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Answer :
Answer:
To calculate the plug setting and the time multiplier setting for a relay, we'll use the following information:
CT Ratio: 400/5
Normal load current: 380A
Overload: 454A for 25 seconds
Maximum fault current: 5000A
Desired trip time for fault current: 0.5 seconds
Let's go through the calculations step by step:
Step 1: Calculate Plug Setting Multiplier (PSM)
The plug setting multiplier (PSM) is calculated using the formula:
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=
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PSM=
I
rated
I
plug
Where:
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�
�
�
�
I
plug
is the current at which you want the relay to operate (fault current for the desired trip time).
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�
�
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I
rated
is the rated current of the relay, which is usually the nominal CT secondary current.
In this case,
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I
plug
is the maximum fault current, which is 5000A, and
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�
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I
rated
is the CT secondary current at the nominal ratio of 400/5, which is 5A.
�
�
�
=
5000
5
=
1000
PSM=
5
5000
=1000
Step 2: Calculate Time Multiplier Setting (TMS) for Overload
The time multiplier setting (TMS) for the overload condition can be calculated using the formula:
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=
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�
�
�
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�
�
�
�
TMS=
t
standard
t
desired
Where:
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�
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t
desired
is the desired time of operation for the overload condition (25 seconds).
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t
standard
is a standard time of operation for the relay (usually 1 second).
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�
=
25
1
=
25
TMS=
1
25
=25
So, the Time Multiplier Setting (TMS) for the overload condition is 25.
Step 3: Calculate Time Multiplier Setting (TMS) for Fault Current
The time multiplier setting (TMS) for the fault current condition can be calculated using the formula:
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=
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×
�
�
�
TMS=
t
standard
t
desired
×PSM
Where:
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�
�
�
t
desired
is the desired time of operation for the fault current condition (0.5 seconds).
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�
�
�
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�
�
t
standard
is a standard time of operation for the relay (usually 1 second).
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�
PSM is the plug setting multiplier calculated in Step 1 (PSM = 1000).
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=
0.5
1
×
1000
=
500
TMS=
1
0.5
×1000=500
So, the Time Multiplier Setting (TMS) for the fault current condition is 500.
Explanation:
To summarize:
Plug Setting Multiplier (PSM): 1000
Time Multiplier Setting (TMS) for Overload: 25
Time Multiplier Setting (TMS) for Fault Current: 500
Please note that relay settings can be influenced by various factors and standards, so it's important to consult with a qualified engineer or follow established guidelines when configuring relay settings for specific applications.
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Rewritten by : Barada
To calculate the plug setting, you divide the overload current by the secondary current (primary current divided by CT ratio). The plug setting is approximately 0.9557. For the time multiplier setting, you'd need data from the IEC time delay curve.
In the scenario you've provided, we're asked to find the plug setting and time multiplier setting.
To begin, to calculate the plug setting, you divide the overload current by the secondary current (which is the primary current divided by CT ratio).
In this instance, the primary current is 380A and the CT ratio is 400/5.
So, you get the secondary current by dividing 380 by (400/5) to get a result of 4.75A.
Subsequently, you get the plug setting by dividing the overload current (454A) by 4.75A, which equals approximately 95.57% or 0.9557 in per unit value.
Now, for the time multiplier setting.
This involves the use of the IEC time delay curve, which, unfortunately, is not provided in this problem. To get an exact value for the time multiplier setting, you would need that specific data in the form of a graph.
However, as stated above, you are trying to achieve an overall operating time of 0.5 seconds, so you would adjust the time multiplier until that setting is achieved as per the curve.
Learn more about the topic of Relay Settings here:
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