Output Voltage for Buck-Boost Regulator (DCM) Calculator

Formula Used:

\[ V_o = \frac{-V_i^2 \times D^2 \times t_c}{2 \times L_x \times I_o} \]

Input Voltage (Vi):

Duty Cycle (D):

Time Commutation (tc):

Critical Inductance (Lx):

Output Current (Io):

Output Voltage (Vo):

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1. What is the Buck-Boost Regulator (DCM) Output Voltage Formula?

The formula calculates the output voltage for a Buck-Boost regulator operating in Discontinuous Conduction Mode (DCM). It considers input voltage, duty cycle, commutation time, critical inductance, and output current to determine the regulated output voltage.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_o = \frac{-V_i^2 \times D^2 \times t_c}{2 \times L_x \times I_o} \]

Where:

\( V_i \) — Input Voltage (V)
\( D \) — Duty Cycle (-)
\( t_c \) — Time Commutation (s)
\( L_x \) — Critical Inductance (H)
\( I_o \) — Output Current (A)

Explanation: The formula accounts for the energy transfer characteristics in DCM operation, where the inductor current falls to zero during each switching cycle.

3. Importance of Output Voltage Calculation

Details: Accurate output voltage calculation is crucial for designing and analyzing Buck-Boost converters in DCM, ensuring proper regulation and performance in power supply applications.

4. Using the Calculator

Tips: Enter all values in appropriate units. Ensure input voltage, duty cycle, time commutation, critical inductance, and output current are positive values for valid calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is Discontinuous Conduction Mode (DCM)?
A: DCM is an operating mode where the inductor current falls to zero during each switching cycle, unlike Continuous Conduction Mode (CCM) where current never reaches zero.

Q2: When does a Buck-Boost converter operate in DCM?
A: A Buck-Boost converter operates in DCM when the load current is below a certain critical value, or when the inductance is below the critical inductance value.

Q3: What are the advantages of DCM operation?
A: DCM offers faster transient response, inherent diode reverse recovery, and simpler control compared to CCM, but typically has higher peak currents and output ripple.

Q4: How does duty cycle affect output voltage in DCM?
A: In DCM, the output voltage depends on both duty cycle and load current, unlike CCM where output voltage is primarily determined by duty cycle alone.

Q5: What is critical inductance in Buck-Boost converters?
A: Critical inductance is the minimum inductance value required to maintain continuous conduction at a given load current and switching frequency.