Frequency Response-Based Design of PI and PID Controllers for a Quadratic Boost Converter

Engineering notes

Engineering notes will be added by the Power for Solar editorial team.

Chinese explanation / 中文解读

中文解读待补充：本站会优先为光伏效率、钙钛矿太阳能电池、储能技术、太阳能热利用、BIPV、并网技术等高价值论文补充中文说明。

Original abstract

Quadratic Boost Converters (QBCs) may produce high voltage gains without excessive duty cycles, making them ideal for high step-up DC-DC conversion. However, QBCs' multistage construction and high-order dynamics make voltage regulation difficult, especially under input voltage and load changes. A systematic, frequency-response-based design and comparison of PI and PID controllers for a QBC is presented in this work. The work starts with QBC hardware parameter design, then state-space modeling, and small-signal duty-to-output transfer function formulation. PI and PID controllers are tuned using Bode-plot analysis to establish a target phase margin, gain crossover frequency, and predicted transient response. With a 33 kHz switching frequency, the converter steps up 40 V to 400 V at 400 W. MATLAB simulates open-loop, closed-loop, and PI and PID controller operations. The analysis covers rise time, settling time, overshoot, steady-state error, gain/phase margins, and input voltage step variations. Both PI and PID controllers stabilize the QBC and meet transient-response criteria. The PID controller has a shorter rising time (0.456 s compared to 0.7509 s), faster settling (0.808 s versus 1.293 s), and reduced steady-state error (0.007% versus 0.08%) than the PI controller, with almost no overshoot for a 400 V reference. PID controllers dampen and recover faster from input-voltage perturbations. These findings demonstrate that frequency-response-based PID design can regulate high-order QBCs efficiently.

Links and sources

• PDF from original source

Comments