App-14
IM 701310-01E
Appendix 2 How to Calculate the Area of a Waveform
IntegTY
S
1
S
3
S
2
Total Area for both Positive and
Negative Sides: S
1
+ S
3
– S
2
XY display: IntegXY
Open
a
c
S
0
Start point
S
0
b
d
S
0
S
0
(2)
When the Waveform Extends into the Negative Side
S
0
S
1
S
0
S
0
S
1
S
2
Area of S = S
0
X axis (Y = 0)
Start point
Stop point
Start point
Area of S = –S
0
X axis (Y = 0)
Stop point
X axis (Y = 0)
X axis (Y = 0)
Area of S = –S
0
Area of S = S
0
Stop point
Stop point
Start point
Start point
X axis (Y = 0)
Area of S = S
0
– S
1
Stop point
(3)
When Two or more Y Data Correspond to X Data
(1)
When Only One Y Data Corresponds to X Data
Start point
Area of S = S
0
Stop point
X axis (Y = 0)
X axis (Y = 0)
Area of S = S
0
+ 2 × S
1
+ S
2
Start point
Stop
point
Close
S
0
S
0
S
0
S
1
S
0
Waveform
S
1
(1)
Multiple Loops
(2)
Non-Closed Curve
(3)
Loop Tracinga Figure Eight
(4)
Spiral Loop
Area of S = n × S
0
n: Number of Loops
Start, Stop
point
Start point
Stop point
Area of S = S
0
Area Enclosed by
a Curve Connecting
the Start and
Stop Points
Area of S = S
0
× 2 + S
1
Number of Overlaps
Varies According to
the Number of Loops
Area of S = |S
0
– S
1
|
Start point
Stop point
Stop point
Start point