The disclosure relates generally to power converters.
The general class of multilevel inverters comprises of, among others, a type known as Cascaded Multilevel Inverters. Cascaded inverters have been used in the industry for high power applications. Among the techniques for controlling these cascade converters include a carrier-based Pulse Width Modulation (PWM) scheme known as phase-shifted carrier PWM (PSCPWM).
A Phase-Shifted Carrier Pulse Wave Modulation (PSCPWM) scheme is implemented in a step wave power converter for a stand-alone inverter mode of operation. The foregoing and other objects, features and advantages of the invention will become more readily apparent from the following detailed description of a preferred embodiment of the invention which proceeds with reference to the accompanying drawings.
Activating gates S13 and S12 and deactivating gates S11 and S14 in Bridge#1 creates a voltage Vo,1=VDC,1. Deactivating gates S13 and S11 and activating gates S12 and S14 in Bridge#1 shorts Vo,1=0.
The cascaded inverter topology requires that all the DC sources 14 be isolated from each other. This isolation feature allows the outputs of the H-bridges 12 to be added together vectorially. This fact is illustrated in
Vop(t)=Vo,1(t)+Vo,2(t)+ . . . +Vo,N(t) (1)
The schematic of a single-phase step wave power converter 20 with N H-bridges 12 is shown in
As seen in
Vop,SW(t)=VSEC,1(t)+VSEC,2(t)+ . . . +VSEC,N(t) (2)
For both topologies in
In the case of a Step Wave Inverter 20 in
PSCPWM Scheme for Cascaded Inverters
For the case of operation of one single-phase H-bridge inverter 10 with 3-level naturally sampled modulation, the analytical solution for all the harmonics is known. It has also been shown that for series-connected single-phase bridges some dominant harmonics can be cancelled by appropriately phase-shifting the carriers for the bridges. This modulation process is denoted as phase-shifted carrier PWM, or PSCPWM.
The underlying principle of PSCPWM is to retain sinusoidal reference waveforms for the two phase legs of each H-bridge 12 that are phase shifted by 180° and then to phase shift the carriers of each bridge to achieve additional harmonic cancellation around the even carrier multiple groups.
To illustrate,
In general, a cascaded inverter 10 with N bridges 12 will have N carriers where Carrier #1, Carrier #2, . . . , Carrier #N are the carrier waveforms for Bridge #1, Bridge #2, . . . , Bridge #N respectively. The two reference waveforms 30 and 32 are phase shifted from each other by 180°, and each reference waveform is assigned to one leg of the H-bridges, as discussed for the case of 5-level inverter. As before, Sine Ref #1 is used as a reference for Leg a of all the N H-bridges in the inverter, and Sine Ref #2 is used as a reference for Leg b for all the N H-bridges in the inverter.
In
Modulation index M is the ratio of peaks of the carrier and reference waveforms. In other words, for a single H-bridge 12, a modulation index of M will result in an output voltage with peak of M*VDC, and the fundamental component of this output voltage has a RMS value of M*VDC/√{square root over (2)}. For N cascaded bridge inverters 10 operating with DC voltage VDC, the RMS value of the fundamental component of the output voltage is given by:
The output voltage waveform also contains harmonics due to switching action of the converter. For sine PWM the dominant harmonics are located near the multiples of the switching frequency. For cascaded bridges, PSCPWM can be used be cancel some of these harmonics. Theoretical analysis has shown that optimum harmonic cancellation is achieved by phase shifting each carrier by (i−1) π/N, where i is the ith H-bridge and N is the number of series-connected H-bridges.
Therefore, for two cascaded H-bridges 12, the carriers need to be phase shifted by 90°, for three cascaded H-bridges the carriers need to be phase shifted by 60°, and so on. In other words if the carrier waveforms 36 and 38 have periods of ΔT, then for two cascaded H-bridges 12, the carriers need to be phase shifted by ΔT/4, for three cascaded H-bridges the carriers need to be phase shifted by ΔT/6, and so on. This is illustrated in
VDC,1=VDC,2= . . . =VDC,N=VDC (4)
For triangular carriers 36 and 38, sampling can be symmetrical or asymmetrical. For symmetrical sampling, the references 30 and 32 are sampled at either the positive or negative peaks of the carriers 36 and 38 and then held constant for the entire carrier interval. For asymmetrical sampling the references 30 and 32 are sampled every half carrier 36 and 38 at both the positive and negative carrier peaks.
Sampling the reference signals 30 and 32 produce a stepped waveform which is phase delayed with respect to the original reference waveforms 30 and 32. For symmetrical sampling, this delay is one half the carrier interval, while for asymmetrical sampling this delay is one quarter the carrier interval.
In the digital implementation this phase delay can be compensated by phase advancing the reference waveforms 30 and 32 by the appropriate time interval. The most common implementation for a digital PWM controller is using a digital controller around a microcontroller or a Digital Signal Processor (DSP). Good harmonic performance may be achieved by using 3-level asymmetrical regular sampled PWM for each H-bridge 12 in the cascaded inverter 10. The waveform synthesis for the cascaded converter 10 and step wave converter 20 may be similar. Therefore the 3-level asymmetrical regular sampled PWM is used for also implementing PSCPWM for the step wave inverter.
The reference waveform samples for Leg a corresponding to Interval 1 and Interval 2 are Ref_Val 1a and Ref_Val 2a respectively, and the reference waveform samples for Leg b corresponding to Interval 1 and Interval 2 are Ref_Val 1b and Ref_Val 2b respectively. The reference samples are obtained after adjusting for the one quarter of the carrier period introduced due to sampling.
As can be seen, the switched waveforms for each leg are obtained by comparing the carrier wave 36 with the reference sample values. Each phase leg of the inverter switches to the upper DC rail (VDC) 14A when the reference value Ref_Val 1a, Ref_Val 2a, Ref_Val 1b, or Ref_Val 2b exceeds the carrier wave 36, and switches to the lower DC rail (0) 14B when the reference value falls below the carrier.
Following this scheme, the control signals for the power transistors can be generated. For the H-bridge under example (Bridge #1 of the cascaded inverter shown in
Waveform 50A shows the output voltage of Leg b at node 12B. During Interval 1 the reference value 1 Ref_Val 1b exceeds the carrier waveform 36A for the time interval t0-t2. Accordingly, the output voltage at node 12B is set to +VDC during the time interval to-t2 by activating switch S13 (i.e. turning the switch ON) and deactivating switch S14 (i.e. turning the switch OFF). During time interval t2-t3 the carrier waveform 36A exceeds the reference value Ref_Val 1b. Accordingly, the output voltage at node 12B is set to 0 during the time interval t2-t3 by activating switch S14 (i.e. turning the switch ON) and deactivating switch S13 (i.e. turning the switch OFF). During Interval 2 carrier waveform 36B exceeds the reference value Ref_Val 2b for the time interval t3-t4. Accordingly, the output voltage is set to 0 during the time interval t3-t4 by activating switch S14 and deactivating switch S13 During time interval t4-t6 the reference value Ref_Val 2b exceeds the carrier waveform 36B. Accordingly, the output voltage is set to +VDC during the time interval t4-t6 by activating switch S13 and deactivating switch S14.
Waveform 50B shows the output voltage of Leg a at node 12A. During Interval 1 the reference value Ref_Val 1a exceeds the carrier waveform 36A for the time interval t0-t1. Accordingly, the output voltage at node 12A is set to +VDC during the time interval t0-t1 by activating switch S11 and deactivating switch S12. During time interval t1-t3 the carrier waveform 36A exceeds the reference value Ref_Val 1a. Accordingly, the output voltage at node 12A is set to 0 during the time interval t1-t3 by activating switch S12 and deactivating switch S11. During Interval 2 carrier waveform 36B exceeds the reference value Ref_Val 2a for the time interval t3-t5. Accordingly, the output voltage is set to 0 during the time interval t3-t5 by activating switch S12 and deactivating switch S11 During time interval t5-t6 the reference value Ref_Val 2a exceeds the carrier waveform 36B. Accordingly, the output voltage is set to +VDC during the time interval t5-t6 by activating switch S11 and deactivating switch S12.
The combination of waveforms 50A and 50B produce waveform 50C where the output of Bridge #1 (Vop,1) is equal to 0 during the time interval t0-t1, moves to VDC during the time interval t1-t2, moves to 0 during the time interval t2-t4, moves to VDC during the time interval t4-t5, moves to 0 during the time interval t5-t6 etc.
The PSCPWM is selected for the single-phase configuration of step wave inverter for stand-alone application whereby the converter performs DC-AC power conversion to supply a local load. The details of implementation of PSCPWM for a 5-level step wave inverter given below show that the inherent transformer leakage inductance can be used to eliminate external inductance and filter the output voltage.
Referring again to
Any DC voltage source 12 can be used e.g. a battery bank, a photovoltaic array, a fuel cell etc. The N transformers 16 that are part of the inverter 20 are identical, with the primary to secondary winding ratio 1:R. Thus a pulse of VDC on the primary 16A of any transformer 16 will result in a voltage pulse of R*VDC on the secondary winding 16B of the transformer 16.
In applying the PSCPWM technique to the step wave inverter 20, the sine-triangle modulation and the generation of gating signals for the power transistors is the same as the cascaded inverter. As mentioned previously, the 3-level asymmetrical regular sampled PWM provides good harmonic performance for implementing PSCPWM.
A sketch of the resulting inverter voltage before any filtering is performed is shown in
For cascaded inverter 10 (
The PSCPWM scheme was tested with a 3-level asymmetrical regular sampling on a prototype single-phase step wave inverter 20. The prototype was designed for operation with high-density Li-ion battery pack. The AC output 22 of the inverter 20 was 120V, 60 Hz, 2.4 kW continuous output power. The inverter 20 can be designed for 5-level operation i.e. with 2H-bridges and 2 transformers. One implementation used DC and AC operating voltages resulting in transformer voltage ratio of 1:1.43. The carrier frequency was chosen as 4500 Hz, thus yielding a carrier to fundamental ratio of 4500/60=75.
A digital implementation of PSCPWM is carried out as shown in
In order to attain a sine-wave quality and reduce the harmonic content in the output voltage for all stand-alone inverters, some sort of filtering is applied in the output 22 in
The size and values of the filter components 80 and 82 depend upon the magnitude of harmonics present in the output voltage and the level of attenuation desired. A high harmonic content in the output voltage 22 results in large Lf and Cf. The superior harmonic performance of the PSCPWM scheme results in output voltage that inherently has a low harmonic content. This ensures that the filter components Lf and Cf are small.
Furthermore, from
Lfilter=Lf+(N*Lσ)
Thus, it can be seen that the transformer leakage inductance contributes to the total filter inductance. This can be used to reduce the size of the external inductance, Lf. With a proper choice of the filter capacitance, Cf, it is possible to eliminate Lf. This useful feature is demonstrated on a prototype step wave inverter with PSCPWM. The leakage inductance of each transformer is measured to be 60 μH, giving a total of 120 μH for the 2 transformers 16. It is found that using only the leakage inductance of the transformers and a 15 μF filter capacitor gives excellent power quality for the output voltage for different kinds of loads. As can be seen in
The system described above can use dedicated processor systems, micro controllers, programmable logic devices, or microprocessors that perform some or all of the operations. Some of the operations described above may be implemented in software and other operations may be implemented in hardware.
For the sake of convenience, the operations are described as various interconnected functional blocks or distinct software modules. This is not necessary, however, and there may be cases where these functional blocks or modules are equivalently aggregated into a single logic device, program or operation with unclear boundaries. In any event, the functional blocks and software modules or features of the flexible interface can be implemented by themselves, or in combination with other operations in either hardware or software.
Having described and illustrated the principles of the invention in a preferred embodiment thereof, it should be apparent that the invention may be modified in arrangement and detail without departing from such principles. I claim all modifications and variation coming within the spirit and scope of the following claims.
This application claims priority from provisional application Ser. No. 60/820,942, filed Jul. 31, 2006, which is incorporated by reference in its entirety. U.S. Pat. No. 6,198,178, entitled: Step Wave Power Converter, issued Mar. 6, 2001, is also incorporated in its entirety.
Number | Name | Date | Kind |
---|---|---|---|
3491282 | Heinrich et al. | Jan 1970 | A |
3581212 | McMurray | May 1971 | A |
3628123 | Rosa et al. | Dec 1971 | A |
3648149 | Brown et al. | Mar 1972 | A |
3792286 | Meier | Feb 1974 | A |
3793578 | Rettig | Feb 1974 | A |
4032832 | Miller | Jun 1977 | A |
4202933 | Reiser et al. | May 1980 | A |
4330367 | Musick | May 1982 | A |
4366532 | Rosa et al. | Dec 1982 | A |
4367196 | Wende et al. | Jan 1983 | A |
4375662 | Baker | Mar 1983 | A |
4510434 | Assbeck et al. | Apr 1985 | A |
4628438 | Montague | Dec 1986 | A |
4678983 | Rouzies | Jul 1987 | A |
4689133 | McIlhenny | Aug 1987 | A |
4736151 | Dishner | Apr 1988 | A |
4800481 | Knaffl et al. | Jan 1989 | A |
5041957 | Dhyanchand et al. | Aug 1991 | A |
5132892 | Mizoguchi | Jul 1992 | A |
5229652 | Hough | Jul 1993 | A |
5327071 | Frederick et al. | Jul 1994 | A |
5334463 | Tajima et al. | Aug 1994 | A |
5366821 | Merritt et al. | Nov 1994 | A |
5373433 | Thomas | Dec 1994 | A |
5376912 | Casagrande | Dec 1994 | A |
5631820 | Donnelly et al. | May 1997 | A |
5642275 | Peng et al. | Jun 1997 | A |
5683793 | Malhotra | Nov 1997 | A |
5696439 | Presti et al. | Dec 1997 | A |
5714874 | Bonnefoy | Feb 1998 | A |
5734258 | Esser | Mar 1998 | A |
5763113 | Meltser et al. | Jun 1998 | A |
5847941 | Taguchi et al. | Dec 1998 | A |
5859772 | Hilpert | Jan 1999 | A |
5896281 | Bingley | Apr 1999 | A |
5898282 | Drozdz et al. | Apr 1999 | A |
5933339 | Duba et al. | Aug 1999 | A |
5986909 | Hammond | Nov 1999 | A |
6015634 | Bonville et al. | Jan 2000 | A |
6072710 | Chang | Jun 2000 | A |
6096449 | Fuglevand et al. | Aug 2000 | A |
6175217 | Da Ponte et al. | Jan 2001 | B1 |
6184593 | Jungreis | Feb 2001 | B1 |
6188199 | Beutler et al. | Feb 2001 | B1 |
6198178 | Schienbein et al. | Mar 2001 | B1 |
6225794 | Criscione et al. | May 2001 | B1 |
6237424 | Salmasi et al. | May 2001 | B1 |
6242120 | Herron | Jun 2001 | B1 |
6243277 | Sun et al. | Jun 2001 | B1 |
6255008 | Iwase | Jul 2001 | B1 |
6275018 | Telefus et al. | Aug 2001 | B1 |
6282111 | Illingworth | Aug 2001 | B1 |
6304068 | Hui et al. | Oct 2001 | B1 |
6324042 | Andrews | Nov 2001 | B1 |
6340851 | Rinaldi et al. | Jan 2002 | B1 |
6377874 | Ykema | Apr 2002 | B1 |
6396137 | Klughart | May 2002 | B1 |
6428917 | Lacy et al. | Aug 2002 | B1 |
6522955 | Colborn | Feb 2003 | B1 |
6556461 | Khersonsky et al. | Apr 2003 | B1 |
6587766 | Bruckner | Jul 2003 | B2 |
6608404 | Schienbein | Aug 2003 | B2 |
6628011 | Droppo | Sep 2003 | B2 |
6656618 | Iwase | Dec 2003 | B2 |
6738692 | Schienbein | May 2004 | B2 |
6765315 | Hammerstrom | Jul 2004 | B2 |
6867987 | Cheng et al. | Mar 2005 | B2 |
6882063 | Droppo | Apr 2005 | B2 |
6979916 | Schienbein | Dec 2005 | B2 |
7087332 | Harris | Aug 2006 | B2 |
20040004403 | Schienbein et al. | Jan 2004 | A1 |
20040095113 | Kernahan et al. | May 2004 | A1 |
20080298104 | Sachdeva | Dec 2008 | A1 |
Number | Date | Country |
---|---|---|
2658087 | Jun 2001 | CA |
2394761 | Jun 2009 | CA |
19626447 | Mar 1998 | DE |
19635606 | Mar 1998 | DE |
19810468 | Nov 2006 | DE |
0390184 | Oct 1990 | EP |
0614771 | Sep 1994 | EP |
0667246 | Aug 1995 | EP |
0703652 | Mar 1996 | EP |
0756372 | Jan 1997 | EP |
0780750 | Jun 1997 | EP |
0874448 | Oct 1998 | EP |
0913918 | May 1999 | EP |
0967086 | Dec 1999 | EP |
1956002.8 | Jun 2004 | EP |
2295508 | May 1996 | GB |
2330254 | Apr 1999 | GB |
05-23791 | Feb 1993 | JP |
05-38154 | Feb 1993 | JP |
07-67346 | Mar 1995 | JP |
07-194118 | Jul 1995 | JP |
07-222455 | Aug 1995 | JP |
10014133 | Jan 1998 | JP |
10217603 | Aug 1998 | JP |
11-89242 | Mar 1999 | JP |
2001037101 | Feb 2001 | JP |
WO9528285 | Oct 1995 | WO |
9941828 | Aug 1999 | WO |
0147095 | Jun 2001 | WO |
0211267 | Feb 2002 | WO |
2009044293 | Sep 2009 | WO |
Number | Date | Country | |
---|---|---|---|
60820942 | Jul 2006 | US |