the filtering action of the inductive load and the supportive carrier frequency. Fig. 13 and Fig. 14 depict the chart for variations of the fundamental component of the output voltage (Vo1) with M and for variations of the THD with Vo1. It is seen that Vo1 increases linearly with M (the THD decreases).

Fig. 9.Typical gate pulse patterns.

Fig. 10.Output voltage waveform.

Fig. 11.Output voltage Spectrum.

Fig. 12.Load current.

Fig. 13.Variation of Vo1 with M.

Fig. 14.Vo1 Versus THD.

 

V. EXPERIMENTAL INVESTIGATION

The prototype LDSCMLI shown in Fig. 15 is constituted using a power IGBT (BUP306D) and tested for the load specifications used in simulation study to validate the simulated performance. The PD-PWM is implemented in a Xilinx Spartan 3E-500 FG320 FPGA board. The PD-PWM architecture is designed using the VHDL language. The functional simulation of the architecture is carried out using the Modelsim 6.3 tool. A Xilinx ISE 13.2 synthesize tool is employed for the Register Transfer Level (RTL) verification and implementation. Then, the designed architecture is configured to the Xilinx Spartan 3E-500 FG320 FPGA device. The output voltage waveform, the harmonic spectrum and the load current waveform for a seven level output (at M=1) are shown in Fig. 16, Fig. 17 and Fig. 18, respectively. The experimental results are in agreement with the simulation results and highlight the practical applicability of the proposed MLI topology. The experimental investigation is extended for higher level outputs as well. The output voltage waveform and harmonic spectrum for an 11 level output are shown in Fig. 19 and Fig. 20, respectively. The losses are estimated for the proposed topology and others at different M values and compared in Fig. 21.

Fig. 15.Prototype of proposed single phase seven level inverter.

Fig. 16.Output voltage waveform-experimental.

Fig. 17.Output voltage harmonic spectrum – experimental.

Fig. 18.Inductive load current waveform – experimental.

Fig. 19.Output voltage waveform- 11 level.

Fig. 20.Output voltage harmonic spectrum - 11 level.

Fig. 21.Total power losses (W) versus M for proposed, monster and diminutive topologies- for seven level.

 

VI. CONCLUSIONS

A new symmetrical MLI structure using isolated voltage sources has been developed. The topology has been constituted using a relatively small number of semiconductor devices compared to the existing MLI topologies. The proposed configuration has been designed to obtain a desired number of voltage levels from the same number of voltage sources and achieve a higher quality output voltage spectrum. The number of operating switches in each conduction sequence has been drastically reduced to minimize conduction losses and to obtain a higher efficiency. MATLAB simulation and Xilinx Spartan 3E-500 FG320 FPGA supported testing have also been provided. The proposed topology is suitable for photovoltaic, FACTS and UPS applications.

References

  1. N. S. Choi, J. G. Cho, and G. H. Cho, “A general circuit topology of multilevel inverter,” Proceedings of 22nd Annual IEEE Power Electronics Specialists Conference (PESC’91), pp. 96-103, 1991.
  2. K. Corzine and Y. Familiant, “A new cascaded multilevel H-bridge drive,” IEEE Trans. Power Electron., Vol. 17, No. 1, pp. 125-131, Jan. 2002. https://doi.org/10.1109/63.988678
  3. B. P. McGrath and D. G. Holmes, “Natural capacitor voltage balancing for a flying capacitor converter induction motor drive,” IEEE Trans. Power Electron., Vol. 24, No.6, pp. 1554-1561, Jun. 2009. https://doi.org/10.1109/TPEL.2009.2016567
  4. J. Rodriguez, J.-S. Lai, and F. Z. Peng, “Multilevel inverters: A survey of topologies, controls, and applications,” IEEE Trans. Ind. Electron., Vol. 49, No. 4, pp. 724-738, Aug. 2002. https://doi.org/10.1109/TIE.2002.801052
  5. A. L. Batschauer, S. A. Mussa, and M. L. Heldwein, “Three-phase hybrid multilevel inverter based on half-bridge modules,” IEEE Trans. Ind. Electron., Vol. 59, No. 2, pp. 668-678, Feb. 2012. https://doi.org/10.1109/TIE.2011.2158039
  6. E. Babaei, “A cascade multilevel converter topology with reduced number of switches,” IEEE Trans. Power Electron., Vol. 23, No. 6, pp. 2657-2664, Nov. 2008. https://doi.org/10.1109/TPEL.2008.2005192
  7. J. Ebrahimi, E. Babaei, and G. B. Gharehpetian, “A new topology of cascaded multilevel converters with reduced number of components for high-voltage applications,” IEEE Trans. Power Electron., Vol. 26, No. 11, pp. 3109-3118, Nov. 2011. https://doi.org/10.1109/TPEL.2011.2148177
  8. A. Nami, F. Zare, A. Ghosh and F. Blaabjerg, “A hybrid cascaded converter topology with series-connected symmetrical and asymmetrical diode-clamped H-bridge cells,” IEEE Trans. Power Electron., Vol. 26, No. 1, pp. 51-64, Jan. 2011. https://doi.org/10.1109/TPEL.2009.2031115
  9. M. Manjrekar and T. A. Lipo, “A hybrid multilevel inverter topology for drive application,” Proceedings of Applied Power Electronics Conference (APEC'98), pp. 523-529, 1998.
  10. A. Rufer, M. Veenstra, and K. Gopakumar, “Asymmetric multilevel converter for high resolution voltage phasor generation,” Proceedings of European Power Electronics Conference (EPE'99), 1999.
  11. G. J. Su, “Multilevel dc-link inverter,” IEEE Trans. Ind. Appl., Vol. 41, No. 3, pp. 848-854, May/Jun. 2005. https://doi.org/10.1109/TIA.2005.847306
  12. S. Ramkumar, V. Kamaraj, S. Thamizharasan, and S. Jeevananthan, “A new series parallel switched multilevel dc-link inverter topology,” International Journal of Electrical Power & Energy Systems, Vol. 36, No. 1, pp. 93-99, Mar. 2012. https://doi.org/10.1016/j.ijepes.2011.10.028
  13. E. Babaei, S. H. Hosseinia, G. B. Gharehpetianb, M. T. Haquea, and M. Sabahia, “Reduction of dc voltage sources and switches in asymmetrical multilevel converters using a novel topology,” Elsevier Journal of Electric Power System Research, Vol. 77, No. 8, pp. 1073-1085, Jun. 2007. https://doi.org/10.1016/j.epsr.2006.09.012
  14. A. Lesnicar and R. Marquardt, “An innovative modular multilevel converter topology suitable for a wide power range,” Proceedings of IEEE Power Technical Conference, Vol. 3, 2003.
  15. G. P. Adam, O. Anaya-Lara, G. M. Burt, D. Telford, B. W. Williams, and J. R. Mcdonald, “Modular multilevel inverter: pulse width modulation and capacitor balancing technique,” IET Power Electronics, Vol. 3, No. 5, pp. 702-715, Sep. 2010. https://doi.org/10.1049/iet-pel.2009.0184
  16. K. K. Gupta and S. Jain, “Topology for multilevel inverters to attain maximum number of levels from given DC sources,” IET Power Electron,, Vol. 5, No. 4, pp. 1755-4535, Apr, 2012. https://doi.org/10.1049/iet-pel.2011.0178
  17. A. Ajami, M. R. J, Oskuee, M. T. Khosroshahi, and A. Mokhberdoran, “Cascade-multi-cell multilevel converter with reduced number of switches,” IET Power Electron., Vol. 7, No. 3, pp. 552-558, Mar. 2014. https://doi.org/10.1049/iet-pel.2013.0261
  18. M. T. Khosroshahi, A. Ajami, A. O. Mokhberdoran, and M. J. Oskuee, “Multilevel hybrid cascade-stack inverter with substantial reduction in switches number and power losses,” Turkish Journal of Electrical Engineering and Computer Sciences, Vol. 22, No. 4, pp. 987-1000, Jun. 2015. https://doi.org/10.3906/elk-1304-179
  19. P. M. Bhagwat and V. R. Stefanovic, “Generalized structure of a multilevel PWM inverter,” IEEE Trans. Ind. Appl., Vol. 19, No. 6, pp. 1057-1069, Nov./Dec. 1983. https://doi.org/10.1109/TIA.1983.4504335
  20. G. Carrara, S. Gardella, M. Marchesoni, R. Salutari, and G. Sciutto, “A new multilevel PWM method: A theoretical analysis,” IEEE Trans. Power Electron., Vol. 7, No. 3, pp. 497-505, Jul. 1992. https://doi.org/10.1109/63.145137
  21. B. P. McGrath and D. G. Holmes, “A comparison of multi carrier PWM strategies for cascaded and neutral point clamped multilevel inverters,” Proceedings of 31st Annual IEEE Power Electronics Specialized Conference (PESC'2000), pp.674-679, 2000.
  22. M. Calais, L. J. Borle, and V. G. Agelidis, “Analysis of multi-carrier PWM methods for single-phase five level inverter,” Proceedings of 32nd Annual Meeting and IEEE Power Electronics Specialized Conference (PESC'2001), Vol. 3, pp. 1351-1356, 2001.
  23. H. Patangia and D. Gregory, “A class of optimal multilevel inverters based on sectionalized PWM (S-PWM) modulation strategy,” Proceedings of 52nd IEEE International Conference on Midwest Symposium on Circuits and Systems (MWSCAS'09), pp. 937-940, 2009.
  24. S. N. Rao, D. V. A. Kumar and C. S. Babu, “New multilevel inverter topology with reduced number of switches using advanced modulation strategies,” Proceedings of IEEE International Conference on Power, Energy and Control (ICPEC), pp. 693-699, 2013.
  25. M. Kanimozhi and P. Geetha, “A new boost switched capacitor multilevel inverter using different multi carrier PWM techniques,” Proceedings of IEEE International Conference on Circuit, Power and Computing Technologies (ICCPCT), pp. 432-437, 2014.
  26. V. N. Nguyen and J. Y. Myung, “A Single Carrier Multi-Modulation Method In Multilevel Inverters,” Journal of Power Electronics, Vol. 5, No. 1, pp. 76-82, Jan. 2005.
  27. V. N. Nguyen and J. Y. Myung, “A unified carrier based PWM method in multilevel inverters,” Journal of Power Electronics, Vol. 5, No. 2, pp.142-150, Apr. 2005.
  28. S. Agarwal and S. R. Deore, “Level shifted SPWM of a seven level cascaded multilevel inverter for STATCOM applications,” Proceedings of IEEE International Conference on Nascent Technologies in the Engineering Field (ICNTE), pp. 1-7, 2015.
  29. S. Venkatanarayanan and M. Saravanan, “Implementation of sliding mode controller for Single Ended Primary Inductor Converter,” Journal of Power Electronics, Vol. 15, No. 1, pp. 39-53, Jan. 2015. https://doi.org/10.6113/JPE.2015.15.1.39
  30. S. Venkatanarayanan and M. Saravanan, “Design of parallel operated SEPIC converters using coupled inductor for sharing load,” Journal of Power Electronics, Vol. 15, No. 2, pp. 327-337, Mar. 2015. https://doi.org/10.6113/JPE.2015.15.2.327

Cited by

  1. Finite control set predictive control of shunt hybrid power filter vol.104, pp.6, 2017, https://doi.org/10.1080/00207217.2016.1253787
  2. Model predictive control method for CHB multi-level inverter with reduced calculation complexity and fast dynamics vol.11, pp.5, 2017, https://doi.org/10.1049/iet-epa.2016.0330
  3. Design and analysis of novel optimal harmonic elimination strategy based on MOPSO to obliterate low-order harmonics of odd-nary cascaded transformers-based multilevel inverter pp.01704214, 2018, https://doi.org/10.1002/mma.5356
  4. A Segmented Ladder-Structured Multilevel Inverter for Switch Count Remission and Dual-Mode Savvy vol.27, pp.14, 2018, https://doi.org/10.1142/S0218126618502237
  5. Design and simulation of Cascaded and Hybrid Multilevel Inverter with reduced number of semiconductor switches pp.2162-8246, 2019, https://doi.org/10.1080/01430750.2019.1583127