Difference between revisions of "TrueWind"

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(calculate True Wind from Apparent Wind)
(calculate True Wind from Apparent Wind)
Line 46: Line 46:
 
* <b>SOG</b> Speed Over Ground <b>navigation.speedOverGround</b>
 
* <b>SOG</b> Speed Over Ground <b>navigation.speedOverGround</b>
 
** <b>TWS</b> True Wind Speed (relative to ground) <b>environment.wind.speedOverGround</b>
 
** <b>TWS</b> True Wind Speed (relative to ground) <b>environment.wind.speedOverGround</b>
** <code>TWx = SOG * Sin (COG) - AWS * Sin (AWD)</code>
+
** <code>TWx = OGx - AWx = SOG * Sin (COG) - AWS * Sin (AWD)</code>
** <code>TWy = SOG * Cos (COG) - AWS * Cos (AWD)</code>
+
** <code>TWy = OGy - AWy = SOG * Cos (COG) - AWS * Cos (AWD)</code>
 
** <code>TWS= SQRT (TWx*TWx  + TWy*TWy)</code>
 
** <code>TWS= SQRT (TWx*TWx  + TWy*TWy)</code>
 
** <b>TWD</b> True Wind Direction (relative to true north) <b>???</b>
 
** <b>TWD</b> True Wind Direction (relative to true north) <b>???</b>
Line 53: Line 53:
 
* <b>S</b> Speed over ground in direction of H
 
* <b>S</b> Speed over ground in direction of H
 
** <b>DFT</b> Drift (speed relative to ground) <b>???</b>
 
** <b>DFT</b> Drift (speed relative to ground) <b>???</b>
** <code>DFTx = SOG * Sin (COG) - STW * Sin (H)</code>
+
** <code>DFTx = OGx - SHx = SOG * Sin (COG) - S * Sin (H)</code>
** <code>DFTy = SOG * Cos (COG) - STW * Cos (H)</code>
+
** <code>DFTy = OGy - SHy = SOG * Cos (COG) - S * Cos (H)</code>
 
** <code>DFT= SQRT (DFTx*DFTx  + DFTy*DFTy)</code>
 
** <code>DFT= SQRT (DFTx*DFTx  + DFTy*DFTy)</code>
 
** <b>SET</b> Set (direction relative to true north) <b>???</b>
 
** <b>SET</b> Set (direction relative to true north) <b>???</b>
 
** <code>SET = ATAN ( DFTx / DFTy )</code>
 
** <code>SET = ATAN ( DFTx / DFTy )</code>
 +
[[File:Wind_1.jpg|500px]]
  
 
== simplified, assuming H=COG ==
 
== simplified, assuming H=COG ==

Revision as of 15:27, 30 October 2018

see also

Terms

vessel's Movement and Orientation

  • SOG Speed Over Ground navigation.speedOverGround
  • COG Course Over Ground (relative to true north) navigation.courseOverGroundTrue
  • COG Course Over Ground (relative to magnetic north) navigation.courseOverGroundMagnetic
  • STW Speed Trough Water navigation.speedThroughWater
  • H Heading (relative to true north) navigation.headingTrue
  • H Heading (relative to magnetic north) navigation.headingMagnetic
  • DFT Drift (drifting speed relative to ground) ???
  • SET Set (drifting direction relative to true north) ???
  • SET Set (drifting direction relative to magnetic north) ???

Wind

  • AWS Apparent Wind Speed environment.wind.speedApparent
  • AWD Apparent Wind Direction (relative to true north) environment.wind.directionTrue
  • AWD Apparent Wind Direction (relative to magnetic north) environment.wind.directionMagnetic
  • AWA Apparent Wind Angle (relative to H) environment.wind.angleApparent
  • TWS True Wind Speed (relative to ground) environment.wind.speedOverGround
  • TWS True Wind Speed (relative to water) environment.wind.speedTrue
  • TWD True Wind Direction (relative to true north) ???
  • TWA True Wind Angle (relative to H)
    • Description: True wind angle based on speed over ground, negative to port environment.wind.angleTrueGround
    • Description: True wind angle based on speed through water, negative to port environment.wind.angleTrueWater

Current

  • ??? Drift caused by current (speed relative to ground) environment.current.drift
  • ??? Current Set (direction relative to true north) environment.current.setTrue
  • ??? Current Set (direction relative to magnetic north) environment.current.setMagnetic

calculate True Wind from Apparent Wind

  • AWA Apparent Wind Angle (relative to H) environment.wind.angleApparent
  • H Heading (relative to true north) navigation.headingTrue
    • AWD Apparent Wind Direction (relative to true north) environment.wind.directionTrue
    • AWD = MOD(H+AWA;360)
  • AWS Apparent Wind Speed environment.wind.speedApparent
  • COG Course Over Ground navigation.courseOverGroundTrue
  • SOG Speed Over Ground navigation.speedOverGround
    • TWS True Wind Speed (relative to ground) environment.wind.speedOverGround
    • TWx = OGx - AWx = SOG * Sin (COG) - AWS * Sin (AWD)
    • TWy = OGy - AWy = SOG * Cos (COG) - AWS * Cos (AWD)
    • TWS= SQRT (TWx*TWx + TWy*TWy)
    • TWD True Wind Direction (relative to true north) ???
    • TWD = ATAN ( TWx / TWy )
  • S Speed over ground in direction of H
    • DFT Drift (speed relative to ground) ???
    • DFTx = OGx - SHx = SOG * Sin (COG) - S * Sin (H)
    • DFTy = OGy - SHy = SOG * Cos (COG) - S * Cos (H)
    • DFT= SQRT (DFTx*DFTx + DFTy*DFTy)
    • SET Set (direction relative to true north) ???
    • SET = ATAN ( DFTx / DFTy )

Wind 1.jpg

simplified, assuming H=COG

  • COG Course Over Ground navigation.courseOverGroundTrue
  • SOG Speed Over Ground navigation.speedOverGround
  • AWA Apparent Wind Angle (relative to H) environment.wind.angleApparent
  • AWS Apparent Wind Speed environment.wind.speedApparent
    • AWx = AWS * Cos (AWA)
    • AWy = AWS * Sin (AWA)
    • TWA True Wind Angle (relative to H) environment.wind.angleTrueGround
    • ATAN2(AWy, -SOG + AWx)
    • TWS True Wind Speed (relative to ground) environment.wind.speedOverGround
    • SQRT (POWER(AWy,2) POWER(-SOG + AWx,2))

True+True+Wind2.jpg


Sensors

Heading

SOG and COG

  • GPS receiver

STW

AWS and AWA