Voltage Control of SinglePhase Inverters Commonlyused Techniques SinglePulseWidthModulation

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

Voltage Control of Single-Phase Inverters • Commonly-used Techniques – Single-Pulse-Width-Modulation – Multiple-Pulse-Width-Modulation – Sinusoidal-Pulse-Width-Modulation – Modified-Sinusoidal-Pulse-Width-Modulation – Phase-Displacement Control ECE 442 Power Electronics 1

Single-Pulse-Width-Modulation ECE 442 Power Electronics 2

Single-Pulse-Width-Modulation ECE 442 Power Electronics 2

One Pulse per Half-Cycle Pulse Width Controls the Output Voltage ECE 442 Power Electronics

One Pulse per Half-Cycle Pulse Width Controls the Output Voltage ECE 442 Power Electronics 3

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 ECE 442 Power Electronics 4

Gate Signals and Output ECE 442 Power Electronics 5

Gate Signals and Output ECE 442 Power Electronics 5

rms value of the Output Voltage ECE 442 Power Electronics 6

rms value of the Output Voltage ECE 442 Power Electronics 6

Fourier Series for the Output Voltage ECE 442 Power Electronics 7

Fourier Series for the Output Voltage ECE 442 Power Electronics 7

Times and angles of the intersections Pulse width d (or pulse angle δ) ECE

Times and angles of the intersections Pulse width d (or pulse angle δ) ECE 442 Power Electronics TS = T/2 8

Harmonic Profile ECE 442 Power Electronics 9

Harmonic Profile ECE 442 Power Electronics 9

Multiple-Pulse-Width-Modulation ECE 442 Power Electronics 10

Multiple-Pulse-Width-Modulation ECE 442 Power Electronics 10

Multiple Pulses per Half-Cycle of Output Voltage ECE 442 Power Electronics 11

Multiple Pulses per Half-Cycle of Output Voltage ECE 442 Power Electronics 11

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 ECE 442 Power Electronics 12

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 ECE 442 Power Electronics 13

rms Value of the Output Voltage ECE 442 Power Electronics 14

rms Value of the Output Voltage ECE 442 Power Electronics 14

Fourier Series of the Output Voltage ECE 442 Power Electronics 15

Fourier Series of the Output Voltage ECE 442 Power Electronics 15

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) ECE 442 Power Electronics TS = T/2 p 16

Harmonic Profile ECE 442 Power Electronics 17

Harmonic Profile ECE 442 Power Electronics 17