Part VI

Power Electronics

Converting, regulating, and controlling electrical energy — from milliwatt LDO regulators to megawatt motor drives, power electronics underpins every electrified system.

Power Conversion Chain

AC Grid230V 50Hzor BatteryRectifierAC → DCCh 16SwitcherBuck / BoostCh 17Motor DriveH-Bridge / InverterCh 18Motor / LoadMechanicalPower OutFeedback / Control

About Part VI

Power electronics is the engineering discipline concerned with the processing of electric power using semiconductor devices. Unlike signal electronics where efficiency is a secondary concern, power electronics demands efficiencies above 90% — every percent of loss becomes heat that must be managed and wasted energy that increases operating cost.

The three key conversions are AC→DC (rectification), DC→DC (switching regulation), and DC→AC or DC→variable-AC (inverters and motor drives). Together they form the power chain from the grid to the load, controlling hundreds of watts in a laptop charger to megawatts in an industrial motor drive or grid-tied solar inverter.

Key relationships: a buck converter output voltage \(V_{out} = D\,V_{in}\), boost \(V_{out} = V_{in}/(1-D)\), and linear regulator efficiency\(\eta = V_{out}/V_{in}\) — simple formulas with profound engineering implications.

Key Equations

Ripple Voltage
\(V_r = I_{load}/(f \cdot C)\)
Linear Reg. Efficiency
\(\eta = V_{out}/V_{in}\)
Buck Converter
\(V_{out} = D\,V_{in}\)
Boost Converter
\(V_{out} = V_{in}/(1-D)\)
Inductor Ripple
\(\Delta I_L = V_{in}\,D/(f_s L)\)
DC Motor
\(V = IR + L\,di/dt + K_e\omega\)

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