Power Electronics • DC-DC Converters

Boost Converter (Step-Up DC-DC Converter)

Analysis of right-half-plane (RHP) zeros, continuous conduction mode inductor sizing, and closed-loop PI voltage control on TI C2000.

⚡ Power Electronics 🎯 Intermediate / Advanced ⏱️ 10 min study
DC-DC CONVERTERS Peer-Reviewed & Lab-Validated

Boost Converter (Step-Up DC-DC Converter)

Analysis of right-half-plane (RHP) zeros, continuous conduction mode inductor sizing, and closed-loop PI voltage control on TI C2000.

AR
Antu Roy & Bapi Biswas Lead Power Electronics & DSP Engineer
Executive Technical Summary
A Boost Converter steps up an unregulated DC input voltage $V_{in}$ to a higher regulated output voltage $V_o = \frac{V_{in}}{1 - D}$. The transfer function exhibits an RHP zero $\omega_z = \frac{R (1-D)^2}{L}$ that limits closed-loop control bandwidth.

1. Introduction & Step-Up Principle

A Boost Converter (step-up switched-mode power supply) steps up an unregulated DC input voltage $V_{in}$ to a higher regulated output voltage $V_o$ with minimal energy losses.

Key Voltage Relationship: The output voltage ratio is given by:
$$V_o = \frac{V_{in}}{1 - D} \quad \text{where } 0 \le D < 1$$

2. Right-Half-Plane (RHP) Zero Analysis

In continuous conduction mode (CCM), the boost converter control-to-output transfer function $G_{vd}(s)$ contains a non-minimum phase Right-Half-Plane (RHP) zero located at:

$$\omega_z = \frac{R (1 - D)^2}{L}$$

This RHP zero adds a $90^\circ$ phase lag while increasing gain, restricting the maximum achievable closed-loop crossover frequency $f_c$ to less than $\frac{1}{4}$ of $\omega_z$.

Interactive Converter Sizing Calculator

Use our live design calculator to determine optimal inductor ($L$), output capacitor ($C$), and critical inductance ($L_{crit}$) values for your power specs:

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Real-Time Power Stage Sizing Engine

Continuous Conduction Mode (CCM) Model
Duty Cycle ($D$) 0.250 (25.0%)
Min Inductance ($L$) 30.00 µH
Filter Capacitance ($C$) 75.00 µF
Critical Inductance ($L_{crit}$) 4.50 µH