Abstract
The pulse width modulation (PWM) technique is a method to control the modern power electronics circuits. The basic idea is to control the duty cycles of the switches in such a way that a load sees a controllable average voltage. In this paper, for single-phase and three-phase inverters, a new modulation method based on PWM technique is proposed. The proposed method can generate the desired output voltages from regulated and unregulated input voltage. In three-phase inverters, using the proposed control method, it is possible to produce the desired balanced and unbalanced output voltages. Low value of total harmonics distortion and elimination of low-order harmonics are other advantages of the proposed control method. The simulation and experimental results of single-phase and three-phase inverters are used to prove the correctness operation of proposed control method in generation of desired output voltages.
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Abbreviations
- E off,k :
-
The turn-off loss of the switch k
- E off,ki :
-
The energy loss of the switch k during the ith turning-off
- E on,k :
-
The turn-on loss of the switch k
- E on,ki :
-
The energy loss of the switch k during the ith turning-on
- f i :
-
Input frequency
- f s :
-
Switching frequency
- f o :
-
Output frequency
- i i :
-
Input current
- I :
-
The current through the switch before turning off
- I dc :
-
Average of the input current
- I′:
-
The current through the switch after turning on
- i a , i b and i c :
-
Output currents
- i o :
-
Instantaneous output current
- I m :
-
Peak value of the fundamental component of the output current
- L :
-
Inductance of the load
- m :
-
Switching pattern
- max [−v dc (t)]:
-
Input voltage lower band
- min [v dc (t)]:
-
Input voltage upper band
- N on,k :
-
The number of turning on and off the switch k during a fundamental cycle
- N off,k :
-
The number of turning on and off the switch k during a fundamental cycle
- P c :
-
Conduction Loss of the inverter
- P in :
-
The input power of the inverter
- P loss :
-
The total loss of the inverter
- P out :
-
The output power of the inverter
- P sw :
-
The switching power loss
- R :
-
Resistance of the load
- R D :
-
The equivalent resistance of the diode
- R T :
-
The equivalent resistance of the transistor
- S k :
-
kth switch
- \({t_k^i }\) :
-
kth time interval in ith sequence
- t off :
-
The turn-off time of the switch
- t on :
-
The turn-on time of the switch
- T s :
-
Sampling time
- v a , v b and v c :
-
Output phases voltages
- v ab , v bc and v ca :
-
Output lines voltages
- v dc :
-
Instantaneous input voltage
- v o (t):
-
Instantaneous output voltage
- V am :
-
Peak value of the output phase voltage v a
- V bm :
-
Peak value of the output phase voltage v b
- V cm :
-
Peak value of the output phase voltage v c
- V dc :
-
Value of regulated dc voltage
- V D :
-
The forward voltage drop on the diode
- V m :
-
Peak value of output voltage
- V r :
-
Peak value of the input voltage ripple
- V sw,k :
-
The off-state voltage on the switch k
- V T :
-
The forward voltage drop on the transistor
- x(t):
-
Number of conducting transistors at instant t
- y(t):
-
Number of conducting diodes at instant t
- t :
-
Time
- β :
-
A constant related to the specification of the transistor
- ϕ o :
-
Phase difference between the output voltage and current
- η :
-
The efficiency of the inverter
- λ b :
-
Unbalanced coefficient of the phase b
- λ c :
-
Unbalanced coefficient of the phase c
- ω o :
-
Angular frequency of output voltage
- ω r :
-
Angular frequency of ripple of input voltage
References
Skvarenina, T.L.: The Power Electronics Handbook. CRC Press, Boca Raton (2002)
Xue Y., Chang L., Kajer S.B., Bordonau J., Shimizu T.: Topologies of single-phase inverters for small distributed power generators: an overview. IEEE Trans. Power Electron. 19(5), 1305–1314 (2004)
Babaei, E.; Mahaei, M.: The effect of load power factor and conduction angle in output voltage of the three phase six-switch inverters. In: Proceedings of ICEMS, Incheon, Korea, pp. 162–167 (2010)
Xue, Y.; Chang, L.; Song, P.: Recent developments in topologies of single-phase buck-boost inverters for small distributed power generators: an overview. In Proc. IPEMC, vol. 3, pp. 1118–1123 (2004)
Zhu M., Yu K., Luo F.L.: Switched inductor Z-source inverter. IEEE Trans. Power Electron. 25(8), 2150–2158 (2010)
Loh P.C., Gao F., Blaabjerg F.: Embedded EZ-source inverters. IEEE Trans. Ind. Appl. 46(1), 256–267 (2010)
Dehghan S.M., Mohamadian M., Yazdian A., Ashrafzadeh F.: A dual-input-dual-output Z-source inverter. IEEE Trans. Power Electron. 25(2), 360–368 (2010)
Sun, P.; Liu, C.; Lai, J.S.; Chen, C.L.; Kees, N.: Three-phase dual-buck inverter with unified pulse width modulation. IEEE Trans. Power Electron. 27(3), 1159–1167 (2012)
Zhou K., Wang D.: Relationship between space-vector modulation and three-phase carrier-based PWM: a comprehensive analysis. IEEE Trans. Ind. Electron. 49(1), 186–196 (2002)
Holtz J.: Pulse width modulation—a survey. IEEE Trans. Ind. Electron. 39(5), 410–420 (1992)
Abrishamifar, A.; Ale Ahmad, A.; Mohamadian, M.: Fixed switching frequency sliding mode control for single-phase unipolar inverters. IEEE Trans. Power Electron. 27(5), 2507–2514 (2012)
Farhadi Kangarlu M., Babaei E.: A generalized cascaded multilevel inverter using series connection of submultilevel inverters. IEEE Trans. Power Electron. 28(2), 625–636 (2013)
Babaei, E.; Hosseini, S.H.; Gharehpetian, G.B.: Analytical and experimental assessment of losses in matrix converters. J. Fac. Eng. (University of Tabriz) 36(1), 1–11 (2008) (in Persian)
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Babaei, E. A New Pulse Width Modulation Technique for Inverters. Arab J Sci Eng 39, 6235–6247 (2014). https://doi.org/10.1007/s13369-014-1215-3
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DOI: https://doi.org/10.1007/s13369-014-1215-3