Title: Static pressure calculation from dynamic pressure for rotary air-data system and methodology therefor
Abstract: A Rotary Air-data System (RADS) periodically samples pressure data from a main rotor blade mounted pitot-scoop integrated with a high accuracy pressure sensor to compute a velocity vector that is resolvable into the aircraft's coordinate system. Mathematical techniques are employed which provide accurate computations of static pressure without a static pressure sensor. The RADS also computes the direction of the relative wind which is particularly useful when the pilot executes hover or low speed, low altitude maneuvers in restricted visibility. The availability of relative wind velocity information coupled with navigation data enhances the ability of rotary aircraft to perform accurate low altitude hover, fire control and other autopilot maneuvers.
Patent Number: 6,938,472 Issued on 09/06/2005 to Kaushik,   et al.
| Inventors:
|
Kaushik; Rajindar P. (Shelton, CT);
Haesche; James A. (Avon, CT);
Versailles; Richard E. (New Hartford, CT)
|
| Assignee:
|
Sikorsky Aircraft Corporation (Stratford, CT)
|
| Appl. No.:
|
732595 |
| Filed:
|
December 10, 2003 |
| Current U.S. Class: |
73/187; 73/178.R; 73/204.11; 73/861.61 |
| Intern'l Class: |
G01C 021/00 |
| Field of Search: |
73/178 R-187,178.T,204.11,86161-86167
|
References Cited [Referenced By]
U.S. Patent Documents
| 3332282 | Jul., 1967 | Daw.
| |
| 3948096 | Apr., 1976 | Miller.
| |
| 4360888 | Nov., 1982 | Onksen et al.
| |
| 4893261 | Jan., 1990 | Flint et al.
| |
| 5025661 | Jun., 1991 | McCormack.
| |
| 5423209 | Jun., 1995 | Nakaya et al.
| |
| 5610845 | Mar., 1997 | Slabinski et al.
| |
| 5797105 | Aug., 1998 | Nakaya et al.
| |
| 6101429 | Aug., 2000 | Sarma et al.
| |
| 6253166 | Jun., 2001 | Whitmore et al.
| |
Primary Examiner: Lefkowitz; Edward
Assistant Examiner: Ellington; Alandra
Attorney, Agent or Firm: Carlson, Gaskey & Olds
Claims
1. A method of calculating air-speed with a sensor mounted in a rotational field
comprising the steps of:
i) obtaining a total pressure measurement within the rotational field;
ii) calculate P
T′(t);
iii) extract steady state term P
T0′
and 1
st harmonic amplitude P
T1′;
iv) calculate P
S from
##EQU13##
utilizing a previously calculated V
T where V
T initially
0; and
v) recalculating V
T with P
S from said step iv); and
vi) repeating said steps iv) and v).
2. A method as recited in claim 1, wherein said step (i) further comprises locating
the sensor on a rotor blade.
3. A method as recited in claim 1, further comprising the step of: determining
a relative wind direction.
4. A method as recited in claim 3, further comprising the step of:
a) determining anazimuth position of a high pressure peak of the total pressure
measurement;
b) determining a tangent of the azimuth position of said step a).
5. A method as recited in claim 4, further comprising the step of:
obtaining the azimuth position of said step a) from a rotor blade position sensor.
6. A method as recited in claim 5, further comprising the step of:
locating the rotor blade position sensor within a stationary field adjacent the
rotational field.
Description
BACKGROUND OF THE INVENTION
The present invention relates to aircraft instrumentation, and more particularly
to airspeed measurement systems for rotary wing aircraft.
Aircraft air-data information is required for aerodynamic control. Typically,
aircraft speed is measured by pitot-static systems that provide indicated airspeed,
that is, the ram or dynamic pressure compared to the static pressure for the particular
altitude. The indicated airspeed provides information to the pilot for aerodynamic
speed control.
Indicated airspeeds are dependent on air density and may be significantly
different from true airspeed. Conventional systems generally measure indicated
airspeed and use an air data computer or other calculating means to determine true
speed. Several problems arise with existing devices as measurement accuracy is
dependent on the alignment of the pitot head with the incoming airflow. At large
yaw angles or at high angles of attack, significant errors may also be introduced.
Additionally, the operating range of the pitot-static system is limited such that
at low air speeds, the dynamic-static pressure differences may be too small for
accurate readings.
Numerous devices have been developed to measure the low speed operation
of rotary wing aircraft. Typically, these devices calculate indicated airspeed
using complex computations of main rotor longitudinal and lateral cyclic pitch
positions, along with collective pitch and tail rotor pitch. These devices typically
require additional input data, such as inertial acceleration, inertial velocity,
and wind velocity. The complexity, cost and weight of these types of systems have
prevented the widespread acceptance of these systems.
Accordingly, it is desirable to provide an uncomplicated air-data system
for a rotary wing aircraft that avoids the utilization of static pressure sensors
while assuring accurate data over a broad range of airspeeds and directions.
| |
PT = |
Total Pressure |
| |
PT0 = |
Steady State Pressure |
| |
PS = |
Static Pressure |
| |
γ = |
Ratio of Specific Heat |
| |
ρ = |
Density |
| |
ψ = |
Phase angle |
| |
VT = |
Air Speed |
| |
VR = |
Rotor Velocity |
| |
PT1 = |
First Harmonic Pressure Pulse |
| |
Ts = |
Ambient Temperature |
| |
R = |
Gas Constant |
| |
G = |
Gravitational Acceleration |
| |
Nr = |
Rotor Speed |
| |
MMA = |
molecular mass of air |
| |
T = |
absolute temperature |
| |
PS = |
static pressure |
| |
NR = |
rotor rotational velocity |
| |
1P = |
blade crossing reference |
| |
|
SUMMARY OF THE INVENTION
The Rotary Air-data System (RADS) according to the present invention provides
airspeed information for a rotary wing aircraft over its complete operational flight
regime at previously unattainable accuracy levels. The RADS periodically samples
pressure data from a main rotor blade mounted pitot-scoop integrated with a high
accuracy pressure sensor to compute a velocity vector that is resolvable into the
aircraft's coordinate system.
Mathematical techniques are employed which provide accurate airspeed
computations without a static pressure sensor along with inherent noise immunity
such as the turbulent flow generated when the main rotor blade passes over the
fuselage or tail wake.
The RADS performs the combined functions of a conventional air-data system, which
historically experience significant accuracy degradation at low air speeds due
to main rotor down wash and a low airspeed sensing system in integrated seamless
manner. Airspeed information is sensed and computed from zero to airspeed up to
the maximum flight speed of the aircraft.
The RADS also computes the direction of the relative wind. This is particularly
useful when the pilot executes hover or low speed, low altitude maneuvers in restricted
visibility. The availability of relative wind velocity information coupled with
navigation data enhances the ability of rotary aircraft to perform accurate low
altitude hover, fire control and other autopilot maneuvers.
The present invention therefore provides an uncomplicated air-data system for
a rotary wing aircraft which avoids the utilization of static pressure sensors
while assuring accurate data over a broad range of airspeeds and directions.
BRIEF DESCRIPTION OF THE DRAWINGS
The various features and advantages of this invention will become apparent to
those skilled in the art from the following detailed description of the currently
preferred embodiment. The drawings that accompany the detailed description can
be briefly described as follows:
FIG. 1 is a general perspective view of an exemplary rotary wing aircraft embodiment
for use with the present invention;
FIG. 2 is a block diagram of the Rotary Air-data System of the present invention;
FIG. 3 is a pressure variation as a single rotor blade rotates through a complete rotation;
FIG. 4 is a top view illustrating wind direction determination performed by
the Rotary Air-data System according to the present invention;
FIG. 5 is a pressure-azimuth representation as a rotor blade rotates through
a complete rotation; and
FIG. 6 is a pressure-velocity representation as a rotor blade rotates through
a complete rotation.
DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENT
FIG. 1 schematically illustrates a vehicle
10 such as a RAH-66 Comanche
helicopter, which includes a rotary air data system (RADS illustrated generally
at
12). It should be understood that although a particular vehicle is disclosed
in the illustrated embodiment, other vehicles would benefit from the instant invention.
The complete RADS
12 as installed on an aircraft preferably includes three
separate channels that independently provide airspeed information to each of the
three Flight Control Computers (FCCs)
30 (FIG.
2). Availability of
three independent channels of air-data provides the potential to perform redundancy management.
The RADS
12 includes a Blade mounted Pressure Sensor (BMPS)
14
having a Pitot Scoop
20, a Rotary Interface Unit (RIU)
16, and a
Digital Air Data Module (DADM)
18. A rotational field R includes a multiple
of rotor blades
22 and rotor hub assembly
24 which rotate about an
Axis A relative to a stationary field S defined by the vehicle airframe
26.
The BMPS
14 and Pitot Scoop
20 are mounted to one or more rotor
blades
22 to collect dynamic air pressure during rotation of the rotor hub
assembly
24. The RIU
16 transmits electrical power and control signals
between the rotational field R and the stationary field S.
The rotor blades
22, which do not include a BMPS
14, include a
Blade Mounted Counter Weight (BMCW)
28 to minimize unbalance of the rotor
blades
22 mounted to the rotor head hub assembly
24.
The DADM
18 computes vehicle airspeed from signals generated by the BMPS
14 as sensed by the Pitot Scoop
20 (also illustrated in FIG.
2).
The DADM
18 utilizes an inventive method by which the system
12 periodically
samples pressure data from the main rotor blade mounted BMPS
14 and Pitot
Scoop
20 which is resolvable into the aircraft's coordinate system through
the aircraft flight control computer(s)
30. As will be further described,
mathematical techniques are employed which provide accurate airspeed computations
along with inherent noise immunity without a static pressure sensor.
The present invention eliminates a Static Pressure Sensor installation and computes
the static pressure from dynamic pressure measurements. The mathematical computation
process is explained through equations using the Total Pressure (P
I),
Rotational Velocity (V
R), Ratio of specific Heat Constant (γ),
Air Density (ρ), Computed Airspeed (V
T) and Temperature (T). All
the parameters are known; therefore, Ps can be computed with the derived relationship
each time the total pressure is sampled.
Finding Static Pressure from Total Pressure Measurements And Airspeed Calculations:
##EQU1##
Where:
P
T=Total Pressure
V
T=Air Speed
P
S=Static Pressure
V
R=Rotational Velocity
γ=Ratio of Specific Heat
P
T1=First Harmonic Pressure Pulse
ρ=Density
ψ=Phase Angle
FIG. 3 illustrates a pressure variation as a single rotor blade rotates through
a complete 1P rotation. The implementation technique provided by the present invention
permits discarding of the pressure data sampled as the main rotor blade passes
turbulent flow created adjacent the fuselage and/or tail. That is, the pressure
from the fuselage and/or tail will be a constant and therefore readily discernable.
Equation (1) can then be written as:
##EQU2##
##EQU3##
##EQU4##
∴ the equation can be written as:
##EQU5##
Steady State Component
##EQU6##
First Harmonic Component
##EQU7##
Therefore . . .
##EQU8##
Such that the Static Pressure is:
##EQU9##
Airspeed V
T is determined from the 1
st Harmonic Component
(Equation #4):
##EQU10##
As the following are measured/calculated parameters or constants:
Total pressure P
T
Ambient Temperature T
S
Rotor Velocity V
R
Gas Constant R
Ratio of Specific Heat γ
Gravitational Acceleration g
The methodology for finding static pressure proceeds as follows:
i) Calculate P
T (t) by finding
##EQU11##
root of measured P
T(t) at each point in time.
ii) Extract steady state term P
T0and 1
st
harmonic amplitude P
T 1.
iii) Calculate Static Pressure P
S from equation 6 using previously
calculated V
T (V
T =0 initially)
iv) Calculate V
T from equation 7 and compute V
R knowing
rotor speed and location of the BPMS on the blade from center of rotation.
v) Repeat steps iii and iv. (V
T changes slowly enough that V
T
from previous data may be used.)
In addition to the normal computation of the airspeed, the RADS
12 computes
the direction of the relative wind. This feature is most useful when the pilot
must execute hover or low speed, low altitude maneuvers in restricted visibility.
The availability of relative wind velocity information coupled with navigation
data enhances the ability of rotary aircraft to perform accurate low altitude hover,
fire control and other autopilot maneuvers.
Referring to FIG. 4, the RADS
12 computes the direction of the relative
wind by relating rotor blade position with total pressure. The highest total pressure
P
T is determined by determining where the highest total pressure P
T
is located relative to the azimuth position of the rotor blade.
The BMPS
14 and Pitot Scoop
20 are mounted to one or more rotor
blades
22′ to collect dynamic air pressure during rotation of the
rotor hub assembly
24. A 1/Rev blade crossing reference sensor
32
is located on the airframe
26 to track the azimuth position of a distinct
reflector
34a-
34e to continuously track the position
of each rotor blade 22. Although the sensor
32 is illustrated as being located
on the aircraft nose, other locations, numbers and multiples of position sensors
will likewise benefit from the present invention such as a single the 1/Rev blade
crossing reference sensor located on a stationary part of the rotor head in combination
with an rotor speed N
R sensor mounted within the gearbox.
A high pressure peak (FIG. 5) occurs when the rotor blade
22′ which
mounts the BMPS
14 is heading directly into the relative wind (illustrated
schematically by W; FIG.
4). Knowing the azimuth position of the blade
22′
at which the high pressure peak of the total pressure P
T occurs, permits
a determination of the relative high wind direction W, the relative wind direction
W is the inverse tangent of the azimuth position at which the high pressure peak
of the total pressure P
T occurs. The total pressure varies sinusoidal
as the blade rotates in the wind. That is, the high pressure peak and thus the
wind direction W will be ninety degrees offset or perpendicular to the azimuth
position of the blade
22′ and directed into the blade
22′.
As the following are measured/calculated parameters or constants:
- θ=Azimuth Angle
- ψ=Wind Direction Angle
- L=blade radius to sensor 32
- Vω=VA rotor angular velocity
- PT0 =PTSS=steady state total pressure
- PT1=amplitude of the pressure variations
- VR=ωθR*L=Blade Mounted Pressure Sensor
(BUTS) rotational velocity
The function can be expressed as a Fourier series function and the wind direction
W is extracted from the expression as an inverse tangent with respect to the blade
position (FIG.
6). The Fourier series function is:
The methodology for finding the wind direction proceeds as follows in which the
single harmonic form is:
PT=A0+C1
COS(θ+ψ)=
PTSS +PT1 COS(θ+ψ)
Where C
1=√{square root over ( )}A
12+B
12
such that
##EQU12##
It should be understood that relative positional terms such as "forward," "aft,"
"upper," "lower," "above," "below," and the like are with reference to the normal
operational attitude of the vehicle and should not be considered otherwise limiting.
Although particular step sequences are shown, described, and claimed, it
should be understood that steps may be performed in any order, separated or combined
unless otherwise indicated and will still benefit from the present invention.
The foregoing description is exemplary rather than defined by the limitations
within. Many modifications and variations of the present invention are possible
in light of the above teachings. The preferred embodiments of this invention have
been disclosed, however, one of ordinary skill in the art would recognize that
certain modifications would come within the scope of this invention. It is, therefore,
to be understood that within the scope of the appended claims, the invention may
be practiced otherwise than as specifically described. For that reason the following
claims should be studied to determine the true scope and content of this invention.
*