DC Motors and Transformers Complete Study Notes for SSC JE, RRB & GATE

Pratiksha Jadhav
DC Motors and Transformers Complete Notes | Important Points, Formulas, Losses, Tests & Applications

⚡ Complete Notes on DC Motors and Transformers

This comprehensive guide covers detailed theory, formulas, working principles, losses, efficiency, tests, applications and important exam points related to DC Motors and Transformers. These notes are specially prepared for Electrical Engineering students preparing for SSC JE, RRB, GATE, PSU, Diploma, ITI and university exams.

Part 1: DC Motors

1. Working Principle of DC Motor

A DC motor works on the principle that when a current-carrying conductor is placed inside a magnetic field, it experiences a mechanical force. The direction of force is determined by Fleming’s Left-Hand Rule.

Force on conductor = B × I × L Back EMF (Eb) = V − IaRa Speed ∝ Eb / Flux Torque ∝ Flux × Armature Current

2. Construction of DC Motor

  • Yoke (Frame)
  • Field Poles
  • Armature Core
  • Armature Winding
  • Commutator
  • Brushes

3. Types of DC Motors

Motor Type Starting Torque Speed Regulation Application
Shunt Motor Moderate Excellent Machine Tools
Series Motor Very High Poor Cranes, Traction
Cumulative Compound High Good Elevators
Differential Compound Low Unstable Rarely Used

4. Characteristics of DC Motors

Shunt Motor

  • Speed remains almost constant.
  • Suitable for constant speed applications.
  • Used in lathes, drills, fans.

Series Motor

  • Speed inversely proportional to armature current.
  • Must not be started at no-load.
  • Used in electric traction.

5. Losses in DC Motor

  • Copper Loss (Ia²Ra)
  • Hysteresis Loss
  • Eddy Current Loss
  • Mechanical Loss (Friction & Windage)
Maximum Efficiency Condition: Variable Losses = Constant Losses

6. Speed Control Methods

  • Field Control Method (Above rated speed)
  • Armature Voltage Control (Below rated speed)
  • Armature Resistance Control
  • Ward-Leonard Control

7. Braking Methods

  • Plugging (Highest braking torque)
  • Regenerative Braking
  • Dynamic Braking

8. Important Exam Points – DC Motors

  • Back EMF is zero at starting.
  • Starter required to limit high starting current.
  • Series motor has highest starting torque.
  • Shunt motor has best speed regulation.
  • Torque ∝ Ia² (in series motor).

Part 2: Transformers

1. Working Principle

A transformer works on Faraday’s Law of Electromagnetic Induction. It transfers electrical energy from one circuit to another through magnetic flux.

EMF Equation: E = 4.44 f N Φ Transformation Ratio (K) = N2/N1 = E2/E1

2. Construction of Transformer

  • Core (Silicon Steel Laminations)
  • Primary Winding
  • Secondary Winding
  • Conservator
  • Breather (Silica Gel)
  • Buchholz Relay
  • Tank & Bushings

3. Transformer Losses

Loss Type Depends On Nature
Iron Loss Voltage Constant
Copper Loss Load Current Variable
Eddy Current Loss Frequency Reduced by Laminations

4. Efficiency of Transformer

Transformer efficiency is very high (98% approx). Maximum efficiency occurs when copper loss equals iron loss.

5. Voltage Regulation

  • Zero regulation at leading power factor.
  • Negative regulation indicates capacitive load.

6. Transformer Tests

  • Open Circuit Test → Core Loss
  • Short Circuit Test → Copper Loss
  • Sumpner’s Test → Temperature Rise
  • Polarity Test
  • Impedance Test

7. Cooling Methods

  • ONAN – Oil Natural Air Natural
  • ONAF – Oil Natural Air Forced
  • Air Blast Cooling

8. Protection of Transformer

  • Buchholz Relay – Internal fault
  • Horn Gap – Lightning protection
  • Breather – Moisture control
  • Conservator – Oil expansion

9. Important Exam Points – Transformers

  • Transformer does not change frequency.
  • Rated in kVA.
  • CT secondary must never be open.
  • Core laminated to reduce eddy current loss.
  • Maximum efficiency at 50% load (Distribution transformer).

Frequently Asked Questions (FAQs)

Why DC motor starter is required?

Because back EMF is zero at starting, resulting in very high armature current.

Why transformer is rated in kVA?

Because losses depend on voltage and current, not power factor.

Which motor is best for traction?

DC Series Motor due to high starting torque.

What is the condition for maximum efficiency?

Copper Loss = Iron Loss

Why CT secondary should never be open?

It may cause dangerously high voltage and core saturation.