novel matrix converter topologies with reduced transistor...

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Novel Matrix Converter Topologies with Reduced Transistor Count S. M. Sajjad Hossain Rafin Electronic Systems Engineering Hanyang University Ansan, South Korea [email protected] Thomas A. Lipo Electrical & Computer Engineering University of Wisconsin-Madison Madison WI, USA [email protected] Byung-il Kwon Electronic Systems Engineering Hanyang University Ansan, South Korea [email protected] Abstract—This paper proposes several alternative novel matrix converter topologies based on the structure of a dual bridge matrix converter with certain advantages over the conventional matrix converter topologies. It is demonstrated that, by utilizing 3-transistor inverter at the load side of any indirect matrix converter family could lead to a major reduction in the high performance but expensive transistor count. One matrix converter topology is realized by employing only 12 transistors as opposed to 18 transistors as in the conventional or dual bridge or 15 transistors in the sparse matrix converter. Despite the reduced number of transistors, this topology ensures four-quadrant operation, unity power factor, no dc-link energy storage, and high quality voltage- current waveform. This paper also shows a realization which could reduce the transistor count further to only 6, which fulfills all the desirable features of a matrix converter except that it has unidirectional power flow capability which is still attractive for suitable applications. Thus, these circuits could prove to be attractive in applications requiring high cost switching components such as new silicon carbide or gallium nitride based devices. Proposed topologies are analyzed theoretically to verify the characteristics of this converter family. Simulation results of a 6-transistor topology are provided to validate the performance and feasibility of the novel topologies. I. INTRODUCTION Traditional AC-AC frequency converters convert AC electrical power of one frequency into AC electrical power of another frequency. Additionally, these converters, conventionally known as DC linked rectifier-inverter type power frequency converter. They have the capability to control the load voltage amplitude, the load displacement angle relative to source voltage, the displacement angle between source currents and voltages and the capability to control bi-directional or unidirectional power flow through the converter. Thus, the most desirable features of an AC-AC converter are as follows, 1. Simple and compact circuit arrangement 2. Generation of output voltage with changeable amplitude and frequency 3. High quality input and output current 4. Operations with unity power factor for any load 5. Regeneration capability The matrix converter, shown in Fig. 1, can also fulfil these ideal characteristics. Moreover it assures sinusoidal input and output waveforms, with minimal higher order harmonics and no sub-harmonics. Last but not least, it has a minimal energy storage requirement, which allows one to eliminate bulky and lifetime- limited DC-link energy-storing capacitors [1]-[4]. In 1980, Venturini introduced the first actual single-stage matrix converter (MC) consisting of an array of bidirectional switches [1], and in a following landmark work [2] the required algorithms were presented. However, industrial acceptance of the conventional matrix converter (CMC) had been limited due to its 18 power switches, complex commutation, bipolar snubbers, and limited voltage transfer ratio (up to 87%) [2]. However, since its introduction, intensive research has been conducted for the development of different modulation and control strategies [5]-[11]. As an alternative structure [12]-[16] propose a comparable indirect topology based on dual bridge concept. In [12] this arrangement is treated as a rectifier/inverter, where line (rectifier) and load (inverter) side switches are controlled separately. In addition, [13]-[16] start to label this arrangement as an indirect CMC approach also known as an indirect matrix converter (IMC). Moreover, in [14] [15], the complicated commutation scheme of this converter was reduced under the name of Dual Bridge Matrix Converter (DBMC). In addition, in [15], bulky clamp protection circuit was greatly simplified and in [15][16] the large number of power switches (transistors) were reduced gradually under certain constraints. e.g. from 18 to 15 is entitled as Sparse Matrix Converter (SMC), from 15 to 12 is termed as Very Sparse Matrix Converter (VSMC) and Inversing Link Matrix Converter (ILMC), and finally from 12 to 9 is called as Ultra Sparse Matrix Converter (USMC). 978-1-4799-5776-7/14/$31.00 ©2014 IEEE 1078

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Novel Matrix Converter Topologies with Reduced Transistor Count

S. M. Sajjad Hossain Rafin Electronic Systems Engineering

Hanyang University Ansan, South Korea [email protected]

Thomas A. Lipo Electrical & Computer Engineering University of Wisconsin-Madison

Madison WI, USA [email protected]

Byung-il Kwon Electronic Systems Engineering

Hanyang University Ansan, South Korea

[email protected]

Abstract—This paper proposes several alternative novel matrix converter topologies based on the structure of a dual bridge matrix converter with certain advantages over the conventional matrix converter topologies. It is demonstrated that, by utilizing 3-transistor inverter at the load side of any indirect matrix converter family could lead to a major reduction in the high performance but expensive transistor count. One matrix converter topology is realized by employing only 12 transistors as opposed to 18 transistors as in the conventional or dual bridge or 15 transistors in the sparse matrix converter. Despite the reduced number of transistors, this topology ensures four-quadrant operation, unity power factor, no dc-link energy storage, and high quality voltage-current waveform. This paper also shows a realization which could reduce the transistor count further to only 6, which fulfills all the desirable features of a matrix converter except that it has unidirectional power flow capability which is still attractive for suitable applications. Thus, these circuits could prove to be attractive in applications requiring high cost switching components such as new silicon carbide or gallium nitride based devices. Proposed topologies are analyzed theoretically to verify the characteristics of this converter family. Simulation results of a 6-transistor topology are provided to validate the performance and feasibility of the novel topologies.

I. INTRODUCTION Traditional AC-AC frequency converters convert AC

electrical power of one frequency into AC electrical power of another frequency. Additionally, these converters, conventionally known as DC linked rectifier-inverter type power frequency converter. They have the capability to control the load voltage amplitude, the load displacement angle relative to source voltage, the displacement angle between source currents and voltages and the capability to control bi-directional or unidirectional power flow through the converter. Thus, the most desirable features of an AC-AC converter are as follows,

1. Simple and compact circuit arrangement

2. Generation of output voltage with changeable amplitude and frequency

3. High quality input and output current

4. Operations with unity power factor for any load

5. Regeneration capability

The matrix converter, shown in Fig. 1, can also fulfil these ideal characteristics. Moreover it assures sinusoidal input and output waveforms, with minimal higher order harmonics and no sub-harmonics. Last but not least, it has a minimal energy storage requirement, which allows one to eliminate bulky and lifetime- limited DC-link energy-storing capacitors [1]-[4]. In 1980, Venturini introduced the first actual single-stage matrix converter (MC) consisting of an array of bidirectional switches [1], and in a following landmark work [2] the required algorithms were presented. However, industrial acceptance of the conventional matrix converter (CMC) had been limited due to its 18 power switches, complex commutation, bipolar snubbers, and limited voltage transfer ratio (up to 87%) [2]. However, since its introduction, intensive research has been conducted for the development of different modulation and control strategies [5]-[11].

As an alternative structure [12]-[16] propose a comparable indirect topology based on dual bridge concept. In [12] this arrangement is treated as a rectifier/inverter, where line (rectifier) and load (inverter) side switches are controlled separately. In addition, [13]-[16] start to label this arrangement as an indirect CMC approach also known as an indirect matrix converter (IMC). Moreover, in [14] [15], the complicated commutation scheme of this converter was reduced under the name of Dual Bridge Matrix Converter (DBMC). In addition, in [15], bulky clamp protection circuit was greatly simplified and in [15][16] the large number of power switches (transistors) were reduced gradually under certain constraints. e.g. from 18 to 15 is entitled as Sparse Matrix Converter (SMC), from 15 to 12 is termed as Very Sparse Matrix Converter (VSMC) and Inversing Link Matrix Converter (ILMC), and finally from 12 to 9 is called as Ultra Sparse Matrix Converter (USMC).

978-1-4799-5776-7/14/$31.00 ©2014 IEEE 1078

Figure 1. Common emitter based bidirectional trans

Figure 2. Dual bridge matrix converter t

This paper introduces several additionawith reduced number of transistors. Theybased on the structure of an IMC or DBMC the proposed structure as shown in Fig. 3, Drealized with 3 less transistors than thstructure. A literature survey on the MC sthat in case of any BDMC family, the trantechniques are utilized mostly on the lintopology, i.e. the rectifier circuit. Howediscusses a major transistor reduction technibe realized by utilizing a 3-transistor invertethe load side converter of any conventionaThis type of inverter topology (Load side cowas first proposed in [19] describingoperational principle, and its commutaMoreover, conventional PWM methods caboth the rectifier and inverter circuits, therescheme is simplified. Furthermore, a simpleused in between to connect the rectifier andMoreover, the derivation and the basic opethe switching sequence and PWM techrectifier and inverter circuits are discusseFinally, system level simulation results of are provided to verify the characteristics otopologies using MATLAB/ SIMULINK.

II. DERIVATION OF THE NOVEL MCConventionally, if a converter has “m”

outputs, the number of power switches req

sistor CMC topology

topology

al MC topologies y are developed (cf. Fig. 2). With

DBMCs could be heir conventional suggests [1]-[16] nsistors reduction ne side converter ever, this paper ique which could er circuit forming al DBMC family. onverter of Fig. 3) g the topology, ation technique. an be utilized on efore, the control e clamp circuit is d inverter circuit. eration alongside

hniques for both ed in this paper. f 6-transistor MC of the novel MC

C TOPOLOGY ” inputs and “n” quired for energy

conversion are mxn[1]. In accordanm-phase voltage source to an n-phaan array of mxn bidirectional powconverter of 33× switches shown practical interest because it connecsource with a three-phase load, typic

If the switching function of a sw

⎪⎩

⎪⎨⎧

= openedswitch,0closedswitch,1

jkS jkS

S jk

where,

w,v,uandc,b,a ∈∈ k ,j

Then the restriction of the CMCas,

0=++ ckbkak SSS

The input and output voltagesexpressed as vectors,

swVsvVsuV

oV

scVsbVsaV

iV⎥⎥⎥

⎢⎢⎢

⎡=

⎥⎥⎥

⎢⎢⎢

⎡=

The relation between these two vas follows,

⎢⎢⎢

⎥⎥⎥

⎢⎢⎢

=⎥⎥⎥

⎢⎢⎢

sc

sb

sa

cwbwaw

cvbvav

cubuau

VVV

SSSSSSSSS

VVV

sw

sv

su.

Thus, equation 4 can be rewritten

io VV .T=

where, T is the instantaneous transfe

In the same manner the relatioand output currents can be obtained

oiTi i.T=

iii

i iii

i

sw

sv

su

o

sc

sb

sa

i⎥⎥⎥

⎢⎢⎢

⎡=

⎥⎥⎥

⎢⎢⎢

⎡=

where, TT is the transpose matrix of

In contrast, the DBMC topologseries connected line and load side cDC link in-between. Here, a convinverter (VSI) is fed by bidirectiona(CSR) [3]. This structure decouplescurrent and output voltage.

Again, for a balanced 3 phase sy

0=++ scsbsa VVV

nce to that, to connect an ase load, a CMC requires

wer switches. The matrix in Fig. 1, has the highest cts a three-phase voltage cally a motor.

witch, Sjk in Fig. 1 is

d (1)

C topology can be written

(2)

s of such CMC can be

(3)

voltages can be expressed

⎥⎥⎥

c

b

a (4)

n as,

(5)

er matrix.

onship between the input as follows,

(6)

(7)

T.

gy (cf. Fig. 2) consists of converter with a fictitious ventional voltage source al current source rectifier s the control of the input

ystem line voltages are,

(8)

1079

Figure 3. Schematic of the novel matrix converter topology

Stup Stvp Stwp

Stun Stvn Stwn

Su Sv Sw

p iDC

n

Rl

Ll

El

isv

isu

isw

Sap Sbp Scp

San Sbn Scn

VDC

n

Vsb

Vsa

Vsc

Rf Lf Cf

Va Vb

Vc

Thus, the instantaneous transfer matrix “T” is essentially the product of line and load side converter transfer function. For the DBMC topology shown in Fig. 2, two additional points (p, n) are introduced and then “T” becomes as follows,

⎥⎥⎦

⎢⎢⎣

⎥⎥⎥⎥

⎢⎢⎢⎢

=⎥⎥⎥

⎢⎢⎢

cn

cp

bn

bp

an

ap

wnwp

vnvp

unup

cwbwaw

cvbvav

cubuau

SS

SS

SS

SS SS SS

SSSSSSSSS

. (9)

Thus, the output voltage of DBMC can be found as,

⎥⎥⎥

⎢⎢⎢

⎥⎥⎦

⎢⎢⎣

⎥⎥⎥⎥

⎢⎢⎢⎢

=⎥⎥⎥

⎢⎢⎢

sc

sb

sa

cn

cp

bn

bp

an

ap

wnwp

vnvp

unup

VVV

SS

SS

SS

SS SS SS

VVV

sw

sv

su.. (10)

Fig. 3 illustrates a novel topology based on the basic structure of a DBMC shown in Fig. 2. From the figure. it can be seen that this topology has less number of transistors and that the switch reduction strategy is applied on the load side converter. As may be observed, this topology is equipped with both transistors (Su, Sv, and Sw) and thyristors (Stup, Stun, Stvp, Stvn, Stwp, and Stwn). In contrast with the conventional VSI, new and evolving but expensive silicon carbide or gallium nitride based switches are reduced from 6 to 3 in numbers by using 6 inexpensive thyristors instead. Here, two thyristors (Stup, Sbtun for phase “u”) per phase provide positive to negative current commutation to the circuit. Unlike utilizing complex and expensive forced commutation techniques [17], these thyristors are naturally commutated by means of transistor’s switching capability. As for a conventional VSI, diodes are also connected antiparallel with all the switches for bidirectional current flow. Thus, the inverter circuit transfer function can be rewritten for of the proposed topology as follows,

⎥⎥⎥⎥

⎢⎢⎢⎢

++++++

=

⎥⎥⎥⎥

⎢⎢⎢⎢

)()()()()()(

wntwnwptwp

vntvnvptvp

untunuptup

wnwp

vnvp

unup

SS SSSS SSSS SS

SS SS SS

(11)

Finally, the output voltage of the novel MC topology could be obtained as,

⎥⎥⎦

⎢⎢⎣

⎥⎥⎥⎥

⎢⎢⎢⎢

++++++

=⎥⎥⎥

⎢⎢⎢

n

p

wntwnwptwp

vntvnvptvp

untunuptup

VV

SS SSSS SSSS SS

VVV

sw

sv

su.

)()()()()()(

(12)

Here, ⎥⎥⎥

⎢⎢⎢

⎥⎥⎦

⎢⎢⎣

⎡=

⎥⎥⎦

⎢⎢⎣

sc

sb

sa

cn

cp

bn

bp

an

ap

VVV

SS

SS

SS

nVpV

. (13)

It should be noted that switches Su, Sv, and Sw are operated both on the positive and negative cycle of the current flow. Thus, in equation (12) and (13) for the positive sequence transistors Su, Sv, and Sw become Sup, Svp, and Swp respectively. For the negative sequence they become San, Sbn, Scn, Sun, Svn, and Swn respectively.

III. PROPOSED TOPOLOGIES

A. Topologies with Regenerative Capability In order to obtain a sinusoidal input current supply a

conventional CSR is utilized with common-emitter bidirectional power transistors which is capable of operating with positive and negative DC current for the unipolar DC voltage as required by the VSI. With this arrangement PWM control is possible for both line and load side converter. Another version of the DBMC is proposed shown in Fig. 4, by replacing of the classical VSI with the 3-transistor VSI. In [19] authors have shown that it is an inexpensive alternative to the classical 6-transistor VSI and they have verified the performance and feasibility of this new VSI topology. Thus, the novel MC topology requires 15 unidirectional transistors to be the replacement to the 18-transistor topology.

The transistor switch count could be reduced furthermore under the same condition (Vp > Vn) at the line side bridge. Fig. 5 illustrates the switch reduction technique in step by step manner [5][15][16]. One can see that transistors Sapp and Sanp can be replaced with single switch and the topology

1080

Figure 4. Novel 15-transistor MC topology

Figure 5. Transistor reduction stretegy

Figure 6. Schemetic of the novel 12-transistor MC topology

Sapn Sbpn Scpn

Sapp Sbpp Scpp

Sanp Sbnp Scnp

Sann Sbnn Scnn

Vsa

Vsb

Vsc

Rf Lf

Cf

Stup Stvp Stwp

Stun Stvn Stwn

Su Sv Sw

p idc

n

Vdc

Rl

Ll

El

Va Vb Vc

isu isv isw

n

Sapn Sbpn

Sapp Sbpp

Sanp Sbnp

Sann Sbnn

Sap

Sa

Sbp

p iDC p iDC p iDC

n n n

Vsa

Vsb

Vsc

Rf Lf

Cf

P iDC

n

VDC

Sap Sbp Scp

Sa Sb Sc

San Sbn Scn

Stup Stup Stwp

Stun Stvn Stwn

Su Sv Sw

Rl

Ll

El

Figure 7. Novel 9-transistor VSMC topology

Figure 8. Novel 9-transistor ILMC topology

Figure 9. 11-transistor ILMC topology

Figure 10. Schemetic of the novel 6-transistor MC topology

isu uisw wisv v

abc

p iDC

VDC

n

abc

isu u

isw w

isv v

p iDC

VDC

n

abc

isu u

isw w

isv v

p iDC

VDC

n

Stup Stvp Stwp

Stun Stvn Stwn

Sa Sb Sc Su Sv Sw

isu isv isw

Rl

Ll

El

Vsa

Vsb

Vsc

Rf Lf

Cf

P iDC

n

VDC

n

Cc RcCc

possesses the same performance as CMS. This type of MC was denoted as SMC in [15] and it requires 15 unidirectional power transistors. However, Fig. 6 illustrates another novel MC topology using the switch reduction technique and the 3-transistor VSI discussed above. This novel topology consists of only 12 unidirectional transistors having the same characteristics as the 15-transistor MC or CMS.

Furthermore, the DBMC topology could reduce its power transistor count by employing zero DC link current commutation technique at the line side converter as shown in Fig. 7. This strategy of switch reduction is proposed in [15][16] and denoted as VSMC or 12-transistor MC. Nevertheless, this MC topology could be replaced by the novel 9-transistor MC topology shown in Fig. 7 which resembles the same characteristics as the 12-transistor VSMC.

B. Topologies with Non-regenerative Capability With the condition iDC ≥ 0, further switch reduction could

be achieved by connecting a conventional 6-transistor CSR

and VSI in series, as a result of a 12-transistor MC [15][16] (Fig. 8). By using the same strategy described above, this topology could be substituted by the novel 9-transistor MC topology shown in Fig. 8. Here, the bidirectional power flow can be realized by two power transistor and two diodes placed between the CSR and VSI as shown in Fig. 9.

Finally, by utilizing a two-quadrant buck-type PWM rectifier suggested in [15][16] and the 3-transistor VSI, one could realize the DBMC with further reduced number of transistors. Where, no current flows through transistors Sjp and Sjn ( c,b,a∈j ). Thus, a new 6-transistor MC could be obtained as shown in Fig. 10.

This circuit structure of the 6-transistor MC and 9-transitor MC topologies are such that, they restrict the

1081

operation to unidirectional power flow. Andused when the value of the DC link curreequal to 0 (iDC ≥ 0). Due to this, the phasethe input voltage and current fundamental isAs a result of that, the power factor on the be always greater than 0.866. Neverthelesslow number of power transistors, this 6-tranbe of interest and in the future this novel reported in detail with experimental results.

C. Clamp Circuit Under normal or fault conditions the cl

essential component for both CMC and DBMpath for the commutation energy stored in threactance. However, in faulty condition energize the load current for the protection devices. The conventional clamp circuit of dual six-pack diode rectifiers and oneHowever, IMC topologies require a muchcircuit.

Moreover, in [15] the clamp circuit for 9-transistor MC or the USMC, is greatly simone diode and one capacitor. Likewise, a sand single capacitor (Cc) clamp circuit is u6-transistor MC as shown in Fig. 10. At stall the line side switches are on, the clamp is charged up to the maximum peak line vothe Cc shows higher voltage than the dc lHowever, to avoid high voltage spikescondition, with all the transistors off, the stoinductive load flows in to the Cc. Also, capacitor value depends on the load current,and the highest allowable capacitor voltage [

IV. COMMUTATION AND PWM CONT

For the purpose of simplified analysiscomponents Rf, Lf, and Cf are considerSwitching frequency of the rectifier side is higher than the input and output frequency. positive DC voltage is maintained by the reswitching functions, and the input voltage. Hcurrent and output voltage are determinedswitching functions and output current. Nevclamp circuit an additional damping resisparallel with the clamp capacitor (Cc) and dito minimize the fluctuations of the output wcan be considered as the conduction lcomponent.

In addition, the input source voltages cafollows,

⎪⎪⎪

⎪⎪⎪

+=

−=

=

)3

2tcos(

)3

2tcos(

tcos

i

i

i

πω

πω

ω

msc

msb

msa

VV

VV

VV

Figure 11. Six intervals of a switching cy

Figure 12. (a) Positive (b) negative switchin

d they can only be ent is positive or e displacement of s limited to ± π/6.

load side should s, because of the sistor MC should topology will be

amp circuit is an MC. It provides a he load’s leakage it serves to de-of the switching

f a CMC requires e capacitor [6]. h simpler clamp

the conventional mplified with only single diode (Dc) sed for the novel tarting point with capacitor voltage oltage. Normally, link voltage VDC. s under a fault ored energy in the

the size of the , load inductance, [6].

TROL SCHEME , values of filter red to be zero. considered much Input current and

ectifier circuit, its However, the DC d by the inverter vertheless, in the stor (Rc) is used iode (Dc) in order

waveform. This Rc losses switching

an be assumed as

(14)

And the input current equations a

⎪⎪⎪

⎪⎪⎪

++=

−+=

+=

)3

2tcos(

)3

2tcos(

)tcos(

ooi

ooi

ooi

πϕωθ

πϕωθ

ϕωθ

ow

ov

ou

Ii

Ii

Ii

The quantities Vm and I are thvoltage and output current, ωi andoutput angular frequency, finally φthe phase output current.

A. Switching Principle of the Line SThe switching sequence of the re

six intervals of the input voltage scan be observed from the Fig. 11 thphase input voltage has the higheeach interval. For example, in intervabsolute value. Furthermore, in onsequence is split into two portions voltage. In addition, in each portion

ycle of the rectifier circuit

ng technique of the inverter

are written bellow,

(15)

he maximum peak input d ω are the input and φ is the initial angle of

Side Converter ectifier circuit is based on synchronization angle. It hat, only one of the three st absolute value during

val one Vsa has the highest ne interval the switching

to maintain the DC link n the switching sequence

1082

Figure 13. (a) Naturally sampled sine-triangle PWM; (b) and (d) thyristor firing pulses and their conduction periods; (c) and (e) transistors switching

pulses

of line side transistor is fixed and the VDC is equal to one of the two highest positive line voltages.

Corresponding to Vsc, the highest absolute voltage, the largest positive line voltages are Vsa-Vsb and Vsa-Vsc. Finally, the rectifier switching state in each portion can be determined by following sequence. In portion 1, for the first 30o conduction period Sa and Sb remain turned on with Sc is turned off. Thus the DC side voltage is Vsa-Vsb. The dc link current iDC is equal to isab and –isc, and isa is zero. Again for the next 30o conduction period Sa and Sc are turned on with Sb is turned off, that makes the DC side voltage is equal to Vsa-Vsc. The basic strategy continues according to the phase order as shown in Table I. The detailed switching and PWM scheme for the load side converter can be found in [15].

TABLE I. LINE SIDE SWITCH AND DC VOLTAGE IN EACH INTERVAL

Interval

Portion 1 Portion 2 On Switch VDC On Switch VDC

1 Sb , Sa Vsa –Vsb Sc , Sa Vsa -Vsc 2 Sb , Sc Vsb -Vsc Sa , Sc Vsa -Vsc 3 Sc , Sb Vsb -Vsc Sa , Sb Vsb -Vsa

4 Sc , Sa Vsc -Vsa Sb , Sa Vsb -Vsa

5 Sa , Sc Vsc –Vsa Sb , Sc Vsc –Vsb

6 Sa , Sb Vsa -Vsb Sc , Sb Vsc -Vsb

B. Commutation of the Load Side Converter The commutation technique for the load side converter is

described in this section. For positive iu current, thyristor Stup is first turned on with Stun off. Transistor Su is then switched on and off using an appropriate PWM technique. Within this period, positive current flows through Stup, Su, D2, and Dt2 (cf. Fig. 12(a)). At the end of this positive half cycle; when current reaches zero, Stup is turned off by removing the gate signal from Su. After the recovery period of Stup, Stun is turned on with Stup remaining off. Again, for this negative half cycle Su is turned on and off using pulse width modulation. Also, in this period, negative current flows through D1, Dt1, Su, and Stun (cf. Fig. 12(b)). The basic strategy continues for the rest of the legs according to their phase order.

Similar to the classical VSI, this converter also has six active and two zero switching states. Eight switching states are given in Table II, where state 1 and 8 provide zero and the reaming states provide non-zero.

TABLE II. SWICHING STATES OF THE NOVEL TOPOLOGY

Switching state

Devices Output line voltages Stup+Sup Stup+Sup Stup+Swp Vab Vbc Vca

1 0 0 0 0 0 0 2 0 0 1 0 - VDC VDC 3 0 1 0 -VDC VDC 0 4 0 1 1 - VDC 0 - VDC 5 1 0 0 VDC 0 - VDC 6 1 0 1 VDC - VDC 0 7 1 1 0 0 VDC VDC 8 1 1 1 0 0 0

C. Sine-Trangle PWM control scheme In this section the PWM scheme of the inverter circuit

will be described. Here, naturally sampled sine-triangle PWM (ST-PWM) method was selected to analyze the 6-transistor MC topology. The ST-PWM method uses a single triangular carrier signal to compare against three sinusoidal reference waveforms displaced in time by 120o [18]. This type of modulation is generally termed double-edge naturally sampled modulation.

The equations for phase voltages using ST-PWM are given below,

⎪⎪⎪

⎪⎪⎪

+=+=

−=−=

==

)3

2tcos(MV)3

2tcos(

)3

2tcos(MV)3

2tcos(

tcosMVtcos

oDCo

oDCo

oDCo

πωπω

πωπω

ωω

mswz

msvz

msuz

VV

VV

VV (16)

The fundamental target three-phase line-line output voltages are,

⎪⎪⎪

⎪⎪⎪

+=−=

+=−=

+=−=

)6

cos(3

)6

cos(3

)6

cos(3

πω

πω

πω

tVMVVV

tVMVVV

tVMVVV

oDCsuzswzswu

oDCswzsvzsvw

oDCsvzsuzsuv

(17)

where, Vm = output voltage peak magnitude, M = modulation index = Vm/VDC, and the reference waveforms are defined by considering “z” as a fictitious DC bus center point.

For simplification, it is considered that no delay is given between the conduction periods of the per phase thyristors. That implies, the PWM switching of the transistors will also have no delay between the positive and negative current flow. In addition, the PWM pulses for any leg transistor’ (i.e. Su) are identical for both positive and negative current. Eventually the combination of these devices per phase ensures a typical 3 phase PWM control scheme.

1083

Fig. 13(a) illustrates the ST-PWmethodology by comparing triangular carsinusoidal reference waveforms for phase “switching pulses by ST-PWM method per are shown accordingly in Fig. 13(c) and thyristor firing pulses and their conduction ppictorially in Fig. 13(b) and 13(d). It is to those Fig.s, small blocks represent the firinbigger rectangular blocks denote the conducthyristors.

V. SIMULATION RESULT

Proposed 6-transistor MC topology has investigated utilizing system level sMATLAB/SIMULINK to observe its pfeasibility. The simulation software repswitches and the components as ideal. Simthe novel MC topology are illustrated in System level simulation has been perforutilizing open loop control arrangemenperformance. Simulation parameters taken shown in Table III.

TABLE III. SIMULATION PARAME

Parameter Value ParameterInput line voltage (p-p) 220 V Rectifier swit

frequency Input filter capacitance 250 μF Inverter swit

frequency Input filter inductance 220 μH Modulation

(M) Input filter resistance 0.02 Ω Load inductanceInput-output frequency 60 Hz Load resistance Clamp capacitance (Cc) 1 μF Back EMF (El)

Fig. 14(a) shows the output DC voltage circuit of the converter. From the Fig. it cansix intervals switching technique of the stable DC output voltage. Again in Fig.observe the DC current waveform with the cIt is to be noted that the switching frequencyalgorithm used for the rectifier circuit is 540with improved control scheme, better waachieved.

Fig. 14(c) depicts 3 phase output currenutilizing ST-PWM with switching frequenThe waveforms found through simulatiosinusoidal, however better performance cthrough improved or developed control sche

In Fig. 14(d) output line to line voAlthough the waveforms are slightly distortbe improved by developing or utilizing technique, and control scheme. It is to be nPWM technique cannot utilize the maximumto produce maximum peak fundamental outo the load, whereas the third harmonic injecspace vector PWM (SVPWM) gives fundamental output with better quality

Figure 14. Simulation results: (a) Output DCof the rectifier circuit iDC, (c) three phase o

voltage, (e) Input current

Figure 15. THD of the output current at 4.5 k

WM generation rrier signal to a

“a”. The resulting phase transistors 13(e). Moreover, periods are given be noted that in

ng pulses but the tion period of the

TS been extensively

simulation with performance and presents all the

mulation results of Fig. 14 and 15.

rmed extensively nt to verify its

for analysis are

ETERS

r Value tching 5400 Hz

tching 4500 Hz

index 0.8

e (Ll) 20 μH (Rl) 1 Ω

100 V (p-p)

from the rectifier n be seen that by rectifier ensures

. 14(b) one can condition iDC ≥ 0. y of the ST-PWM 00 Hz. However, aveforms can be

nt of the inverter ncy of 4500 Hz. on are not pure can be achieved eme.

oltage is shown. ted but it can also better switching

noted that the ST-m DC bus voltage utput line voltage cted ST-PWM or 15% enhanced

[15]. Fig. 14(e)

displays the waveforms of the inputV) and phase current (ia = 5 Amp) anphase regardless the load type. Thertype this converter will provide unitybecause of the line side filter, thephase voltage in this figure.

Finally Fig. 15 depicts the THDa 4500 kHz switching frequency. Bcurrent intervals needed to allow

C voltage VDC, and (b) current output current, (d) output line and voltage

kHz switching frequency of the

t phase voltage (Vsa = 220 nd they are found to be in refore, regardless the load y power factor. However, phase current leads the

D of the output current for Because of the slight zero w the thyristors recover

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blocking ability a slight increase in the current THD was obtained compared to the conventional inverter.

VI. CONCLUSION The focal point of this paper is developing several

attractive yet inexpensive alternative topologies at the mid to high power level system. The performance and feasibility has been substantiated with system level simulation with utilizing open loop control scheme. Performance wise it resembles conventional topologies but with certain advantages. Thus, these variations of previous topologies could be a useful alternative solution considering the attractive features provided by these topologies. They are,

• Reduction in expensive power transistor count

• High quality input and output current

• Operations with unity power factor with any load type

• Simple clamp circuit with one diode and one capacitor is required

• Practical implementation of the load side converter could provide greater DC link voltage utilization because it requires significantly less dead time. Unlike the conventional VSI this VSI requires dead times only at zero crossing instance of the output current since it consists of only one transistors per phase.

The 6-transistor and the 9-transistor MC allows uni-directional power flow due their rectifier circuit arrangement. However, its low transistor count makes the 6-transistor MC a very attractive alternative in suitable applications, such as permanent magnet motor load. Nevertheless, rest of the topologies proposed here, are capable of work in bidirectional power flow. The comparison table in terms of transistor switches of conventional DBMC and the novel topology are summarized in Table IV

TABLE IV. REALIZATION EFFORT OF DIFFERENT MC TOPOLOGIES

Converter Type Transistors Novel Topology Transistors

IMC 18 15-transistor IMC 15 SMC 15 12-transistor SMC 12 VSMC 12 9-transistor VSMC 9 ILMC 12 9-transistor ILMC 9 B-ILMC 15 11-transistor B-ILMC 11 USMC 9 6-transistor USMC 6

Furthermore, future topics of research will concern, improvement of the switching technique to improve the output and input voltage waveforms, and their transfer ratio, reduction of the harmonic contents of output waveforms. Switching losses minimization of the topologies. Moreover, utilization of a closed loop control scheme could improve the performance of the topology in all aspects. These converters and the extended multi-level topologies based on these converters can be investigated for a number of future power system applications in both medium and high power systems.

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