From 930f58d978ac1df90781061cbd2f725a849320cc Mon Sep 17 00:00:00 2001 From: jtgrasb <87095491+jtgrasb@users.noreply.github.com> Date: Wed, 20 Sep 2023 11:13:43 -0400 Subject: [PATCH] Control+pto docs (#1108) * start doc updates * Update docs * Finish docs * Revert environment * Update docs some * Update docs and pngs * Updated with power plots --- docs/_static/images/piGainSweep.png | Bin 61488 -> 74345 bytes docs/_static/images/piPTOSimulink.png | Bin 0 -> 293458 bytes docs/_static/images/reactiveWithPTOCC.png | Bin 0 -> 26770 bytes .../_static/images/reactiveWithPTOCCPower.png | Bin 0 -> 22525 bytes docs/_static/images/reactiveWithPTOOpt.png | Bin 0 -> 22830 bytes .../images/reactiveWithPTOOptPower.png | Bin 0 -> 25749 bytes docs/_static/images/reactiveWithPTOSweep.png | Bin 0 -> 71746 bytes docs/refs/WEC-Sim_Adv_Features.bib | 14 +++- docs/user/advanced_features.rst | 68 +++++++++++++++++- 9 files changed, 79 insertions(+), 3 deletions(-) create mode 100644 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za0u3GGnux29e%!v(Zc4n|Gna3Ff*vEE*g?M_QRaujkP*Mwg^(FOe5Z&+{my8UVH#7 z=(y-A>+1+SVeM&Y(f2djtOdzIK)`Pdxlr0a+@TgM`UUURxG!HeWK@`omzR}^@cgj& zS8<`Y^Zxyfj$`+}{3!GY@6$cfj%W{65jxcN2M*i|+!@E3Vr^rC<9eZQKr#H;;#k~| z`}ZK*0xbcG=}7}Go==zHbbn1GrZseOyWn6mcR?IysO>c|QAeSMY^iW{gWry&R2+2*Uw$V{2il8MuN2=T_lf^!cnx`jEC2 z2!zwHxKor^9?o9lKKaXVVcb)>Iu!!1y?ab`A80#=|1UKs BT8jVx literal 0 HcmV?d00001 diff --git a/docs/refs/WEC-Sim_Adv_Features.bib b/docs/refs/WEC-Sim_Adv_Features.bib index 8df0ff70d..7dd93f77b 100644 --- a/docs/refs/WEC-Sim_Adv_Features.bib +++ b/docs/refs/WEC-Sim_Adv_Features.bib @@ -58,4 +58,16 @@ @inproceedings{so2017development pages={1--5}, year={2017}, organization={IEEE} -} \ No newline at end of file +} + +@misc{allied, + title={Megaflux™ Frameless Direct Drive Torque Motors}, + author={}, + journal={}, + volume={28}, + number={2}, + pages={77--91}, + year={2006}, + publisher={Allied Motion}, + url={https://www.alliedmotion.com/brushless-motors/brushless-direct-drive-torque-motors/megaflux-frameless-direct-drive-torque-motors/} +} diff --git a/docs/user/advanced_features.rst b/docs/user/advanced_features.rst index 93c2002b5..9d1cbc234 100644 --- a/docs/user/advanced_features.rst +++ b/docs/user/advanced_features.rst @@ -903,7 +903,8 @@ own controls. +--------------------------------+-------------------------------------------+ | Model Predictive Control | Sphere with model predictive control | +--------------------------------+-------------------------------------------+ - + | Reactive with PTO | Sphere with reactive control and DD PTO | + +--------------------------------+-------------------------------------------+ Examples: Sphere Float with Various Controllers @@ -1243,6 +1244,69 @@ computation time and complex setup. | Avg Mechanical Power (kW) | N/A | 300 | 241 | +----------------------------+--------------+-------------+------------+ +.. _control-reactive-with-PTO: + +Reactive Control with Direct Drive Power Take-Off +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +The previous controllers only considered the mechanical power output. Although maximization +of mechanical power allows for the maximum energy transfer from waves to body, it often does +not lead to maximum electrical power. The previous controller examples demonstrate the +controller types and energy transfer from waves to body, but the important consideration of +electrical power requires a PTO model. This example applies a reactive controller to the +sphere body with a simplified direct drive PTO model to maximize electrical power. Within +the Simulink subsystem for determining the PTO force, the controller prescribes the ideal or +desired force which is fed into the direct drive PTO. The current in the generator is then +used to control the applied force. + +.. figure:: /_static/images/piPTOSimulink.png + :width: 500pt + :align: center + +The PTO parameters used for this example are defined in the ``wecSimInputFile.m`` and correspond to +the Allied Motion Megaflux Frameless Brushless Torque Motors–MF0310 :cite:`allied`. The +results in terms of capture width (ratio of absorbed power (W) to wave power (W/m)) and resultant power for the +applied gains from Section :ref:`control-reactive` are shown in the figures +below for a regular wave with a period of 9.6664 s and a height of 2.5 m. The "Controller (Ideal)" +power is the ideal power absorbed according to the applied controller gains. +The "Mechanical (Drivetrain)" power is the actual mechanical power absorbed by +the PTO system including the inertial, damping, and shaft torque power. Lastly, the +"Electrical (Generator)" power is the electrical power absorbed by the +generator including the product of induced current and voltage (based on shaft torque and velocity, +respectively) and the resultant generator losses (product of current squared and winding resistance). +Mechanical power maximization requires significant net input electrical power +(signified by red bar) which leads to an extremely negative capture width. Thus, +instead of harvesting electrical power, power would need to be taken from the grid or energy +storage component to achieve mechanical power maximization. + +.. figure:: /_static/images/reactiveWithPTOCCPower.png + :width: 300pt + :align: center + +.. figure:: /_static/images/reactiveWithPTOCC.png + :width: 300pt + :align: center + +On the other hand, by testing different controller gains in the same wave conditions +(regular wave: period = 9.6664 s, height = 2.5 m), the gains which optimize for +maximum electrical power can be found as shown below. Increasing the proportional gain +and decreasing the integral gain magnitude leads to a maximum power of about 84 kW and capture width of about +1.5 m. The resultant motion is almost ten times smaller than for the mechanical power +maximization which leads to a lower current and much lower generator power losses +(product of current squared and winding resistance). + +.. figure:: /_static/images/reactiveWithPTOSweep.png + :width: 300pt + :align: center + +.. figure:: /_static/images/reactiveWithPTOOptPower.png + :width: 300pt + :align: center + +.. figure:: /_static/images/reactiveWithPTOOpt.png + :width: 300pt + :align: center + .. _user-advanced-features-cable: @@ -1257,7 +1321,7 @@ class in the ``wecSimInputFile.m`` along with the base and follower connections cable(i) = cableClass('cableName','baseConnection','followerConnection'); where ``baseConnection`` is a PTO or constraint block that defines the cable connection on the base side, and ``followerConnection`` -is a PTO or constraint block that defineds the connection on the follower side. +is a PTO or constraint block that defineds the connection on the follower side. It is necessary to define, at a minimum: ::