From 4a3e354757250e74e7815bceccf0bb2ec0fabd4c Mon Sep 17 00:00:00 2001 From: 1-Bart-1 Date: Fri, 24 May 2024 13:47:49 +0200 Subject: [PATCH 01/75] serialization of initial integrator --- Project.toml | 1 + src/KiteModels.jl | 45 +++++++++++++++++++++++++++++++++++++++++---- 2 files changed, 42 insertions(+), 4 deletions(-) diff --git a/Project.toml b/Project.toml index 27d42a12..ac4f7859 100644 --- a/Project.toml +++ b/Project.toml @@ -17,6 +17,7 @@ Parameters = "d96e819e-fc66-5662-9728-84c9c7592b0a" PrecompileTools = "aea7be01-6a6a-4083-8856-8a6e6704d82a" Reexport = "189a3867-3050-52da-a836-e630ba90ab69" Rotations = "6038ab10-8711-5258-84ad-4b1120ba62dc" +Serialization = "9e88b42a-f829-5b0c-bbe9-9e923198166b" StaticArrays = "90137ffa-7385-5640-81b9-e52037218182" Sundials = "c3572dad-4567-51f8-b174-8c6c989267f4" WinchModels = "7dcfa46b-7979-4771-bbf4-0aee0da42e1f" diff --git a/src/KiteModels.jl b/src/KiteModels.jl index e2cdc03e..9ccd47a7 100644 --- a/src/KiteModels.jl +++ b/src/KiteModels.jl @@ -34,7 +34,7 @@ Scientific background: http://arxiv.org/abs/1406.6218 =# module KiteModels using PrecompileTools: @setup_workload, @compile_workload -using Dierckx, StaticArrays, Rotations, LinearAlgebra, Parameters, NLsolve, DocStringExtensions, OrdinaryDiffEq +using Dierckx, StaticArrays, Rotations, LinearAlgebra, Parameters, NLsolve, DocStringExtensions, OrdinaryDiffEq, Serialization import Sundials using Reexport @reexport using KitePodModels @@ -433,6 +433,18 @@ function calc_pre_tension(s::AKM) return res + 1.0 end +""" +helper function for init sim +""" +function fields_equal(a, b) + for field in fieldnames(typeof(a)) + if getfield(a, field) != getfield(b, field) + return false + end + end + return true +end + """ init_sim!(s; t_end=1.0, stiffness_factor=0.035, prn=false) @@ -447,9 +459,28 @@ Parameters: Returns: An instance of a DAE integrator. """ -function init_sim!(s::AKM; t_end=1.0, stiffness_factor=0.035, prn=false) +function init_sim!(s::AKM; t_end=1.0, stiffness_factor=0.035, prn=false, save=true) clear!(s) s.stiffness_factor = stiffness_factor + + akm_integrator_pairs = [] + save_file = joinpath(get_data_path(), ".akm_integrator_pairs.bin") + if prn println("Save file ", save_file) end + + if isfile(save_file) && save + akm_integrator_pairs = deserialize(save_file)[1:min(end, 1000)] + if prn println("Found $(length(akm_integrator_pairs)) old steady states.") end + for akm_integrator_pair in akm_integrator_pairs + if fields_equal(akm_integrator_pair[1].set, s.set) + if prn println("Found similar steady state.") end + for field in fieldnames(typeof(s)) + setfield!(s, field, getfield(akm_integrator_pair[1], field)) + end + return akm_integrator_pair[2] + end + end + end + y0, yd0 = KiteModels.find_steady_state!(s; stiffness_factor=stiffness_factor, prn=prn) y0 = Vector{Float64}(y0) yd0 = Vector{Float64}(yd0) @@ -469,6 +500,12 @@ function init_sim!(s::AKM; t_end=1.0, stiffness_factor=0.035, prn=false) differential_vars = ones(Bool, length(y0)) prob = DAEProblem{true}(residual!, yd0, y0, tspan, s; differential_vars) integrator = OrdinaryDiffEq.init(prob, solver; abstol=abstol, reltol= s.set.rel_tol, save_everystep=false) + + if !any(pair -> fields_equal(pair[1].set, s.set), akm_integrator_pairs) + push!(akm_integrator_pairs, (s, integrator)) + serialize(save_file, akm_integrator_pairs) + end + return integrator end """ @@ -569,8 +606,8 @@ end @compile_workload begin # all calls in this block will be precompiled, regardless of whether # they belong to your package or not (on Julia 1.8 and higher) - integrator = KiteModels.init_sim!(kps3_; stiffness_factor=0.035, prn=false) - integrator = KiteModels.init_sim!(kps4_; stiffness_factor=0.035, prn=false) + integrator = KiteModels.init_sim!(kps3_; stiffness_factor=0.035, prn=false, save=false) + integrator = KiteModels.init_sim!(kps4_; stiffness_factor=0.035, prn=false, save=false) nothing end end From 49c43f4406613bf7179f47c081fb038d32954dc9 Mon Sep 17 00:00:00 2001 From: 1-Bart-1 Date: Fri, 24 May 2024 22:13:34 +0200 Subject: [PATCH 02/75] even faster by serializing only once --- src/KiteModels.jl | 47 +++++++++++++++++++++++++++++++---------------- 1 file changed, 31 insertions(+), 16 deletions(-) diff --git a/src/KiteModels.jl b/src/KiteModels.jl index 9ccd47a7..c1f207e5 100644 --- a/src/KiteModels.jl +++ b/src/KiteModels.jl @@ -55,8 +55,9 @@ export KPS3, KPS4, KPS4_3L, KVec3, SimFloat, ProfileLaw, EXP, LOG, EXPLOG export calc_set_cl_cd!, copy_examples, copy_bin, update_sys_state! # helper functions export clear!, find_steady_state!, residual! # low level workers export init_sim!, next_step! # high level workers -export pos_kite, calc_height, calc_elevation, calc_azimuth, calc_heading, calc_course # getters +export pos_kite, calc_height, calc_elevation, calc_azimuth, calc_heading, calc_course, load_history # getters export winch_force, lift_drag, lift_over_drag, unstretched_length, tether_length, v_wind_kite # getters +export save_history # setter / saver export kite_ref_frame, orient_euler, spring_forces import LinearAlgebra: norm @@ -115,6 +116,8 @@ function __init__() end end +integrator_history_file = joinpath(get_data_path(), ".integrator_history.bin") + include("KPS4.jl") # include code, specific for the four point kite model include("KPS4_3L.jl") # include code, specific for the four point kite model include("KPS3.jl") # include code, specific for the one point kite model @@ -445,6 +448,20 @@ function fields_equal(a, b) return true end +function load_history() + if isfile(integrator_history_file) + history = deserialize(integrator_history_file) + else + history = Vector{Tuple}() + end + return history +end + +function save_history(history::Vector{Tuple}) + serialize(integrator_history_file, history) +end + + """ init_sim!(s; t_end=1.0, stiffness_factor=0.035, prn=false) @@ -459,20 +476,19 @@ Parameters: Returns: An instance of a DAE integrator. """ -function init_sim!(s::AKM; t_end=1.0, stiffness_factor=0.035, prn=false, save=true) +function init_sim!(s::AKM; t_end=1.0, stiffness_factor=0.035, prn=false, integrator_history=nothing) clear!(s) s.stiffness_factor = stiffness_factor - akm_integrator_pairs = [] - save_file = joinpath(get_data_path(), ".akm_integrator_pairs.bin") - if prn println("Save file ", save_file) end - - if isfile(save_file) && save - akm_integrator_pairs = deserialize(save_file)[1:min(end, 1000)] - if prn println("Found $(length(akm_integrator_pairs)) old steady states.") end - for akm_integrator_pair in akm_integrator_pairs + if !isnothing(integrator_history) + while length(integrator_history) > 10_000 # around 10MB, 10ms per for loop? + pop!(integrator_history) + end + if prn println("Found $(length(integrator_history)) old steady states.") end + println("Found $(length(integrator_history)) old steady states.") + @time for akm_integrator_pair in integrator_history if fields_equal(akm_integrator_pair[1].set, s.set) - if prn println("Found similar steady state.") end + if prn println("Found similar steady state, ") end for field in fieldnames(typeof(s)) setfield!(s, field, getfield(akm_integrator_pair[1], field)) end @@ -501,9 +517,8 @@ function init_sim!(s::AKM; t_end=1.0, stiffness_factor=0.035, prn=false, save=tr prob = DAEProblem{true}(residual!, yd0, y0, tspan, s; differential_vars) integrator = OrdinaryDiffEq.init(prob, solver; abstol=abstol, reltol= s.set.rel_tol, save_everystep=false) - if !any(pair -> fields_equal(pair[1].set, s.set), akm_integrator_pairs) - push!(akm_integrator_pairs, (s, integrator)) - serialize(save_file, akm_integrator_pairs) + if !isnothing(integrator_history) && !any(pair -> fields_equal(pair[1].set, s.set), integrator_history) + pushfirst!(integrator_history, (deepcopy(s), deepcopy(integrator))) end return integrator end @@ -606,8 +621,8 @@ end @compile_workload begin # all calls in this block will be precompiled, regardless of whether # they belong to your package or not (on Julia 1.8 and higher) - integrator = KiteModels.init_sim!(kps3_; stiffness_factor=0.035, prn=false, save=false) - integrator = KiteModels.init_sim!(kps4_; stiffness_factor=0.035, prn=false, save=false) + integrator = KiteModels.init_sim!(kps3_; stiffness_factor=0.035, prn=false, integrator_history=nothing) + integrator = KiteModels.init_sim!(kps4_; stiffness_factor=0.035, prn=false, integrator_history=nothing) nothing end end From 2cde0e9872c63c2eda7aca1a1d346ed83c36342b Mon Sep 17 00:00:00 2001 From: 1-Bart-1 Date: Sat, 25 May 2024 11:01:23 +0200 Subject: [PATCH 03/75] stable data type --- src/KiteModels.jl | 19 ++++++++++--------- 1 file changed, 10 insertions(+), 9 deletions(-) diff --git a/src/KiteModels.jl b/src/KiteModels.jl index c1f207e5..ed5f95c5 100644 --- a/src/KiteModels.jl +++ b/src/KiteModels.jl @@ -448,16 +448,18 @@ function fields_equal(a, b) return true end + +const IntegratorHistory = Vector{Tuple{AbstractKiteModel, Any}} function load_history() + history = IntegratorHistory() if isfile(integrator_history_file) - history = deserialize(integrator_history_file) - else - history = Vector{Tuple}() + println(typeof(deserialize(integrator_history_file))) + append!(history, deserialize(integrator_history_file)) end return history end -function save_history(history::Vector{Tuple}) +function save_history(history::IntegratorHistory) serialize(integrator_history_file, history) end @@ -480,13 +482,12 @@ function init_sim!(s::AKM; t_end=1.0, stiffness_factor=0.035, prn=false, integra clear!(s) s.stiffness_factor = stiffness_factor - if !isnothing(integrator_history) - while length(integrator_history) > 10_000 # around 10MB, 10ms per for loop? + if isa(integrator_history, IntegratorHistory) + while length(integrator_history) > 1000 # around 1MB, 1ms max per for loop pop!(integrator_history) end if prn println("Found $(length(integrator_history)) old steady states.") end - println("Found $(length(integrator_history)) old steady states.") - @time for akm_integrator_pair in integrator_history + for akm_integrator_pair in integrator_history if fields_equal(akm_integrator_pair[1].set, s.set) if prn println("Found similar steady state, ") end for field in fieldnames(typeof(s)) @@ -517,7 +518,7 @@ function init_sim!(s::AKM; t_end=1.0, stiffness_factor=0.035, prn=false, integra prob = DAEProblem{true}(residual!, yd0, y0, tspan, s; differential_vars) integrator = OrdinaryDiffEq.init(prob, solver; abstol=abstol, reltol= s.set.rel_tol, save_everystep=false) - if !isnothing(integrator_history) && !any(pair -> fields_equal(pair[1].set, s.set), integrator_history) + if isa(integrator_history, IntegratorHistory) && !any(pair -> fields_equal(pair[1].set, s.set), integrator_history) pushfirst!(integrator_history, (deepcopy(s), deepcopy(integrator))) end return integrator From 3be8ade794a1124a94cbc24eec0e73027e3dd465 Mon Sep 17 00:00:00 2001 From: 1-Bart-1 Date: Sat, 25 May 2024 11:18:09 +0200 Subject: [PATCH 04/75] update documentation --- src/KiteModels.jl | 9 ++++++++- 1 file changed, 8 insertions(+), 1 deletion(-) diff --git a/src/KiteModels.jl b/src/KiteModels.jl index ed5f95c5..e70f5cb8 100644 --- a/src/KiteModels.jl +++ b/src/KiteModels.jl @@ -450,15 +450,21 @@ end const IntegratorHistory = Vector{Tuple{AbstractKiteModel, Any}} +""" +Load the saved pairs of abstract kite models and corresponding integrators. It is assumed that a certain set of settings +always leads to the same integrator. +""" function load_history() history = IntegratorHistory() if isfile(integrator_history_file) - println(typeof(deserialize(integrator_history_file))) append!(history, deserialize(integrator_history_file)) end return history end +""" +In order to delete the integrator history: just delete data/.integrator_history.bin +""" function save_history(history::IntegratorHistory) serialize(integrator_history_file, history) end @@ -474,6 +480,7 @@ Parameters: - t_end: end time of the simulation; normally not needed - stiffness_factor: factor applied to the tether stiffness during initialisation - prn: if set to true, print the detailed solver results +- integrator_history: an instance of IntegratorHistory containing old pairs of AKM objects and integrators Returns: An instance of a DAE integrator. From 172d5219f001c07d09e4ee3b582f80451b45e882 Mon Sep 17 00:00:00 2001 From: 1-Bart-1 Date: Sat, 25 May 2024 12:05:33 +0200 Subject: [PATCH 05/75] add check for model --- src/KiteModels.jl | 13 ++++++++----- 1 file changed, 8 insertions(+), 5 deletions(-) diff --git a/src/KiteModels.jl b/src/KiteModels.jl index e70f5cb8..f1ebb208 100644 --- a/src/KiteModels.jl +++ b/src/KiteModels.jl @@ -439,9 +439,12 @@ end """ helper function for init sim """ -function fields_equal(a, b) - for field in fieldnames(typeof(a)) - if getfield(a, field) != getfield(b, field) +function fields_equal(a::AKM, b::AKM) + if typeof(a) != typeof(b) + return false + end + for field in fieldnames(typeof(a.set)) + if getfield(a.set, field) != getfield(b.set, field) return false end end @@ -495,7 +498,7 @@ function init_sim!(s::AKM; t_end=1.0, stiffness_factor=0.035, prn=false, integra end if prn println("Found $(length(integrator_history)) old steady states.") end for akm_integrator_pair in integrator_history - if fields_equal(akm_integrator_pair[1].set, s.set) + if fields_equal(akm_integrator_pair[1], s) if prn println("Found similar steady state, ") end for field in fieldnames(typeof(s)) setfield!(s, field, getfield(akm_integrator_pair[1], field)) @@ -525,7 +528,7 @@ function init_sim!(s::AKM; t_end=1.0, stiffness_factor=0.035, prn=false, integra prob = DAEProblem{true}(residual!, yd0, y0, tspan, s; differential_vars) integrator = OrdinaryDiffEq.init(prob, solver; abstol=abstol, reltol= s.set.rel_tol, save_everystep=false) - if isa(integrator_history, IntegratorHistory) && !any(pair -> fields_equal(pair[1].set, s.set), integrator_history) + if isa(integrator_history, IntegratorHistory) && !any(pair -> fields_equal(pair[1], s), integrator_history) pushfirst!(integrator_history, (deepcopy(s), deepcopy(integrator))) end return integrator From a4b736ff970719af90489081d0db2e8d9ab8791f Mon Sep 17 00:00:00 2001 From: 1-Bart-1 Date: Sun, 2 Jun 2024 15:40:26 +0200 Subject: [PATCH 06/75] -a less memory --- src/KiteModels.jl | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/KiteModels.jl b/src/KiteModels.jl index f1ebb208..08086c00 100644 --- a/src/KiteModels.jl +++ b/src/KiteModels.jl @@ -74,7 +74,7 @@ const BRIDLE_DRAG = 1.1 # should probably be removed This type is used for all real variables, used in the Simulation. Possible alternatives: Float32, Double64, Dual Other types than Float64 or Float32 do require support of Julia types by the solver. """ -const SimFloat = Float64 +const SimFloat = Float32 """ const KVec3 = MVector{3, SimFloat} From f2d282dde362422833434d4f089cbcad18a5c19d Mon Sep 17 00:00:00 2001 From: 1-Bart-1 Date: Sun, 2 Jun 2024 15:49:15 +0200 Subject: [PATCH 07/75] -a remove float64 --- src/KPS3.jl | 2 +- src/KPS4.jl | 6 +++--- src/KiteModels.jl | 4 ++-- 3 files changed, 6 insertions(+), 6 deletions(-) diff --git a/src/KPS3.jl b/src/KPS3.jl index 47e26d3a..f5a71a41 100644 --- a/src/KPS3.jl +++ b/src/KPS3.jl @@ -475,7 +475,7 @@ end function init(s::KPS3, X=zeros(2 * (s.set.segments)); old=false, delta = 0.0) res1_, res2_ = init_inner(s, X; old=old, delta = delta) res1, res2 = vcat(reduce(vcat, res1_), [s.l_tether, 0]), vcat(reduce(vcat, res2_),[0,0]) - MVector{6*(s.set.segments)+2, Float64}(res1), MVector{6*(s.set.segments)+2, Float64}(res2) + MVector{6*(s.set.segments)+2, SimFloat}(res1), MVector{6*(s.set.segments)+2, SimFloat}(res2) end """ diff --git a/src/KPS4.jl b/src/KPS4.jl index c2a8f826..17f9d860 100644 --- a/src/KPS4.jl +++ b/src/KPS4.jl @@ -53,7 +53,7 @@ const SPRINGS_INPUT = [0. 1. 150. damping::S = 0.1 # damping coefficent [Ns/m] end -const SP = Spring{Int16, Float64} +const SP = Spring{Int16, SimFloat} const KITE_PARTICLES = 4 const KITE_SPRINGS = 9 const KITE_ANGLE = 3.83 # angle between the kite and the last tether segment due to the mass of the control pod @@ -162,10 +162,10 @@ $(TYPEDFIELDS) z::T = zeros(S, 3) end -@inline @inbounds function norm(vec::SVector{3, Float64}) +@inline @inbounds function norm(vec::SVector{3, SimFloat}) sqrt(vec[1]*vec[1]+vec[2]*vec[2]+vec[3]*vec[3]) end -@inline @inbounds function norm(vec::MVector{3, Float64}) +@inline @inbounds function norm(vec::MVector{3, SimFloat}) sqrt(vec[1]*vec[1]+vec[2]*vec[2]+vec[3]*vec[3]) end diff --git a/src/KiteModels.jl b/src/KiteModels.jl index 08086c00..2e4ea073 100644 --- a/src/KiteModels.jl +++ b/src/KiteModels.jl @@ -509,8 +509,8 @@ function init_sim!(s::AKM; t_end=1.0, stiffness_factor=0.035, prn=false, integra end y0, yd0 = KiteModels.find_steady_state!(s; stiffness_factor=stiffness_factor, prn=prn) - y0 = Vector{Float64}(y0) - yd0 = Vector{Float64}(yd0) + y0 = Vector{SimFloat}(y0) + yd0 = Vector{SimFloat}(yd0) if s.set.solver=="IDA" solver = Sundials.IDA(linear_solver=Symbol(s.set.linear_solver), max_order = s.set.max_order) elseif s.set.solver=="DImplicitEuler" From fc2484788faf56f99ef52f393e8644f9f882ce89 Mon Sep 17 00:00:00 2001 From: 1-Bart-1 Date: Sun, 2 Jun 2024 22:00:31 +0200 Subject: [PATCH 08/75] -a move to simfloat --- data/settings.yaml | 2 +- src/KPS4.jl | 2 +- src/KiteModels.jl | 6 +++--- src/init.jl | 4 ++-- 4 files changed, 7 insertions(+), 7 deletions(-) diff --git a/data/settings.yaml b/data/settings.yaml index f58f7d80..6a5608e3 100644 --- a/data/settings.yaml +++ b/data/settings.yaml @@ -11,7 +11,7 @@ system: initial: l_tether: 150.0 # initial tether length [m] - elevation: 70.7 # initial elevation angle [deg] + elevation: 70.8 # initial elevation angle [deg] v_reel_out: 0.0 # initial reel out speed [m/s] depower: 25.0 # initial depower settings [%] diff --git a/src/KPS4.jl b/src/KPS4.jl index 17f9d860..7f90437d 100644 --- a/src/KPS4.jl +++ b/src/KPS4.jl @@ -419,7 +419,7 @@ function residual!(res, yd, y::MVector{S, SimFloat}, s::KPS4, time) where S posd1, veld1 = partd[:,:,1], partd[:,:,2] posd = SVector{div(T,6)+1}(if i==1 SVector(0.0,0,0) else SVector(posd1[:,i-1]) end for i in 1:div(T,6)+1) veld = SVector{div(T,6)+1}(if i==1 SVector(0.0,0,0) else SVector(veld1[:,i-1]) end for i in 1:div(T,6)+1) - @assert ! isnan(pos[2][3]) + @assert isfinite(pos[2][3]) # core calculations s.l_tether = length diff --git a/src/KiteModels.jl b/src/KiteModels.jl index 2e4ea073..cf406664 100644 --- a/src/KiteModels.jl +++ b/src/KiteModels.jl @@ -74,7 +74,7 @@ const BRIDLE_DRAG = 1.1 # should probably be removed This type is used for all real variables, used in the Simulation. Possible alternatives: Float32, Double64, Dual Other types than Float64 or Float32 do require support of Julia types by the solver. """ -const SimFloat = Float32 +const SimFloat = Float64 """ const KVec3 = MVector{3, SimFloat} @@ -526,7 +526,7 @@ function init_sim!(s::AKM; t_end=1.0, stiffness_factor=0.035, prn=false, integra abstol = s.set.abs_tol # max error in m/s and m differential_vars = ones(Bool, length(y0)) prob = DAEProblem{true}(residual!, yd0, y0, tspan, s; differential_vars) - integrator = OrdinaryDiffEq.init(prob, solver; abstol=abstol, reltol= s.set.rel_tol, save_everystep=false) + integrator = OrdinaryDiffEq.init(prob, solver; abstol=abstol, reltol=s.set.rel_tol, save_everystep=false) if isa(integrator_history, IntegratorHistory) && !any(pair -> fields_equal(pair[1], s), integrator_history) pushfirst!(integrator_history, (deepcopy(s), deepcopy(integrator))) @@ -633,7 +633,7 @@ end # all calls in this block will be precompiled, regardless of whether # they belong to your package or not (on Julia 1.8 and higher) integrator = KiteModels.init_sim!(kps3_; stiffness_factor=0.035, prn=false, integrator_history=nothing) - integrator = KiteModels.init_sim!(kps4_; stiffness_factor=0.035, prn=false, integrator_history=nothing) + integrator = KiteModels.init_sim!(kps4_; stiffness_factor=0.035, prn=false, integrator_history=nothing) nothing end end diff --git a/src/init.jl b/src/init.jl index ff1e5236..08988a2a 100644 --- a/src/init.jl +++ b/src/init.jl @@ -196,14 +196,14 @@ end function init(s::KPS4, X=zeros(2 * (s.set.segments+KITE_PARTICLES-1)+1); old=false, delta=0.0) res1_, res2_ = init_inner(s, X; old=old, delta = delta) res1, res2 = vcat(reduce(vcat, res1_), [s.l_tether, 0]), vcat(reduce(vcat, res2_),[0,0]) - MVector{6*(s.set.segments+KITE_PARTICLES)+2, Float64}(res1), MVector{6*(s.set.segments+KITE_PARTICLES)+2, Float64}(res2) + MVector{6*(s.set.segments+KITE_PARTICLES)+2, SimFloat}(res1), MVector{6*(s.set.segments+KITE_PARTICLES)+2, SimFloat}(res2) end # same as above, but returns a tuple of two one dimensional arrays function init(s::KPS4_3L, X=zeros(2 * (s.set.segments+KITE_PARTICLES-1)+1); old=false, delta=0.0) res1_, res2_ = init_inner(s, X; old=old, delta = delta) res1, res2 = vcat(reduce(vcat, res1_), [s.l_tether, 0]), vcat(reduce(vcat, res2_),[0,0]) - MVector{6*(s.set.segments+KITE_PARTICLES)+2, Float64}(res1), MVector{6*(s.set.segments+KITE_PARTICLES)+2, Float64}(res2) + MVector{6*(s.set.segments+KITE_PARTICLES)+2, SimFloat}(res1), MVector{6*(s.set.segments+KITE_PARTICLES)+2, SimFloat}(res2) end # rotate a 3d vector around the y axis From f4ec07376b25aa051327d07ccadefe5f688af4e6 Mon Sep 17 00:00:00 2001 From: 1-Bart-1 Date: Sat, 15 Jun 2024 13:22:14 +0200 Subject: [PATCH 09/75] two point aero model --- test/calc_lift.jl | 77 +++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 77 insertions(+) create mode 100644 test/calc_lift.jl diff --git a/test/calc_lift.jl b/test/calc_lift.jl new file mode 100644 index 00000000..4875d45e --- /dev/null +++ b/test/calc_lift.jl @@ -0,0 +1,77 @@ +using LinearAlgebra +using QuadGK +using Dierckx + +# Define constants +rho = 1.0 +tip_length = 0.5 +middle_length = 1.5 # length of kite in middle +middle_line = 150.0 # length of line +left_line = 150.0 # length of line +right_line = 150.0 # length of line +d_s = 1.0 # distance between closest steering bridles +r = 10.0 +w = pi*10.0 + +# Define vectors +E = [0; 101; 100] +C = [-1; 101; 101] +D = [1; 101; 101] +v_c = [0; -1; 0] +v_d = [0; -1; 0] +v_e = [0; -1; 0] +v_wind = [0; 1; 0] + + + +const delta_cl = [-10.0, -8.0, -6.0, -4.0, -2.0, 0.0, 2.0, 4.0, 6.0, 8.0, 10.0] # steering_line_length - middle_line_length in cm +const cl_list = [0.15, 1.0, 1.0, 0.08, 0.125, 0.15, 0.0, -0.1, -0.5, -0.5, -1.0] +const c_l = Spline1D(delta_cl./100, cl_list) + +function calc_lift(; n=10, left_line=150.0, right_line=150.0) + # Define functions + P_c = 0.5.*(C+D) + e_y = (C - D) ./ norm(C - D) + e_z = (E - P_c) ./ norm(E - P_c) + e_x = cross(e_y, e_z) + + F(α) = E + e_y*cos(α)*r - e_z*sin(α)*r + e_r(α) = (E - F(α))/norm(E-F(α)) + + v_cx = dot(v_c, e_x).*e_x + v_dx = dot(v_d, e_x).*e_x + v_ey = dot(v_e, e_y).*e_y + v_ez = dot(v_e, e_z).*e_z + y_lc = norm(C - P_c) + y_ld = -norm(D - P_c) + + y_l(α) = cos(α) * r + v_kite(α) = (v_cx - v_dx)./(y_lc - y_ld).*(y_l(α) - y_ld) + v_dx + v_ey + v_ez + v_a(α) = v_wind - v_kite(α) + v_a_xr(α) = v_a(α) - (dot(v_a(α), cross(e_r(α), e_z))*cross(e_r(α), e_z)) + length(α) = (tip_length + (middle_length-tip_length)*α*r/(0.5*w)) + + α_l = 0.5*pi - d_s/(2*r) + α_r = 0.5*pi + d_s/(2*r) + function d(α) + if α < α_l + println(middle_line - left_line) + return middle_line - left_line + elseif α > α_r + return middle_line - right_line + else + return (left_line - right_line) / (α_r - α_l) * (α - α_l) + (middle_line - right_line) + end + end + + dL_dα(α) = (0.5*rho*(norm(v_a_xr(α)))^2*r*length(α)*c_l(d(α))*e_r(α)) + + + # Calculate the integral + # L, err = quadgk(dL_dalpha, 0, pi/2, rtol=1e-1, atol=1e-1) + a = 0 + b = pi/2 + h = (b - a) / n + + L_C = h/2 * (dL_dα(a) + 2*sum(dL_dα(a + i*h) for i in 1:n-1) + dL_dα(b)) +end \ No newline at end of file From 9cbba0312cd47060ae31239c3257a35aa6bbfe61 Mon Sep 17 00:00:00 2001 From: 1-Bart-1 Date: Mon, 17 Jun 2024 10:45:18 +0200 Subject: [PATCH 10/75] working two point aero model --- test/calc_lift.jl | 75 ++++++++++++++++++++++++++++++++--------------- 1 file changed, 51 insertions(+), 24 deletions(-) diff --git a/test/calc_lift.jl b/test/calc_lift.jl index 4875d45e..6ed57b18 100644 --- a/test/calc_lift.jl +++ b/test/calc_lift.jl @@ -9,24 +9,34 @@ middle_length = 1.5 # length of kite in middle middle_line = 150.0 # length of line left_line = 150.0 # length of line right_line = 150.0 # length of line -d_s = 1.0 # distance between closest steering bridles +d_s = 2.0 # distance between closest steering bridles r = 10.0 w = pi*10.0 # Define vectors E = [0; 101; 100] -C = [-1; 101; 101] -D = [1; 101; 101] +C = [-1; 101.1; 101] +D = [1; 101.1; 101] v_c = [0; -1; 0] v_d = [0; -1; 0] v_e = [0; -1; 0] -v_wind = [0; 1; 0] +v_wind = [0; 10; 0] +alpha_cl = [-180.0, -160.0, -90.0, -20.0, -10.0, -5.0, 0.0, 20.0, 40.0, 90.0, 160.0, 180.0] +cl_list = [ 0.0, 0.5, 0.0, 0.08, 0.125, 0.15, 0.2, 1.0, 1.0, 0.0, -0.5, 0.0] +alpha_cd = [-10.0, -8.0, -6.0, -4.0, -2.0, 0.0, 2.0, 4.0, 6.0, 8.0, 10.0] +cd_list = [ 0.2, 0.2, 0.1, 0.1, 0.1, 0.0, 0.1, 0.1, 0.2, 0.2, 0.3] +c_l = Spline1D(deg2rad.(alpha_cl), cl_list) +c_d = Spline1D(deg2rad.(alpha_cd), cd_list) -const delta_cl = [-10.0, -8.0, -6.0, -4.0, -2.0, 0.0, 2.0, 4.0, 6.0, 8.0, 10.0] # steering_line_length - middle_line_length in cm -const cl_list = [0.15, 1.0, 1.0, 0.08, 0.125, 0.15, 0.0, -0.1, -0.5, -0.5, -1.0] -const c_l = Spline1D(delta_cl./100, cl_list) +α_l = π/2 - d_s/(2*r) +α_r = π/2 + d_s/(2*r) + +function acos2(arg) + arg2 = min(max(arg, -one(arg)), one(arg)) + acos(arg2) + end function calc_lift(; n=10, left_line=150.0, right_line=150.0) # Define functions @@ -40,38 +50,55 @@ function calc_lift(; n=10, left_line=150.0, right_line=150.0) v_cx = dot(v_c, e_x).*e_x v_dx = dot(v_d, e_x).*e_x - v_ey = dot(v_e, e_y).*e_y - v_ez = dot(v_e, e_z).*e_z + v_dy = dot(v_d, e_y).*e_y + v_dz = dot(v_d, e_z).*e_z + v_cy = dot(v_c, e_y).*e_y + v_cz = dot(v_c, e_z).*e_z y_lc = norm(C - P_c) y_ld = -norm(D - P_c) y_l(α) = cos(α) * r - v_kite(α) = (v_cx - v_dx)./(y_lc - y_ld).*(y_l(α) - y_ld) + v_dx + v_ey + v_ez + v_kite(α) = α < π/2 ? + ((v_cx - v_dx)./(y_lc - y_ld).*(y_l(α) - y_ld) + v_dx) + v_cy + v_cz : + ((v_cx - v_dx)./(y_lc - y_ld).*(y_l(α) - y_ld) + v_dx) + v_dy + v_dz v_a(α) = v_wind - v_kite(α) - v_a_xr(α) = v_a(α) - (dot(v_a(α), cross(e_r(α), e_z))*cross(e_r(α), e_z)) - length(α) = (tip_length + (middle_length-tip_length)*α*r/(0.5*w)) + v_a_xr(α) = v_a(α) - (dot(v_a(α), cross(e_r(α), e_x))*cross(e_r(α), e_x)) + + length(α) = α < π/2 ? + (tip_length + (middle_length-tip_length)*α*r/(0.5*w)) : + (tip_length + (middle_length-tip_length)*(π-α)*r/(0.5*w)) - α_l = 0.5*pi - d_s/(2*r) - α_r = 0.5*pi + d_s/(2*r) function d(α) if α < α_l - println(middle_line - left_line) + # println(α) + # println(middle_line - left_line) return middle_line - left_line elseif α > α_r return middle_line - right_line else - return (left_line - right_line) / (α_r - α_l) * (α - α_l) + (middle_line - right_line) + return (-right_line + left_line) / (α_r - α_l) * (α - α_l) + (middle_line - left_line) end end + aoa(α) = v_a_xr(α) != [0.0, 0.0, 0.0] ? + π - acos2(normalize(v_a_xr(α)) ⋅ e_x) + atan(d(α)/length(α)) : + atan(d(α)/length(α)) + println("aoa ", aoa(pi/2)) - dL_dα(α) = (0.5*rho*(norm(v_a_xr(α)))^2*r*length(α)*c_l(d(α))*e_r(α)) - + dL_dα(α) = 0.5*rho*(norm(v_a_xr(α)))^2*r*length(α)*c_l(aoa(α)) .* normalize(v_a_xr(α) × (e_r(α) × e_x)) + dD_dα(α) = 0.5*rho*norm(v_a_xr(α))*r*length(α)*c_d(aoa(α)) .* v_a_xr(α) # the sideways drag cannot be calculated with the C_d formula # Calculate the integral - # L, err = quadgk(dL_dalpha, 0, pi/2, rtol=1e-1, atol=1e-1) - a = 0 - b = pi/2 - h = (b - a) / n + α_0 = pi/2 - w/2/r + α_middle = pi/2 + dα = (α_middle - α_0) / n + L_C = sum(dL_dα(α_0 + dα/2 + i*dα) * dα for i in 1:n) + L_D = sum(dL_dα(pi - (α_0 + dα/2 + i*dα)) * dα for i in 1:n) + D_C = sum(dD_dα(α_0 + dα/2 + i*dα) * dα for i in 1:n) + D_D = sum(dD_dα(pi - (α_0 + dα/2 + i*dα)) * dα for i in 1:n) + return L_C, L_D, D_C, D_D +end - L_C = h/2 * (dL_dα(a) + 2*sum(dL_dα(a + i*h) for i in 1:n-1) + dL_dα(b)) -end \ No newline at end of file +println(calc_lift()) +println(calc_lift(n=10, left_line=149, right_line=149.9)) +println(calc_lift(n=10, left_line=149.9, right_line=149)) +println(calc_lift(n=10, left_line=160.9, right_line=160.9)) \ No newline at end of file From 291620d5eae30f68b4075fda5ebd6f7f86a02011 Mon Sep 17 00:00:00 2001 From: 1-Bart-1 Date: Mon, 17 Jun 2024 10:46:51 +0200 Subject: [PATCH 11/75] xournal notes with formulas --- docs/3-line_kite_model.xopp | Bin 0 -> 1410950 bytes 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 docs/3-line_kite_model.xopp diff --git a/docs/3-line_kite_model.xopp 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