
170 ◾ System Instantaneous Availability
Using Formula 6.54, the error of
′
k
is 0.001 and the error of composite
trapezoidal formula is the order of h
2
= 0.01.
So that
∑
)) ))
(( ((
=− +
′
−+
′
−+
′
−
=
−
At Ft
h
QtuAutuAuQtuAu
kk
k
n
() 1()
2
2Q
00
1
1
.
(6.59)
∑
()(
()
)
() () ()
() () ()
<=−+
′
−+ +
′
−
++
′
−+
+
=
−
() () 1()
2
0.001 2
0.001 0.001
0.01
00
1
1
At At Ft
h
QtuAuQtu
Au QtuAu
O
k
k
n
kn n
(6.60)
∑
()(
)
() ()
() () ()
>=−+
′
−− +
′
−
−+
′
−−
−
=
−
At At Ft
h
Qt uAuQtu
Au Qt uAu
O
k
k
n
kn n
() () 1()
2
0.001 ()2
0.001 0.001
(0.01
00
1
1
.
(6.61)
Among them,
At
is the upper value of error and
is the lower value of
error.
From the error theor ...