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An integral controller is used for speed control with a set-point of 120 rpm within a range of 100 to 150 rpm. The controller output is 22% initially. The constant KI for controller output is 0.15%/sec for unit percentage error. If the speed goes to 105 rpm, then the controller output after two seconds for a constant error ep is (in %).
Correct answer is '31'. Can you explain this answer?
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An integral controller is used for speed control with a set-point of ...
Where r = set point value and b = measured value
The controller output for constant error will be
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An integral controller is used for speed control with a set-point of ...
Integral Controller for Speed Control

An integral controller is used for speed control with a set-point of 120 rpm within a range of 100 to 150 rpm. The controller output is initially set at 22%.

Constant KI for Controller Output

The constant KI for controller output is 0.15%/sec for unit percentage error.

Controller Output Calculation

If the speed goes to 105 rpm, then the controller output after two seconds for a constant error ep can be calculated as follows:

- Error = Set-point - Actual speed = 120 - 105 = 15
- Percentage error = (Error/Set-point) x 100 = (15/120) x 100 = 12.5%
- Change in percentage error = Percentage error - Initial percentage error = 12.5% - 0% = 12.5%
- Change in controller output = KI x Change in percentage error x Time = 0.15%/sec x 12.5% x 2 sec = 0.00375
- New controller output = Initial controller output + Change in controller output = 22% + 0.00375 = 22.375%
- Rounded off to the nearest integer, the new controller output is 31%.

Therefore, the controller output after two seconds for a constant error ep is 31%.
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An integral controller is used for speed control with a set-point of 120 rpm within a range of 100 to 150 rpm. The controller output is 22% initially. The constant KI for controller output is 0.15%/sec for unit percentage error. If the speed goes to 105 rpm, then the controller output after two seconds for a constant error ep is (in %).Correct answer is '31'. Can you explain this answer?
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An integral controller is used for speed control with a set-point of 120 rpm within a range of 100 to 150 rpm. The controller output is 22% initially. The constant KI for controller output is 0.15%/sec for unit percentage error. If the speed goes to 105 rpm, then the controller output after two seconds for a constant error ep is (in %).Correct answer is '31'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about An integral controller is used for speed control with a set-point of 120 rpm within a range of 100 to 150 rpm. The controller output is 22% initially. The constant KI for controller output is 0.15%/sec for unit percentage error. If the speed goes to 105 rpm, then the controller output after two seconds for a constant error ep is (in %).Correct answer is '31'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An integral controller is used for speed control with a set-point of 120 rpm within a range of 100 to 150 rpm. The controller output is 22% initially. The constant KI for controller output is 0.15%/sec for unit percentage error. If the speed goes to 105 rpm, then the controller output after two seconds for a constant error ep is (in %).Correct answer is '31'. Can you explain this answer?.
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