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Fuzzy MPPT for Wind Energy Conversion System

👋 Introduction

Fuzzy Logic–based Maximum Power Point Tracking (MPPT) control for a Wind Energy Conversion System (WECS) implemented in MATLAB/Simulink. The objective of this model is to extract maximum available power from the wind turbine under varying wind speed conditions using an intelligent fuzzy MPPT controller.

Fuzzy MPPT For Wind Energy Conversion System in MATLAB
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🧩 Overall System Configuration

The proposed wind energy system consists of the following main components:

  • 🌪️ Wind Turbine

  • ⚙️ Permanent Magnet Synchronous Generator (PMSG)

  • 🔄 Three-phase Rectifier

  • ⬆️ DC–DC Boost Converter

  • 🧠 Fuzzy MPPT Controller

  • 🔋 DC Load

The boost converter acts as the power-conditioning unit and is controlled by the fuzzy MPPT algorithm.

🌪️ Wind Turbine Modeling

  • 🔋 Rated power: 3 kW

  • 🌬️ Base wind speed: 12 m/s

The wind turbine produces mechanical torque based on wind speed.✔️ The turbine torque is converted from per-unit (p.u.) to actual torque and supplied to the PMSG.✔️ The generator speed is fed back to the wind turbine model in per-unit form, ensuring proper turbine–generator interaction.

⚙️ Permanent Magnet Synchronous Generator (PMSG)

  • Converts mechanical energy from the wind turbine into electrical energy

  • Generator speed feedback ensures correct turbine operating point

  • Electrical output depends on wind speed and turbine torque

The generator output voltage and current vary dynamically with wind speed.

🔄 Rectifier Stage

  • Converts three-phase AC output of the PMSG into DC

  • Rectifier voltage and current are used as inputs to the fuzzy MPPT controller

  • Typical rectifier voltage range: 200–300 V

⬆️ Boost Converter

The boost converter is used to:

  • 🔋 Step up rectifier voltage to the required DC load voltage

  • 🎯 Control the operating point of the wind turbine–generator system

Design targets:

  • 🔌 Input voltage: 200–300 V

  • 🔋 Output (DC load) voltage: ≈ 400 V

  • ⚡ Power rating: 3 kW

Inductor and capacitor values are selected based on this power rating and switching frequency.

📈 Wind Turbine Power Characteristics

  • X-axis: Generator speed (p.u.)

  • Y-axis: Wind turbine power (p.u.)

📌 For each wind speed, there exists a unique peak power point.

  • At 12 m/s, power reaches nearly 1 p.u. (maximum)

  • At lower wind speeds, peak power decreases

❌ Operating away from this peak point results in reduced power output✔️ Hence, MPPT is required to ensure maximum energy extraction

🧠 Why Fuzzy MPPT?

Conventional MPPT techniques may struggle with nonlinear and uncertain wind dynamics.

✔️ Fuzzy MPPT advantages:

  • Handles nonlinear characteristics effectively

  • Does not require an accurate mathematical model

  • Provides smooth and fast tracking

  • Robust against wind speed variations

🔍 Fuzzy MPPT Input Variables

The fuzzy MPPT uses rectifier-side measurements:

  • ⚡ Rectifier voltage (V)

  • 🔌 Rectifier current (I)

From these, the following signals are derived:

  • 📐 ΔP = P(n) − P(n−1)

  • 📐 ΔV = V(n) − V(n−1)

  • 📉 Slope (E(k)) = ΔP / ΔV

  • 🔄 Change in slope (ΔE) = E(k) − E(k−1)

These values represent:

  • The slope of the power–voltage characteristic

  • The rate of change of the slope

🧠 Fuzzy Logic Controller Structure

🔹 Inputs

  • E(k) → Slope of P–V characteristic

  • ΔE(k) → Change in slope

🔹 Output

  • 🎛️ Duty cycle (D) of the boost converter

🔹 Fuzzy Rule Base

  • 🧮 49 fuzzy rules are defined

  • Rules relate slope and change in slope to duty cycle adjustment

📌 Example behavior:

  • When slope ≈ 0 and change in slope ≈ 0 → system is near MPP

  • Duty cycle maintained at an optimal value

  • When slope deviates → duty cycle adjusted accordingly

This ensures operation at the maximum power point.

🎛️ PWM Generation and Converter Control

  • Duty cycle from fuzzy MPPT is fed to a PWM generator

  • PWM pulses control the MOSFET of the boost converter

  • Converter dynamically adjusts input impedance seen by the generator

✔️ This enables continuous maximum power extraction from the wind turbine.

🌬️ Wind Speed Variation Test

To validate system performance:

  • ⏱️ 0–2 seconds: Wind speed = 12 m/s

  • ⏱️ After 2 seconds: Wind speed = 10.8 m/s

The fuzzy MPPT controller adapts automatically to this change.

📊 Simulation Results

⚙️ Generator and Rectifier

  • Generator voltage ≈ 250 V

  • Generator current ≈ 12–13 A

  • Rectifier voltage ≈ 250 V

🔋 DC Load Side

  • DC load voltage maintained at ≈ 400 V

  • Boost converter current ≈ 7 A at rated speed

⚡ Power Extraction

  • At 12 m/s:

    • Extracted power ≈ 3 kW

  • At 10.8 m/s:

    • Extracted power ≈ 2.2 kW

✔️ Power reduction matches wind speed reduction✔️ Fuzzy MPPT consistently tracks maximum available power

⭐ Key Advantages of Fuzzy MPPT in WECS

  • 🧠 Intelligent and adaptive control

  • 🌬️ Effective under variable wind speeds

  • 📉 Reduced power oscillations

  • ⚡ Improved energy capture

  • 🔧 Suitable for nonlinear wind systems

🏁 Conclusion

This blog presented a detailed explanation of a Fuzzy Logic–based MPPT control for a wind energy conversion system implemented in MATLAB/Simulink. By using rectifier voltage and current to estimate the slope of the power characteristic, the fuzzy MPPT effectively tracks the maximum power point under changing wind speed conditions, ensuring optimal power extraction and stable DC output.

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