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Modeling and Control of Single-Phase Rectifiers and Inverters Course
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Modeling and Control of Single-Phase Rectifiers and Inverters Course

Master the full design cycle of single-phase rectifiers and inverters, from semiconductor fundamentals to closed-loop grid-connected control. This course delivers rigorous modelling, PWM strategies, and feedback design techniques used by practising power electronics engineers. Build the analytical and practical skills needed to design, simulate, and commission real converter systems.

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What you will learn:

  • Analyse half-wave, full-wave, and thyristor-controlled rectifier topologies under varied load conditions.

  • Develop state-space averaged and small-signal models to derive converter transfer functions.

  • Design voltage and current feedback controllers that meet bandwidth and phase margin specifications.

  • Apply sinusoidal, space-vector, and selective harmonic elimination PWM strategies to single-phase inverters.

  • Implement grid synchronisation, active power control, and anti-islanding detection for grid-tied inverters.

  • Evaluate wide-bandgap SiC and GaN devices for higher efficiency and power density converter designs.

How you study practically Modeling and Control of Single-Phase Rectifiers and Inverters Course

How you practise Modeling and Control of Single-Phase Rectifiers and Inverters Course

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Course content

8 Chapters • 37 LessonsDuration between 4 and 360 hours (you decide)

Chapter 1See details

Foundations of Power Electronics

  • Lesson 1 • Review of Circuit Analysis Essentials

    Covers Kirchhoff's laws, phasor analysis, and Thevenin/Norton equivalents applied to AC-DC circuits. Establishes the mathematical toolkit used throughout the course.

  • Lesson 2 • Semiconductor Switches in Power Circuits

    Introduces diodes, thyristors, MOSFETs, and IGBTs as ideal and practical switches. Connects device behaviour to converter topology selection.

  • Lesson 3 • Power Quality Metrics and Standards

    Defines THD, power factor, crest factor, and harmonic distortion indices for single-phase systems. Provides the evaluation criteria applied in later converter design chapters.

  • Lesson 4 • Passive Components in Power Converters

    Examines inductors, capacitors, and transformers under high-frequency switching conditions. Highlights parasitic effects that influence converter performance.

Chapter 2See details

Single-Phase Uncontrolled Rectifiers

  • Lesson 1 • Capacitive Filter Design

    Analyses the effect of a DC-side filter capacitor on output ripple and input current distortion. Quantifies the trade-off between ripple reduction and harmonic injection.

  • Lesson 2 • Full-Wave Bridge Rectifier Analysis

    Examines the four-diode bridge topology for both resistive and inductive loads. Connects bridge operation to improved ripple and higher average output voltage.

  • Lesson 3 • Transformer Utilisation and Ratings

    Evaluates transformer utilisation factor and secondary current waveform distortion in rectifier circuits. Links transformer sizing to converter efficiency and cost.

  • Lesson 4 • Half-Wave Rectifier Operation

    Derives output voltage and current waveforms for resistive and RL loads with a single diode. Introduces freewheeling diode action and its effect on current continuity.

Chapter 3See details

Single-Phase Controlled Rectifiers

  • Lesson 1 • Fully Controlled Bridge Rectifier

    Derives output voltage and current for the four-thyristor bridge across continuous and discontinuous conduction modes. Addresses inverter mode operation for energy regeneration.

  • Lesson 2 • Firing Circuit Design and Synchronisation

    Covers zero-crossing detection, ramp-comparator firing circuits, and digital pulse generation for thyristor control. Connects synchronisation accuracy to output voltage regulation.

  • Lesson 3 • Thyristor Firing Angle Fundamentals

    Defines firing angle alpha and derives output voltage as a function of alpha for resistive loads. Establishes the control variable used in all subsequent controlled rectifier analysis.

  • Lesson 4 • Performance Metrics and Load Regulation

    Evaluates voltage regulation, efficiency, and form factor across the firing angle range. Provides design criteria for selecting converter topology and control strategy.

  • Lesson 5 • Half-Controlled Bridge Rectifier

    Analyses the semi-converter with two thyristors and two diodes, including freewheeling action. Compares performance with the fully controlled bridge in terms of power factor.

Chapter 4See details

Average and Small-Signal Modelling

  • Lesson 1 • Input Impedance and Source Interaction

    Models the rectifier input impedance and analyses interaction with the AC source impedance. Identifies conditions for instability caused by negative incremental input resistance.

  • Lesson 2 • State-Space Averaging Technique

    Introduces the averaging method to eliminate switching harmonics and obtain a continuous-time model. Applies the technique to the single-phase rectifier with an LC output filter.

  • Lesson 3 • Transfer Function Derivation

    Derives Bode plots of control-to-output and audio susceptibility transfer functions. Connects frequency-domain characteristics to stability and disturbance rejection requirements.

  • Lesson 4 • Small-Signal Linearisation

    Perturbs the averaged model around a DC operating point to obtain linearised small-signal equations. Enables transfer function derivation for control loop design.

Chapter 5See details

Feedback Control of Rectifiers

  • Lesson 1 • Lead-Lag and Type-II Compensators

    Designs lead-lag networks and type-II compensators for improved phase margin and low-frequency gain. Addresses practical implementation in analogue and digital circuits.

  • Lesson 2 • PID Compensator Design

    Applies frequency-domain loop-shaping to design PID compensators meeting bandwidth and phase margin targets. Connects Bode plot analysis to time-domain transient performance.

  • Lesson 3 • Digital Control Implementation

    Covers sampling, quantisation, computational delay, and discrete-time compensator design for microcontroller-based rectifier control. Links digital effects to achievable bandwidth.

  • Lesson 4 • Closed-Loop Performance Verification

    Validates controller designs through simulation and hardware-in-the-loop testing against load step and input disturbance specifications. Confirms stability margins under parameter variation.

  • Lesson 5 • Control Loop Architecture

    Describes single-loop voltage control and cascaded voltage-current control structures for rectifiers. Establishes the block diagram framework used for compensator design.

Chapter 6See details

Single-Phase Inverter Topologies

  • Lesson 1 • Full-Bridge Inverter Operation

    Analyses the four-switch H-bridge producing bipolar and unipolar output voltage waveforms. Compares switching losses and harmonic content between the two modulation schemes.

  • Lesson 2 • Output Filter Design for Inverters

    Designs LC and LCL output filters to attenuate switching harmonics and produce a sinusoidal output voltage. Addresses filter resonance damping and its impact on control bandwidth.

  • Lesson 3 • Dead-Time Compensation Techniques

    Quantifies dead-time-induced voltage error and presents feedforward and feedback compensation methods. Connects compensation accuracy to output voltage THD reduction.

  • Lesson 4 • Multilevel Inverter Concepts

    Introduces the neutral-point-clamped and cascaded H-bridge multilevel topologies for reduced harmonic content. Provides a foundation for advanced modulation strategies in later chapters.

  • Lesson 5 • Half-Bridge Inverter Operation

    Derives output voltage waveform and device stress for the two-switch half-bridge with a split DC bus. Introduces dead time and its effect on output voltage distortion.

Chapter 7See details

Pulse-Width Modulation Strategies

  • Lesson 1 • Random and Spread-Spectrum PWM

    Introduces randomised carrier frequency and phase techniques to spread harmonic energy and reduce acoustic noise. Evaluates EMI and filter design implications.

  • Lesson 2 • Selective Harmonic Elimination PWM

    Formulates and solves nonlinear equations to eliminate specific low-order harmonics by optimising switching angles. Demonstrates superior harmonic performance at low switching frequencies.

  • Lesson 3 • Space-Vector PWM for Single-Phase Systems

    Adapts the space-vector concept to single-phase inverters using a fictitious two-phase representation. Compares SV-PWM harmonic performance with SPWM.

  • Lesson 4 • Sinusoidal PWM Fundamentals

    Derives switching instants by comparing a sinusoidal reference with a triangular carrier and analyses the resulting harmonic spectrum. Establishes the baseline modulation method for the chapter.

  • Lesson 5 • Unipolar and Bipolar SPWM Comparison

    Compares harmonic spectra, switching losses, and filter requirements for unipolar and bipolar SPWM in the full-bridge inverter. Guides topology and modulation co-selection.

Chapter 8See details

Grid-Connected Inverter Control

  • Lesson 1 • Current Control in the Stationary Frame

    Implements proportional-resonant and repetitive controllers to achieve zero steady-state error for sinusoidal current references. Connects resonant controller tuning to harmonic rejection capability.

  • Lesson 2 • Anti-Islanding Detection Methods

    Presents passive and active anti-islanding schemes required by grid interconnection standards. Evaluates detection speed, non-detection zone, and power quality impact of each method.

  • Lesson 3 • Active and Reactive Power Control

    Derives instantaneous power expressions and designs outer power control loops for unity and variable power factor operation. Links power references to current reference generation.

  • Lesson 4 • Grid Synchronisation Techniques

    Covers zero-crossing detection, phase-locked loops, and second-order generalised integrators for single-phase grid synchronisation. Accurate synchronisation is prerequisite to all grid-tied control strategies.

  • Lesson 5 • Low-Voltage Ride-Through Capability

    Designs control modifications enabling the inverter to remain connected and inject reactive current during grid voltage sags. Addresses current limiting and DC bus overvoltage during fault events.

Certification

Your valid completion certificate

This course is for you:

  • Electrical engineering students ready to specialise in power conversion systems.

  • Embedded systems engineers expanding into power electronics hardware design.

  • Renewable energy technicians seeking deeper inverter and rectifier theory.

  • Recent graduates bridging the gap between coursework and industry practice.

  • Automation engineers who need to integrate controlled rectifiers into drive systems.

  • Electronics hobbyists serious about building grid-tied or off-grid inverter projects.

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