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Average Model for PWM switch. Averaging Circuit Equations of PWM Switch. where. Averaging Power Stage Dynamics. Average Model for PWM Switch. Continuous Duty Ratio. Averaging Power Stage Dynamics. Continuous Duty Ratio. Averaging Power Stage Dynamics. Buck Converter Example.
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Average Model for PWM switch • Averaging Circuit Equations of PWM Switch where AveragingPower Stage Dynamics • Average Model for PWM Switch
Continuous Duty Ratio AveragingPower Stage Dynamics
Continuous Duty Ratio AveragingPower Stage Dynamics
Buck Converter Example AveragingPower Stage Dynamics
Implication of Average Model AveragingPower Stage Dynamics
Average Model for Three Basic Converters AveragingPower Stage Dynamics
Linearization of Nonlinear Function Linearizing Averaged Power Stage Dynamics
Linearization of simple Algebraic Equation • For simple algebraic nonlinear equations, the small-signal model can be found by • 1) Evaluating the nonlinear equation with the variables consisting of the dc and • ac components • 2) Equating only the ac component of the input and output variables in the • resulting expression. • Example: small-signal gain of y=x2 evaluated at x=2 Linearizing Averaged Power Stage Dynamics
Small-signal Model for PWM Switch Model • Small-signal modeling linearizing Averaged Power Stage Dynamics
Models of PWM Switch linearizing Averaged Power Stage Dynamics
Small-signal Model for Three Basic Converters linearizing Averaged Power Stage Dynamics
S-domain Representation of Small-signal Model linearizing Averaged Power Stage Dynamics
Input-to-Output Frequency Response Frequency Response of Converter Power Stage
Duty ratio-to-Output Frequency Response Frequency Response of Converter Power Stage
Bode Plot Representation of Frequency Response Frequency Response of Converter Power Stage
s-domain Small-signal Model • Input-to-Output Transfer Function: Frequency Response of Converter Power Stage • Input-to-Output Frequency Response
Buck Converter Example Frequency Response of Converter Power Stage
Small-signal Gain of PWM Block Small-Signal Gain of PWM Block • Control Law • Approximation • Linearization
Transfer Function of Voltage Feedback Circuit Small-Signal Gain of PWM Block
General Circuit Diagram for Three Basic PWM Converters Small-Signal Gain of PWM Block
Small-signal Model for Three Basic Converters Small-Signal Models for PWM Dc-to-Dc Converters
Block Diagram Representation Small-Signal Models for PWM Dc-to-Dc Converters