Lecture 3 EE 4109 Voltage Control of Singlephase

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Lecture 3 EE 4109 Voltage Control of Single-phase Inverters Reference Book: Power Electronics: Circuits,

Lecture 3 EE 4109 Voltage Control of Single-phase Inverters Reference Book: Power Electronics: Circuits, Devices, and Applications by Muhammad H. Rashid 2/23/2021 Department of EEE, KUET 1

This lecture is for Learning Outcome 3 (LO 3): At the end of the

This lecture is for Learning Outcome 3 (LO 3): At the end of the course students will be able to identify and design DC-AC converters (inverters) and their gate driver circuits 2/23/2021 Department of EEE, KUET 2

Voltage Control of Single-Phase Inverters q Commonly-used Techniques – Single-Pulse-Width-Modulation – Multiple-Pulse-Width-Modulation – Sinusoidal-Pulse-Width-Modulation

Voltage Control of Single-Phase Inverters q Commonly-used Techniques – Single-Pulse-Width-Modulation – Multiple-Pulse-Width-Modulation – Sinusoidal-Pulse-Width-Modulation – Modified-Sinusoidal-Pulse-Width-Modulation – Phase-Displacement Control 2/23/2021 Department of EEE, KUET 3

Single-Pulse-Width-Modulation 2/23/2021 Department of EEE, KUET 4

Single-Pulse-Width-Modulation 2/23/2021 Department of EEE, KUET 4

One Pulse per Half-Cycle Pulse Width Controls the Output Voltage 2/23/2021 Department of EEE,

One Pulse per Half-Cycle Pulse Width Controls the Output Voltage 2/23/2021 Department of EEE, KUET 5

Carrier and Reference Signals Gate Pulse • Compare the Reference Signal with the Carrier

Carrier and Reference Signals Gate Pulse • Compare the Reference Signal with the Carrier • Frequency of the Reference Signal determines the frequency of the Output Voltage • Modulation Index = M = Ar/Ac 2/23/2021 Department of EEE, KUET 6

Gate Signals and Output 2/23/2021 Department of EEE, KUET 7

Gate Signals and Output 2/23/2021 Department of EEE, KUET 7

rms value of the Output Voltage 2/23/2021 Department of EEE, KUET 8

rms value of the Output Voltage 2/23/2021 Department of EEE, KUET 8

Fourier Series for the Output Voltage 2/23/2021 Department of EEE, KUET 9

Fourier Series for the Output Voltage 2/23/2021 Department of EEE, KUET 9

Times and angles of the intersections Pulse width d (or pulse angle δ) 2/23/2021

Times and angles of the intersections Pulse width d (or pulse angle δ) 2/23/2021 Department of EEE, KUET TS = T/2 10

Harmonic Profile 2/23/2021 Department of EEE, KUET 11

Harmonic Profile 2/23/2021 Department of EEE, KUET 11

Multiple-Pulse-Width-Modulation 2/23/2021 Department of EEE, KUET 12

Multiple-Pulse-Width-Modulation 2/23/2021 Department of EEE, KUET 12

Multiple Pulses per Half-Cycle of Output Voltage 2/23/2021 Department of EEE, KUET 13

Multiple Pulses per Half-Cycle of Output Voltage 2/23/2021 Department of EEE, KUET 13

Gate Signal Generation • Compare the Reference Signal with the Carrier • Frequency of

Gate Signal Generation • Compare the Reference Signal with the Carrier • Frequency of the Reference Signal determines the Output Voltage Frequency • Frequency of the Carrier determines the number of pulses per half-cycle • Modulation Index controls the Output Voltage 2/23/2021 Department of EEE, KUET 14

Gate Signals and Output Voltage Number of pulses per half cycle = p =

Gate Signals and Output Voltage Number of pulses per half cycle = p = fc/2 fo = mf /2 where mf = frequency modulation ratio 2/23/2021 Department of EEE, KUET 15

rms Value of the Output Voltage 2/23/2021 Department of EEE, KUET 16

rms Value of the Output Voltage 2/23/2021 Department of EEE, KUET 16

Fourier Series of the Output Voltage 2/23/2021 Department of EEE, KUET 17

Fourier Series of the Output Voltage 2/23/2021 Department of EEE, KUET 17

The times and angles of the intersections The pulse width d (or pulse angle

The times and angles of the intersections The pulse width d (or pulse angle δ) 2/23/2021 Department of EEE, KUET TS = T/2 p 18

Harmonic Profile 2/23/2021 Department of EEE, KUET 19

Harmonic Profile 2/23/2021 Department of EEE, KUET 19

End of Lecture 3 Next Class: Sinusoidal Pulse Width Modulation 2/23/2021 Department of EEE,

End of Lecture 3 Next Class: Sinusoidal Pulse Width Modulation 2/23/2021 Department of EEE, KUET 20

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