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ElectricalPower System
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Which is the lowest order harmonic present in the source current of 12 pulse converter?

A

5th order

B

7th order

C

11th order

D

13th order

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleElectricalPower System
Option C

11th order

Quick Summary:

In a p-pulse converter, the characteristic harmonics present on the AC side are given by the formula n=kp┬▒1n = kp \pm 1n=kp┬▒1, where k is any positive integer. For a 12-pulse converter, p=12p = 12p=12, resulting in harmonics of the order 12k┬▒112k \pm 112k┬▒1 (i.e., 11th, 13th, 23rd, 25th, etc.), making the 11th order harmonic the lowest.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

In a p-pulse converter, the characteristic harmonics present on the AC side are given by the formula n=kp┬▒1n = kp \pm 1n=kp┬▒1, where k is any positive integer. For a 12-pulse converter, p=12p = 12p=12, resulting in harmonics of the order 12k┬▒112k \pm 112k┬▒1 (i.e., 11th, 13th, 23rd, 25th, etc.), making the 11th order harmonic the lowest.

ЁЯФв Key Formulas

n=kp┬▒1n = kp \pm 1n=kp┬▒1 тАФ Generalized harmonic order formula for a p-pulse converter

h=12k┬▒1h = 12k \pm 1h=12k┬▒1 тАФ Specific harmonic order formula for a 12-pulse converter where k=1,2,3...k=1, 2, 3...k=1,2,3...

тЪЩя╕П Working Principle

The 12-pulse converter is achieved by connecting two 6-pulse bridges in series/parallel with a 30-degree phase shift between their supply voltages, typically using a Y-Y and Y-Delta transformer configuration. This phase shift causes the 5th, 7th, 17th, and 19th harmonics generated by the individual 6-pulse bridges to cancel out. Consequently, only the harmonics defined by n=12k┬▒1n = 12k \pm 1n=12k┬▒1 remain in the resultant source current.

ЁЯУМ Key Points
  • тЦ╕

    Characteristic harmonics are those inherent to the commutation process in power converters.

  • тЦ╕

    The cancellation of 5th and 7th harmonics in 12-pulse systems significantly reduces Total Harmonic Distortion (THD).

  • тЦ╕

    Higher pulse numbers result in lower amplitude and higher frequency harmonics, which are easier to filter.

тЬЕ Advantages
  • тЦ╕

    Lower THD in current and voltage waveforms compared to 6-pulse converters.

  • тЦ╕

    Reduced requirement for large and expensive AC harmonic filters.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Requires more complex transformer arrangements (phase shifting).

  • тЦ╕

    Higher total component count increases converter footprint.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    High Voltage Direct Current (HVDC) transmission links.

  • тЦ╕

    Large industrial VFDs (Variable Frequency Drives) to meet IEEE 519 standards.

ЁЯФД Comparison Table
Feature6-Pulse Converter12-Pulse Converter

Lowest Harmonic

5th (n=6k┬▒1)

11th (n=12k┬▒1)

ЁЯУД Additional Information
  • тЦ╕

    The 5th and 7th harmonics are characteristic of 6-pulse converters. In a 12-pulse system, these are suppressed due to the 30┬░ phase shift between the two bridge inputs.

  • тЦ╕

    Option A and B represent harmonics of a 6-pulse bridge, while D is the next higher harmonic after the 11th in a 12-pulse system.

ЁЯУК Diagram / Illustration
Harmonic Order Formulan = kp ┬▒ 1For 12-pulse: n = 12k ┬▒ 1k=1 implies n=11, 13
тЬЕ

C is correct тАФ The lowest order harmonic in a 12-pulse converter is defined by n=12(1)тИТ1=11n = 12(1) - 1 = 11n=12(1)тИТ1=11.

Core Concepts Used
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Commutation process Harmonic cancellation Pulse multiplication in rectifiers
ЁЯТб EXAM TIP

Always remember the simple rule: if the number of pulses ppp increases, the lowest harmonic nnn also increases, which simplifies power quality improvement.

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