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Agricultural and Biosystems Engineers Licensure Examination Electrical Machines & Power Utilisation: practice questions

Agricultural and Biosystems Engineers Licensure Examination (ABELE) · Philippines · Professional Regulatory Board of Agricultural and Biosystems Engineering, PRC

Original practice questions written to the published syllabus · not past papers
10worked here, free
41written to this exam in this subject
10syllabus units

What this subject covers

Motors and power supply on farms and in processing plants: choosing, starting, protecting and paying for electric drives.

In the exams: ICAR AIEEA-PG Unit II (explicit; not in the GATE AG syllabus); NCEES PE electric motors; rural electrification in PRC ABE

Where the 41 questions fall

How our questions for Agricultural and Biosystems Engineers Licensure Examination spread across the units of Electrical Machines & Power Utilisation. Difficulty: 2 easy, 19 medium, 20 hard.

Rural power distribution and tariffs10
Selecting motors for pumps, threshers and processing machines7
Transformers in practice4
Power factor correction4
Wiring and protection: fuses, MCB, ELCB and earthing4
DC machines3
Motor starters3
Variable-frequency drives3
Single-phase motors, including capacitor-start2
Three-phase induction motors: slip and torque-speed curve1

10 practice questions, worked

Choose an answer, then open the working. Each explanation says why the right answer is right and why the others are not.

1 · Transformers in practice · hard

An 11 kV/433 V transformer at the tail end of a rural feeder sees only 10.2 kV on its HV side. With the tap on the nominal position, what is the no-load LV voltage?

  1. 467.0 V
  2. 401.5 V
  3. 433.0 V
  4. 432.2 V
Answer and working

B. 401.5 V

The ratio is fixed by turns: V_LV = 433 × 10.2/11 = 401.5 V. 467.0 V inverts the ratio. 433 V assumes the LV is unaffected by HV voltage. 432.2 V subtracts the 0.8 kV shortfall as if it were 0.8 V. The remedy is a tap with fewer HV turns, which raises LV voltage.

2 · Motor starters · hard

A star-delta starter for a 15 kW centrifugal pump is set to change over to delta after only 1 s, before the motor has accelerated. What problem results?

  1. The motor reverses direction because the phase sequence changes at changeover
  2. The motor stays in star permanently and runs on at only one-third of its rated output
  3. The overload relay is bypassed in delta, so the motor runs without protection
  4. A second current surge at changeover, nearly as large as a direct-on-line start
Answer and working

D. A second current surge at changeover, nearly as large as a direct-on-line start

If the timer switches to delta while the motor is still at low speed, it receives full voltage at high slip and draws close to DOL current, losing the benefit of star starting. Changeover does not leave it in star, does not reverse the phase sequence, and does not bypass the overload relay.

3 · Selecting motors for pumps, threshers and processing machines · hard

Which motor and starting arrangement best suits a large thresher with a heavy drum that must be run up to speed before crop is fed?

  1. Shaded-pole motor sized at half the thresher's running power
  2. High-starting-torque motor started direct-on-line or by a drive
  3. Low-torque motor started in star-delta to protect the supply
  4. Any motor with a soft starter set to its lowest starting voltage
Answer and working

B. High-starting-torque motor started direct-on-line or by a drive

A heavy drum has large inertia; the motor needs enough accelerating torque through the whole run-up without overheating, which favours a high-starting-torque design (such as NEMA Design C or D) on DOL or a VFD. Star-delta and a low-voltage soft start cut torque to a fraction; a shaded-pole motor is far too weak.

4 · Selecting motors for pumps, threshers and processing machines · hard

An irrigation pump lifts 15 L/s through a total head of 20 m. Pump efficiency is 0.70 and motor efficiency 0.85. What electrical input power does the set draw?

  1. 3.46 kW
  2. 2.94 kW
  3. 4.20 kW
  4. 4.95 kW
Answer and working

D. 4.95 kW

Water power = 1000 × 9.81 × 0.015 × 20 = 2943 W. Wire-to-water efficiency = 0.70 × 0.85 = 0.595. Input = 2.943/0.595 = 4.95 kW. 4.20 kW is the pump shaft power (motor efficiency omitted). 2.94 kW is water power. 3.46 kW applies only the motor efficiency.

5 · Variable-frequency drives · hard

A borewell pump lifts water through a large static head with little pipe friction. Why does slowing it with a drive save much less energy than the cube law predicts?

  1. Head falls with speed squared, so a small slowdown leaves too little head to lift water
  2. The cube law applies only to positive-displacement pumps and never to centrifugal ones
  3. Drives waste about half of their input power as heat at any speed below base speed
  4. Slowing a submersible pump raises its slip, so motor input current rises at lower speed
Answer and working

A. Head falls with speed squared, so a small slowdown leaves too little head to lift water

The affinity laws hold for friction-only systems. With a large static head, the pump's head (∝ N²) soon falls to the static lift and flow collapses, so the usable speed range is narrow and savings must be read from the pump curve against the system curve. The cube law is for centrifugal machines; drive losses are only a few per cent; lower speed does not raise motor current.

6 · Power factor correction · hard

A 30 kW load is corrected from 0.7 to 0.95 power factor at constant voltage. By what percentage does the supply current fall?

  1. 45.7 %
  2. 26.3 %
  3. 35.7 %
  4. 25.0 %
Answer and working

B. 26.3 %

Current ∝ kVA = P/pf: 30/0.7 = 42.86 kVA, 30/0.95 = 31.58 kVA. Reduction = 1 − 0.7/0.95 = 26.3 %. 25.0 % is the change in power factor. 45.7 % is the reduction in copper loss (∝ I²). 35.7 % divides the change by 0.7.

7 · Power factor correction · hard

A rice mill's maximum demand is 100 kW at 0.75 power factor. Its tariff charges 300 currency units per kVA of maximum demand per month. If the power factor is raised to 0.95 at the same kW, what is the monthly saving in demand charges?

  1. 31,579 units
  2. 16,597 units
  3. 6,000 units
  4. 8,421 units
Answer and working

D. 8,421 units

kVA before = 100/0.75 = 133.33; after = 100/0.95 = 105.26. Saving = (133.33 − 105.26) × 300 = 8,421 units. 6,000 multiplies kW by the change in power factor. 31,579 is the new bill, not the saving. 16,597 charges the reactive power removed (kVAR) instead of the change in kVA.

8 · Power factor correction · hard

A processing plant adds several VFDs and soon afterwards its fixed power-factor capacitor bank fails repeatedly with blown fuses. What is the most likely reason and fix?

  1. Capacitors cannot carry the drives' DC output; move the bank to the motor terminals instead
  2. Harmonic resonance with the capacitors; replace them with a detuned, reactor-protected bank
  3. The drives raise the supply frequency; replace capacitors with ones rated for higher frequency
  4. The drives lower the displacement power factor; add more fixed capacitance at the main bus
Answer and working

B. Harmonic resonance with the capacitors; replace them with a detuned, reactor-protected bank

Drive harmonics can excite a parallel resonance between capacitors and supply inductance, overloading the capacitors. Detuned banks with series reactors shift the resonance below the dominant harmonics. Drives keep displacement power factor near unity, do not change supply frequency, and capacitors must not be put on drive outputs.

9 · Rural power distribution and tariffs · medium

What does a two-part electricity tariff consist of?

  1. A charge for kWh plus a separate charge for kVAh
  2. A charge per connected horsepower plus a meter rent
  3. A fixed or demand charge plus a charge for energy used
  4. A day energy rate plus a separate, lower night energy rate
Answer and working

C. A fixed or demand charge plus a charge for energy used

A two-part tariff combines a fixed or maximum-demand charge (recovering capacity cost) with an energy charge per kWh. Different day and night rates describe a time-of-use tariff; horsepower charges are flat-rate; kVAh billing is a separate method.

10 · Wiring and protection: fuses, MCB, ELCB and earthing · medium

A solar pump controller in an open field fails repeatedly after thunderstorms, though no direct strike is seen. What should be added?

  1. A 30 mA residual current device on the PV array's DC output cable
  2. A star-delta starter between the controller and the pump motor
  3. Surge protective devices on both DC and AC sides with good bonding
  4. A larger PV array so that the controller always runs at a lower input voltage
Answer and working

C. Surge protective devices on both DC and AC sides with good bonding

Induced lightning surges on long DC and motor cables destroy electronics; SPDs on the array and motor sides, bonded to a low-impedance earth, divert them. Array size does not limit surges; a 30 mA RCD gives shock protection, not surge protection; star-delta cannot be used after a drive.

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Electrical Machines & Power UtilisationThe full study manual, free Agricultural and Biosystems Engineers Licensure ExaminationFormat, sections and how it has changed

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Electrical Machines & Power Utilisation for other exams

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