Ultimate Power Electronics and Electrical Protection Bundle

Explore how rectifiers perform rectification, converting alternating current to direct current with uni directional DC, illustrated by a full wave rectifier example.

Explore single-phase half-wave uncontrolled rectifiers with an R load, where the diode conducts on the positive half-cycle, output follows the input, and Vout average is Vm/pi.

Explore the ripple factor of a half-wave rectifier, the ratio of the ac component to dc, and how parallel capacitors in the load reduce pulsating dc ripple.

Define efficiency as the DC output power over AC input power, including the diode forward resistance and the load; the half-wave rectifier achieves about 0.4053 (40.53%) efficiency.

Examine a half-wave rectifier with an rl load and freewheeling diode, showing how a commutating diode affects dc output and enables continuous versus discontinuous current.

Determine the average load voltage as Vmax/pi for a 2 ohm resistor and 25 mh inductor; the average current equals that voltage over R, and Vrms follows impedance Z.

Derive current expression and solve beta for a half wave rectifier with rl load. Compute rms current, load power, and power factor for a 120 V, 60 Hz RL circuit.

Analyze back emf in a thyristor circuit with a 60° firing angle to derive average load voltage and current and power for a 1-ohm resistor with a 20 V pack.

Analyze a two-thyristor fully controlled rectifier with a central tab transformer, evaluate mean load voltage at firing angles 0,30,60,90, and determine peak reverse and forward thyristor ratings for 15 A.

Analyze a half-wave rectifier with a highly inductive load and constant output current, and determine the diode current's rms and average for six and three diodes using multiphase rules.

Analyze a three-phase fully controlled bridge rectifier feeding a 10 A, highly inductive load with a 200 V back emf. Derive firing angle and the 0.53 lagging input power factor.

Examine switching techniques in AC choppers, including phase-angle control with firing angle alpha to vary output and rms; compare pwm-based modulation and integral cycle control, noting noise and harmonic implications.

Analyze an ac chopper with a pure inductive load, derive the current waveform from alpha to beta and alpha+pi to beta+pi, prove four equal areas and extinction angle relationships.

Explore how an ac chopper with an rl series load controls output by analyzing conduction and extinction angles, steady-state and transient currents, and the roles of alpha and beta.

Explore the AC chopper with RL parallel load, deriving current and output voltage waveforms from firing angles alpha and beta, including conduction and transient decay through T1 and T2.

Explore an rl parallel load example, deriving the half-cycle average output voltage via piecewise integration and shifted exponential decay, including alpha, beta, and omega parameters.

Analyze an ac chopper feeding an ac motor with sinusoidal back emf, deriving voltage and current waveforms, phase shifts, and a phasor diagram to assess power factor.

Analyze an AC chopper loaded by an AC motor with sinusoidal back emf, deriving voltage and current waveforms, phase angles, and the firing angle alpha.

Explore integral cycle control in a single-phase ac circuit with a 220 volt supply at 50 hertz. Step through on-off cycles, calculate rms current and power factor around 0.77.

Learn how to generate a variable duty cycle using a comparator with a dc reference and a triangular carrier, producing on/off pulses for switching devices.

This buck regulator example converts 12 volt to 5 volt at 25 kilohertz with a 5 ohm load and 20 millivolt ripple, deriving duty cycle and critical inductance and capacitance.

Explore cascaded dc-dc converters across configurations: series series, parallel series, series parallel, and parallel parallel—and learn how current sharing boosts gain and reduces voltage stress.

Explore cascading two buck-boost stages to double the gain, achieving a total gain of 2d/(1-d) with a non-inverting and an inverting unit, including diode, inductor, and switch configurations.

simulate two-unit dc-dc buck-boost converters in matlab, using igbt switches, diodes, inductors, and capacitors to realize non-inverting and inverting topologies, targeting 250 v from 500 v input at 0.2 duty.

Demonstrate a three-unit non-inverting buck-boost converter with diodes and switches in parallel input/output, load across units, analyze the duty cycle, and compute output near 1000 for Vin=500 and D=0.4.

Explore single phase half-bridge inverters, switching q1 and q2 to produce a square-wave output for a resistive load, and analyze rms and harmonics.

Explore a 48-volt dc single-phase half-bridge inverter, deriving a 21.6-volt fundamental. Analyze output power, reverse blocking voltage, THD, distortion factors, and the lowest-order harmonics.

Analyze a single-phase bridge inverter with a 48-volt supply and 2.4-ohm load, comparing bridge and half-bridge, and calculating output power, transistor currents, reverse voltage, and THD.

Explore three-phase inverters and how to obtain phase voltages and line voltages VAB, VBC, VCA from six 60-degree conduction modes, with a neutral star connection.

Explore multiple pulse width modulation and compare it with single pulse width modulation, detailing carrier frequency, pulses, modulation index, and effects on switching losses and harmonics.

Learn how an inverter converts a 220-volt input to DC with bridge rectifier, then inverts to square wave, with transistor firing controlling voltage and frequency in single- or three-phase setups.

Simulate a single-phase bridge controlled rectifier in MATLAB to analyze input sine wave, output waveform, and the effects of firing angle, extinction angle, and load on conduction.

Demonstrate a buck regulator as a dc-dc converter that steps a 12‑V input to about 9.8 V using duty cycle control; simulate in MATLAB to observe voltage, current, and ripple.

Explore the Zeppos regulator, a boost dc-dc converter, and simulate it in Matlab to see how duty cycle and circuit components set the output voltage.

simulate a six‑mosfet three‑phase inverter in MATLAB with 120° shifted square‑wave line voltages v_ab, v_bc, and v_ca across a star‑connected load, and verify steady‑state results using measurements and scope.

Explore protection of electrical power systems, faults such as short circuits, overvoltage, and abnormal frequencies, and how fast isolation prevents cascading failures.