# Instrumentation & Measurement Magazine 25-5 - 14

```Experimental Results
To verify the existence and feasibility of the proposed view correction,
two direct calculation methods obtained from [12] are
in turn used as an RHCD of the experimental SPSAPF system,
and briefly introduced as follows. It is assumed that N samples
of iL
(t) and those of sin(ωt) are defined as iL
(i)=iL
(t1
sin(i)=sin(ω(t1+iT/N)) respectively, for i=1,2, ..., N. Here t1
NN
[ ( )sin( )]
ii i
22
i
(t), and its amplitude is 1V. Then the formula
[sin( )]2
time t=t1+T/2, Ip
then id(t)=iL
(N/2)
pling time, id(t)=iL
((N/2)+1)-Ip
sin(N/2). Similarly, at the next sam((N/2)+1)
+iT/N)
and
>0;
N is a positive even number; sin(ωt) has the same phase and
frequency as us
IpL
( /2)  is obtained. Thus, at the sampling
N
ii
11
(N/2)-Ip
is directly calculated by the formula, and
(N/2)
sin((N/2)+1) .... This
method is called a direct calculation method with half-a-period
data, or Direct calculation method 1, or DCM 1 for short.
Likewise, a direct calculation method with three-period data is
obtained when the three-period data are used to calculate Ip
rectly, called Direct calculation method 2, or DCM 2 for short.
An experimental SPSAPF system is designed and developed,
depicted in Fig. 2. In the system, DCMs 1 and 2 are in
(t), and the nonlinear load is a single-phase bridge rectifier
with an RL load. The main parameters are as follows: The effective
value of us
id
′
(t) is 220V; the DC-link capacitor is 4700μF; the
filter inductor is 3mH; and R=10Ω and L=0.1H, for the RL load.
To observe and record experimental results conveniently,
an A/D data acquisition board UA206 is utilized. When experiments
are done, four analog signals us
(t), iL
(t), id
′(t) and is
(t) are
the inputs of UA206 and are converted into four digital signals.
Then the four digital signals are sent to a computer and then
displayed on the computer screen.
Fig. 3 shows the experimental results of SPSAPF using
DCM 1 with a step increase in iL
sponse time of SPSAPF using DCM 2 (about three periods) is
much longer than that of SPSAPF using DCM 1 (about half a
period), but is
di*(t),
hysteresis control is used to control
Fig. 3. Experimental results of SPSAPF using DCM 1 with a step increase in
iL
(t).
(t), and Fig. 4 uses DCM 2.
Fig. 3 and Fig. 4 indicate that when iL(t) step increases, the re(t)
of the former is closer to sinusoidal than that
of the latter. Therefore, DCM 2 is more congruent with the proposed
view correction than DCM 1. Consequently, it exists that
such SPSAPF HCDs like DCM 2 are comparatively congruent
with the proposed view correction; hence, the existence of the
Fig. 4. Experimental results of SPSAPF using DCM 2 with a step increase in
iL
(t).
proposed view correction is confirmed. Moreover, further experiments
indicate that DCM 2 is more stable and reliable than
DCM 1. For this reason, DCM 2 is more feasible than DCM 1
in practical applications; as a result, the feasibility of the proposed
view correction is indirectly demonstrated.
Fig. 2. Experimental SPSAPF system.
14
Conclusion
Is it correct that the higher the detection accuracy of an SPSAPF
HCD is, the more effective the HCD is? To respond to the question,
this paper proposed an interesting view correction for
evaluating an SPSAPF HCD. The proposed view correction
answers the question, and consists of a view correction for evaluating
an SPSAPF RHCD and that for evaluating an SPSAPF
IEEE Instrumentation & Measurement Magazine
August 2022
```

# Instrumentation & Measurement Magazine 25-5

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