Aerospace and Electronic Systems Magazine September 2017 - 25
Zhu et al.
Table 1.
Model Parameters
Symbol
Value
Symbol
Value
Ap
2.26 × 10−3m2
pset
24 MPa
mt
150 kg
Ta
0.1 s
Bp
80 N/(m/s)
pb
0.5 MPa
fp
200 N
pe
0.5 MPa
FL
20 kN
ηpm
0.92
βe
690 MPa
T0
0.96 N * m
Cip
6.25 × 10−13m3/
(Pa * s)
p0
10 MPa
Cep
0
V0a
1 × 10−3m3
V0
4.52 × 10−5m3
Vs0
2 × 10−5m3
Cd
0.61
psmax
24 MPa
W
31.4 × 10 m
nmax
6,000 r/min
ρ
870 kg * m
ξp
0.9
−6
2
−3
ξs
0.8
ωnp
125.6 rad * s
ηpv
0.98
ωns
376.8 rad * s
Kp
2,500
p01
18 MPa
ymax
50 mm
V01a
1 × 10−4m3
Dp
3
2.5 × 10 m
Kp1
800
np
6,000 r/min
Dp1
0.625 ×
10−6m3
Δpset
1 MPa
−6
Figure 6.
Control performance comparison result (0.5 Hz square signal).
Figure 7.
Control performance comparison result (2 Hz sinusoidal signal).
QUAD REDUNDANT PBW SYSTEM MODELING
Since the quad redundant PBW system is composed of four, independent new PBW systems, the input and output flow rate of the
actuator are the sum of four subsystems. Therefore, the model of
a quad redundant PBW system can be established on the basis of
four new PBW subsystems by flow synthesis. In this model, the
displacement of pump Dp1 is a quarter of a pump used in other
models, and the proportional coefficient of controller Kp1 is also
different.
SIMULATION RESULTS
To prove the effectiveness of new the PBW TVC system, comparative simulation studies are carried out. The models of three PBW
systems and quad redundant PBW system have been established by
Amesim®. Model parameters used can be found in Table 1.
COMPARATIVE SIMULATION STUDY RESULTS
A 90-second-long test signal is designed to evaluate control performance and energy efficiency of three PBW systems. The frequenSEPTEMBER 2017
Figure 8.
Energy consumption comparison result.
cies of square signals are 0.2 Hz and 0.5 Hz, while the magnitudes
are ±0.05 m and ±0.03 m, respectively. The frequencies of sinusoidal signals are 0.5 Hz, 2 Hz, and 5 Hz, while the magnitudes are
±0.04 m, ±0.02 m, and ±0.02 m.
According to tracking performance results as shown in Figures
6 and 7, it is easy to find that the control performance of a pump
control PBW system is the worst, and the steady state error is large
for its low control stiffness. The control performance of a new
PBW system is slightly worse than a valve control PBW system;
however, it is far better than a pump control PBW system.
Figure 8 shows the energy consumption of three PBW systems.
The pump control system has the best efficiency, and the new PBW
IEEE A&E SYSTEMS MAGAZINE
25
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