From 568b1340381c59f567e5addd92cbba1aa46f93b1 Mon Sep 17 00:00:00 2001 From: Brady Planden <55357039+BradyPlanden@users.noreply.github.com> Date: Wed, 16 Nov 2022 14:45:59 +0000 Subject: [PATCH] Examples + General Code Clean (#31) * Examples Updt. / Citation / Dependancy+Repo Clean / +WLTP / Sim_Model.jl Name Updt. --- CITATION.cff | 8 +- Project.toml | 6 +- README.md | 27 +- examples/CIDRA_Benchmark.jl | 31 + examples/DRA_Benchmark.jl | 141 - examples/LiiBRA_Ex.jl | 111 +- examples/SVD_Benchmark.jl | 34 - examples/WLTP.jl | 67 + .../WLTP/PyBaMM_data.mat | Bin {test => examples}/WLTP/WLTP_M50_M3.mat | Bin examples/{ => figures}/Electrolyte_HPPC.png | Bin LiiBRA.png => examples/figures/LiiBRA.png | Bin LiiBRA.svg => examples/figures/LiiBRA.svg | 0 examples/{ => figures}/Neg_Electrode_HPPC.png | Bin examples/{ => figures}/Pos_Electrode_HPPC.png | Bin examples/{ => figures}/Voltage_HPPC.png | Bin src/Functions/{Sim_Model.jl => Simulate.jl} | 4 +- src/LiiBRA.jl | 59 +- test/WLTP/WLTP_M50_M3.csv | 18004 ---------------- 19 files changed, 214 insertions(+), 18278 deletions(-) create mode 100644 examples/CIDRA_Benchmark.jl delete mode 100644 examples/DRA_Benchmark.jl create mode 100644 examples/WLTP.jl rename test/WLTP/sol_data.mat => examples/WLTP/PyBaMM_data.mat (100%) rename {test => examples}/WLTP/WLTP_M50_M3.mat (100%) rename examples/{ => figures}/Electrolyte_HPPC.png (100%) rename LiiBRA.png => examples/figures/LiiBRA.png (100%) rename LiiBRA.svg => examples/figures/LiiBRA.svg (100%) rename examples/{ => figures}/Neg_Electrode_HPPC.png (100%) rename examples/{ => figures}/Pos_Electrode_HPPC.png (100%) rename examples/{ => figures}/Voltage_HPPC.png (100%) rename src/Functions/{Sim_Model.jl => Simulate.jl} (98%) delete mode 100644 test/WLTP/WLTP_M50_M3.csv diff --git a/CITATION.cff b/CITATION.cff index 736d574..f93f625 100644 --- a/CITATION.cff +++ b/CITATION.cff @@ -16,15 +16,15 @@ authors: - family-names: Morrey given-names: Denise orcid: "https://orcid.org/0000-0002-0105-3425" -journal: "Arxiv" -date-released: 2022-03-31 -doi: 10.48550/arXiv.2203.17105 +journal: "Journal of Energy Storage" +date-released: 2022-11-01 +doi: 10.1016/j.est.2022.105637 keywords: - "lithium-ion battery" - "battery management system" - "reduced-electrochemical model" - "battery modelling" - "julia" -version: "0.2.0" +version: "0.3.2" repository-code: "https://github.com/BradyPlanden/LiiBRA.jl" title: "A Computationally Informed Realisation Algorithm for Lithium-Ion Batteries Implemented with LiiBRA.jl" \ No newline at end of file diff --git a/Project.toml b/Project.toml index ec89559..e7eefe7 100644 --- a/Project.toml +++ b/Project.toml @@ -1,7 +1,7 @@ name = "LiiBRA" uuid = "a5b28938-1935-4481-b801-30e5c8ed4e83" authors = ["Brady Planden "] -version = "0.3.1" +version = "0.3.2" [deps] FFTW = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341" @@ -10,7 +10,6 @@ LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e" Parameters = "d96e819e-fc66-5662-9728-84c9c7592b0a" Roots = "f2b01f46-fcfa-551c-844a-d8ac1e96c665" Statistics = "10745b16-79ce-11e8-11f9-7d13ad32a3b2" -StatsBase = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91" TSVD = "9449cd9e-2762-5aa3-a617-5413e99d722e" Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40" UnitSystems = "3a241a3c-2137-41aa-af5e-1388e404ca09" @@ -20,7 +19,6 @@ FFTW = "1.4" Interpolations = "0.13, 0.14" Parameters = "0.12" Roots = "1.3, 2" -StatsBase = "0.33" TSVD = "0.4" UnitSystems = "0.3" -julia = "1.7" +julia = "1.7, 1.8" diff --git a/README.md b/README.md index f140cb9..7ed12c7 100644 --- a/README.md +++ b/README.md @@ -6,12 +6,14 @@ [![DOI:10.1016/j.est.2022.105637](http://img.shields.io/badge/DOI-10.1016/j.est.2022.105637-blue.svg)](https://doi.org/10.1016/j.est.2022.105637)

- +

## Create and Simulate Reduced Order Lithium-Ion Battery Models LiBRA provides an open-source implementation of realisation algorithms used for generating reduced-order state-space models. This work aims to develop real-time capable physics-informed models for deployment onto embedded hardware. LiiBRA provides capabilities in offline and online model creation, as well as a framework for lithium-ion degradation predictions. For more information on LiiBRA, and the computationally-informed discrete realisation algorithm (CI-DRA), please refer to the publication above. +Further examples are located in the "examples" directory. Please open an [issue] if you have requests or ideas for additional examples. + Install (Julia 1.7 and later) ----------------------------- @@ -30,19 +32,19 @@ using LiiBRA, Plots Setup: ```julia Cell = Construct("LG M50") -SList = collect(1.0:-0.25:0.0) +Ŝ = collect(1.0:-0.25:0.0) SOC = 0.75 -T = 298.15 +Cell.Const.T = 298.15 ``` Realisation: ```julia -A,B,C,D = Realise(Cell,SList,T); +A,B,C,D = Realise(Cell,Ŝ); ``` HPPC Simulation: ```julia -Results = HPPC(Cell,SList,SOC,4.0,-3.0,A,B,C,D); +Results = HPPC(Cell,Ŝ,SOC,4.0,-3.0,A,B,C,D); ``` Plotting Results: @@ -63,7 +65,7 @@ plot(Results.t, Results.Cell_V; ```

- +

```julia @@ -74,14 +76,14 @@ plot(Results.t, Results.Ce; right_margin = 15Plots.mm, ylabel = "Electrolyte Concen. (mol/m³)", xlabel = "Time (s)", - title="Spacial Electrolyte Concentration", + title="Electrolyte Concentration", label=["Neg. Separator Interface" "Neg. Current Collector" "Pos. Current Collector" "Pos. Separator Interface"], size=(1280,720) ) ```

- +

```julia @@ -92,14 +94,14 @@ plot(Results.t, Results.Cse_Pos; right_margin = 15Plots.mm, ylabel = "Concentration (mol/m³)", xlabel = "Time (s)", - title="Spacial Positive Electrode Concentration", + title="Positive Electrode Concentration", label=["Current Collector" "Separator Interface"], size=(1280,720) ) ```

- +

```julia @@ -110,14 +112,14 @@ plot(Results.t, Results.Cse_Neg; right_margin = 15Plots.mm, ylabel = "Concentration (mol/m³)", xlabel = "Time [s]", - title="Spacial Negative Electrode Concentration", + title="Negative Electrode Concentration", label=["Current Collector" "Separator Interface"], size=(1280,720) ) ```

- +

@@ -126,3 +128,4 @@ plot(Results.t, Results.Cse_Neg; Please report any issues using the Github [issue tracker]. All feedback is welcome. [issue tracker]: https://github.com/BradyPlanden/LiiBRA/issues +[issue]: https://github.com/BradyPlanden/LiiBRA/issues diff --git a/examples/CIDRA_Benchmark.jl b/examples/CIDRA_Benchmark.jl new file mode 100644 index 0000000..a22ebb6 --- /dev/null +++ b/examples/CIDRA_Benchmark.jl @@ -0,0 +1,31 @@ +using BenchmarkTools, LiiBRA +BenchmarkTools.DEFAULT_PARAMETERS.seconds = 10 +Cell = Construct("LG M50") +Ŝ = SOC = 0.8 + +function DRA_Loop(Cell, Ŝ) + + # Arrhenius + Cell.Const.T = 298.15 + Arr_Factor = (1/Cell.Const.T_ref-1/Cell.Const.T)/R + + # Realisation Variables + Cell.RA.H1 = [1:2000; 3000:3500] + Cell.RA.H2 = [1:2000; 3000:3500] + Cell.RA.Fs = 4 + Cell.RA.Tlen = 16200 + Cell.RA.M = 4 + Cell.RA.SamplingT = 1/4 + + # Set Cell Constants + Cell.Const.κ = Cell.Const.κf(Cell.Const.ce0)*exp(Cell.Const.Ea_κ*Arr_Factor) + Cell.RA.Nfft = Cell.RA.Nfft!(Cell.RA.Fs, Cell.RA.Tlen) + Cell.RA.f = Cell.RA.f!(Cell.RA.Nfft) + Cell.RA.s = Cell.RA.s!(Cell.RA.Fs,Cell.RA.Nfft,Cell.RA.f) + Cell.Neg.β = Cell.Neg.β!(Cell.RA.s) + Cell.Pos.β = Cell.Pos.β!(Cell.RA.s) + + return @benchmark CIDRA(Cell) +end + +Time = DRA_Loop(Cell, Ŝ) diff --git a/examples/DRA_Benchmark.jl b/examples/DRA_Benchmark.jl deleted file mode 100644 index 2ff7631..0000000 --- a/examples/DRA_Benchmark.jl +++ /dev/null @@ -1,141 +0,0 @@ -using BenchmarkTools, LiiBRA, MAT, StatsBase#, Plots - -BenchmarkTools.DEFAULT_PARAMETERS.seconds = 40 -Cell = Construct("LG M50") -#SList = collect(1.0:-0.25:0.) -SList = collect(0.8) -SOC = 0.717 -T = 298.15 - -Rng = 1:1496 -function Hankel_Rng(Rng) - for i ∈ 2000:1000:5000 - Rng = [Rng;i+500:i+750] - end - return Rng -end -Rng = Hankel_Rng(Rng) - - -function DRA_Loop(Cell, SList::Array, T::Float64) - A = B = C = D = Time = x = tuple() - for i in 2:4:2 - - #Arrhenius - Cell.Const.T = T - Arr_Factor = (1/Cell.Const.T_ref-1/Cell.Const.T)/R - - Cell.RA.H1 = Rng #1:3500 - Cell.RA.H2 = Rng #1:3500 - Cell.RA.Fs = 4 - Cell.RA.Tlen = 16200 #(1+size(Cell.RA.H1,1)/Cell.RA.Fs)*17 - Cell.RA.M = 4 - Cell.RA.SamplingT = 1/4 - - #Set Cell Constants - Cell.Const.κ = Cell.Const.κf(Cell.Const.ce0)*exp(Cell.Const.Ea_κ*Arr_Factor) - Cell.RA.Nfft = Cell.RA.Nfft!(Cell.RA.Fs, Cell.RA.Tlen) - Cell.RA.f = Cell.RA.f!(Cell.RA.Nfft) - Cell.RA.s = Cell.RA.s!(Cell.RA.Fs,Cell.RA.Nfft,Cell.RA.f) - Cell.Neg.β = Cell.Neg.β!(Cell.RA.s) - Cell.Pos.β = Cell.Pos.β!(Cell.RA.s) - - # for Cell.Const.SOC in SList - # #Realisation - # A_DRA, B_DRA, C_DRA, D_DRA = CIDRA(Cell) - # A = flatten_(A,A_DRA) - # B = flatten_(B,B_DRA) - # C = flatten_(C,C_DRA) - # D = flatten_(D,D_DRA) - # end - x = @benchmark CIDRA(Cell) - Time = flatten_(Time,x) - - end - return Time, A, B, C, D -end - -#---------- Experimental Data -----------------# - -function Sim_loop(Cell, Input, SList, SOC, A, B, C, D) - CellV = tDra = Ce = jNeg = jPos = RtotNeg = RtotPos = η0 = ηL = η_neg = η_pos = ϕ_ẽ1 = ϕ_ẽ2 = Uocp_Neg = Uocp_Pos = ϕ_e = Cse_Neg = Cse_Pos = Cell_SOC = SimTime = x = tuple() - for i in Int64(1/Cell.RA.SamplingT):Int64(1/Cell.RA.SamplingT):Int64(1/Cell.RA.SamplingT) - Tk = ones(length(Input))*298.15 #Cell Temperature - time_ = 0:(1.0/i):(length(Input)*(1/i)) - tDra = flatten_(tDra,time_) - - # u = 1 - # k = 0 - # for i in 1:Int64(tuple_len(C)/length(SList)) - - # k += length(SList) - Cell_V, Ce_, jNeg, jPos, Rtot_neg, Rtot_pos, η0, ηL, η_neg, η_pos, ϕ_ẽ1, ϕ_ẽ2, Uocp_Neg_, Uocp_Pos_, ϕ_e, Cse_Neg_, Cse_Pos_, Cell_SOC, jeq_neg, jeq_pos, j0, jL, tDra = Sim_Model(Cell,Input,"Power",Tk,SList,SOC,A,B,C,D,tDra) - # u = k+1 - - CellV = flatten_(CellV,Cell_V) - Ce = flatten_(Ce,Ce_) - Cse_Neg = flatten_(Cse_Neg,Cse_Neg_) - Cse_Pos = flatten_(Cse_Pos,Cse_Pos_) - Uocp_Neg = flatten_(Uocp_Neg,Uocp_Neg_) - Uocp_Pos = flatten_(Uocp_Pos,Uocp_Pos_) - - # end - #for i in 1:12 - # @time Sim_Model(Cell,Input,"Power",Tk,SList,SOC,A,B,C,D) - #end - end - return CellV, Ce, jNeg, jPos, RtotNeg, RtotPos, η0, ηL, η_neg, η_pos, ϕ_ẽ1, ϕ_ẽ2, Uocp_Neg, Uocp_Pos, ϕ_e, Cse_Neg, Cse_Pos, tDra, Cell_SOC - end - - function Stats() - for i in 1:tuple_len(CellV) - Rms_V[i] = rmsd(CellV[i],Pyb_V) # V - Max_V[i] = maxad(CellV[i],Pyb_V) # V - - Rms_Cn[i] = rmsd(Cse_Neg[i][:,end],Pyb_Cn[20,20,:]) #mol - Max_Cn[i] = maxad(Cse_Neg[i][:,end],Pyb_Cn[20,20,:]) #mol - - Rms_Cp[i] = rmsd(Cse_Pos[i][:,end],Pyb_Cp[20,20,:]) #mol - Max_Cp[i] = maxad(Cse_Pos[i][:,end],Pyb_Cp[20,20,:]) #mol - - end - return Rms_Cn, Max_Cn, Rms_Cp, Max_Cp, Rms_V, Max_V - end - - -function Sensitivity(Rng,SList,WLTP_P,SOC) - k=1 - Output = ones(length(Rng)^2,3) - for i ∈ Rng - for j ∈ Rng - @show Cell.Pos.L = i - @show Cell.Neg.L = j - Time, A, B, C, D = DRA_Loop(Cell, SList, T) - #Iapp = [ones(1)*0.; ones(10*i)*4.8181; ones(40*i)*0.; ones(10*i)*-3.613; ones(40*i+1)*0.] #1C HPPC Experiment Current Profile - CellV, Ce, jNeg, jPos, RtotNeg, RtotPos, η0, ηL, η_neg, η_pos, ϕ_ẽ1, ϕ_ẽ2, Uocp_Neg, Uocp_Pos, ϕ_e, Cse_Neg, Cse_Pos, tDra, Cell_SOC, SimTime = Sim_loop(Cell, WLTP_P, SList, SOC, A, B, C, D) - Output[k,:] = [mean(CellV[1]), i, j] - k+=1 - end - end - return Output -end - -WLTP_File = matopen("test/WLTP/WLTP_M50_M3.mat") -WLTP_P = read(WLTP_File,"P_Models") -Time, A, B, C, D = DRA_Loop(Cell, SList, T) -# CellV, Ce, jNeg, jPos, RtotNeg, RtotPos, η0, ηL, η_neg, η_pos, ϕ_ẽ1, ϕ_ẽ2, Uocp_Neg, Uocp_Pos, ϕ_e, Cse_Neg, Cse_Pos, tDra, Cell_SOC = Sim_loop(Cell, WLTP_P, SList, SOC, A, B, C, D) -#Output = Sensitivity(20e-6:10e-6:100e-6,SList,WLTP_P,SOC) - -# Pyb_File = matopen("test/WLTP/sol_data.mat")# -# Pyb_Cn = read(Pyb_File,"c_n") -# Pyb_Cp = read(Pyb_File,"c_p") -# Pyb_T = read(Pyb_File,"t") -# Pyb_V = read(Pyb_File,"V") -# Rms_Cn = Array{Float64}(undef,tuple_len(CellV),1) -# Max_Cn = Array{Float64}(undef,tuple_len(CellV),1) -# Rms_Cp = Array{Float64}(undef,tuple_len(CellV),1) -# Max_Cp = Array{Float64}(undef,tuple_len(CellV),1) -# Rms_V = Array{Float64}(undef,tuple_len(CellV),1) -# Max_V = Array{Float64}(undef,tuple_len(CellV),1) - -# Rms_Cn, Max_Cn, Rms_Cp, Max_Cp, Rms_V = Stats() \ No newline at end of file diff --git a/examples/LiiBRA_Ex.jl b/examples/LiiBRA_Ex.jl index 4c88162..42476bb 100644 --- a/examples/LiiBRA_Ex.jl +++ b/examples/LiiBRA_Ex.jl @@ -1,61 +1,66 @@ using LiiBRA, Plots +plotly() +default(show = true) #---------- Cell Definition -----------------# -Cell = Construct("LG M50") #Alternative "Doyle_94" -SList = collect(0.85:-0.05:0.65) -SOC = 0.75 - -#---------- Generate Models -----------------# -function Realise(Cell, SList) - A = B = C = D = tuple() - for i in SList - #Arrhenius - Cell.Const.T = 298.15 - Arr_Factor = (1/Cell.Const.T_ref-1/Cell.Const.T)/R - - #Set Cell Constants - Cell.Const.SOC = i - Cell.Const.κ = Cell.Const.κf(Cell.Const.ce0)*exp(Cell.Const.Ea_κ*Arr_Factor) - Cell.RA.Nfft = Cell.RA.Nfft!(Cell.RA.Fs, Cell.RA.Tlen) - Cell.RA.f = Cell.RA.f!(Cell.RA.Nfft) - Cell.RA.s = Cell.RA.s!(Cell.RA.Fs,Cell.RA.Nfft,Cell.RA.f) - - #Realisation - Aϕ, Bϕ, Cϕ, Dϕ = DRA(Cell,Cell.RA.s,Cell.RA.f) - - #Flatten output into Tuples - A = flatten_(A,Aϕ) - B = flatten_(B,Bϕ) - C = flatten_(C,Cϕ) - D = flatten_(D,Dϕ) - end -return A, B, C, D -end +Cell = Construct("LG M50") +Cell.RA.Fs = 4.0 # Modify transfer function sampling frequency +Cell.RA.SamplingT = 0.25 # Modify final system sampling period +Cell.Neg.Ds = 2.0e-14 # Modify negative electrode diffusion constant +Cell.Const.T = 298.15 # Modify cell temperature +Ŝ = collect(1.0:-1:0) # List of SOC points for model generation +SOC = 1. # Starting SOC +#---------- Generate & Simulate Model -----------------# +A, B, C, D = Realise(Cell, Ŝ) +Results = HPPC(Cell,Ŝ,SOC,4.0,-3.0,A,B,C,D); -#---------- Simulate Models -----------------# -function Simulate(Cell,SList,Init_SOC,A,B,C,D) - - #Set Experiment - i = Int64(1/Cell.RA.SamplingT) #Sampling Frequency - Iapp = [ones(1)*0.; ones(10*i)*4.8181; ones(40*i)*0.; ones(10*i)*-3.613; ones(40*i)*0.] #1C HPPC Experiment Current Profile - Tk = ones(size(Iapp))*298.15 #Cell Temperature - tDra = 0:(1.0/i):((length(Iapp)-1)/i) - - #Simulate Model - return Sim_Model(Cell,Iapp,Tk,SList,Init_SOC,A,B,C,D,tDra) -end - -#---------- Generate Model -----------------# -A, B, C, D = Realise(Cell, SList) +#----------- Plotting ---------------------------# +plot(Results.t, Results.Cell_V; + legend=:topright, + color=:blue, + bottom_margin=5Plots.mm, + left_margin = 5Plots.mm, + right_margin = 15Plots.mm, + ylabel = "Terminal Voltage (V)", + xlabel = "Time (s)", + title="HPPC Voltage", + label="Voltage", + size=(1280,720) + ) +plot(Results.t, Results.Ce; + legend=:topright, + bottom_margin=5Plots.mm, + left_margin = 5Plots.mm, + right_margin = 15Plots.mm, + ylabel = "Electrolyte Concen. (mol/m³)", + xlabel = "Time (s)", + title="Electrolyte Concentration", + label=["Neg. Separator Interface" "Neg. Current Collector" "Pos. Current Collector" "Pos. Separator Interface"], + size=(1280,720) + ) -#---------- Simulate Model -----------------# -Cell_V, Ce, jNeg, jPos, RtotNeg, RtotPos, η0, ηL, η_neg, η_pos, ϕ_ẽ1, ϕ_ẽ2, Uocp_Neg, Uocp_Pos, ϕ_e, Cse_Neg, Cse_Pos, Cell_SOC, tDra, j0, jL = Simulate(Cell,SList,Init_SOC,A,B,C,D) +plot(Results.t, Results.Cse_Pos; + legend=:topright, + bottom_margin=5Plots.mm, + left_margin = 5Plots.mm, + right_margin = 15Plots.mm, + ylabel = "Concentration (mol/m³)", + xlabel = "Time (s)", + title="Positive Electrode Concentration", + label=["Current Collector" "Separator Interface"], + size=(1280,720) + ) -#----------- Plotting ---------------------------# -plotly() -display(plot(tDra[1:end-1],Cell_V[1:end-1], legend=:topright,color=:blue,bottom_margin=5Plots.mm, left_margin = 5Plots.mm, right_margin = 15Plots.mm, ylabel = "Terminal Voltage [V]", xlabel = "Time [s]")) -display(plot(tDra[1:end-1],Ce[1:end-1,:], legend=:topright,bottom_margin=5Plots.mm, left_margin = 5Plots.mm, right_margin = 15Plots.mm, ylabel = "Electrolyte Concen. [mol/m^3]", xlabel = "Time [s]")) -display(plot(tDra[1:end-1],Cse_Pos[1:end-1,:], legend=:topright,bottom_margin=5Plots.mm, left_margin = 5Plots.mm, right_margin = 15Plots.mm, ylabel = "Pos. Electrode Concen. [mol/m^3]", xlabel = "Time [s]")) -display(plot(tDra[1:end-1],Cse_Neg[1:end-1,:], legend=:topright,bottom_margin=5Plots.mm, left_margin = 5Plots.mm, right_margin = 15Plots.mm, ylabel = "Neg. Electrode Concen. [mol/m^3]", xlabel = "Time [s]")) +plot(Results.t, Results.Cse_Neg; + legend=:topright, + bottom_margin=5Plots.mm, + left_margin = 5Plots.mm, + right_margin = 15Plots.mm, + ylabel = "Concentration (mol/m³)", + xlabel = "Time [s]", + title="Negative Electrode Concentration", + label=["Current Collector" "Separator Interface"], + size=(1280,720) + ) \ No newline at end of file diff --git a/examples/SVD_Benchmark.jl b/examples/SVD_Benchmark.jl index b16ecc2..ef95a37 100644 --- a/examples/SVD_Benchmark.jl +++ b/examples/SVD_Benchmark.jl @@ -3,33 +3,11 @@ import PROPACK.tsvd as tsvdpro H1 = 0:4500 H2 = 0:4500 - - BenchmarkTools.DEFAULT_PARAMETERS.seconds = 10 puls = load("puls_57600.jld2", "puls") Puls_L = size(puls,1) Hank = Array{Float64}(undef,length(H1)*Puls_L,length(H2)) -#---------- Cell Definition -----------------# -# Cell = Construct("LG M50") #Alternative "Doyle_94" -# Init_SOC = 0.75 - - -# #Arrhenius -# Cell.Const.T = 298.15 -# Arr_Factor = (1/Cell.Const.T_ref-1/Cell.Const.T)/R - -# #Set Cell Constants -# Cell.Const.SOC = Init_SOC -# Cell.RA.Tlen = 57600 -# Cell.Const.κ = Cell.Const.κf(Cell.Const.ce0)*exp(Cell.Const.Ea_κ*Arr_Factor) -# Cell.RA.Nfft = Cell.RA.Nfft!(Cell.RA.Fs, Cell.RA.Tlen) -# Cell.RA.f = Cell.RA.f!(Cell.RA.Nfft) -# Cell.RA.s = Cell.RA.s!(Cell.RA.Fs,Cell.RA.Nfft,Cell.RA.f) -# Cell.Neg.β = Cell.Neg.β!(Cell.RA.s) -# Cell.Pos.β = Cell.Pos.β!(Cell.RA.s) - - function SVD!(Hank,puls,Hlen1,Hlen2) A = T = P = tuple() Puls_L = size(puls,1) @@ -43,16 +21,4 @@ function SVD!(Hank,puls,Hlen1,Hlen2) return A,T,P end - -# @inline function DRA_loop(Cell) -# x = Time = tuple() -# for i in 1500:500:5000 -# Cell.RA.H1 = 0:i -# Cell.RA.H2 = 0:i -# x = @benchmark DRA(Cell,Cell.RA.s,Cell.RA.f) -# Time = flatten_(Time,x) -# end -# return Time -# end - A,T,P = SVD!(Hank,puls,H1,H2) diff --git a/examples/WLTP.jl b/examples/WLTP.jl new file mode 100644 index 0000000..daff327 --- /dev/null +++ b/examples/WLTP.jl @@ -0,0 +1,67 @@ +using LiiBRA, MAT, Plots +plotly() +default(show = true) + +#---------- Cell Definition -----------------# +Cell = Construct("LG M50") +Ŝ = collect(1.0:-1:0.) +SOC = 0.717 +WLTP_File = matopen("examples/WLTP/WLTP_M50_M3.mat") +WLTP_P = read(WLTP_File,"P_Models") + +#---------- Generate & Simulate Model -----------------# +Cell.RA.H1 = Cell.RA.H2 = [1:2000; 3000:3500; 4000:4250] +A, B, C, D = Realise(Cell, Ŝ) +Results = WLTP(Cell, Ŝ, SOC, WLTP_P, A, B, C, D) + + +#----------- Plotting ---------------------------# +plot(Results.t, Results.Cell_V; + legend=:topright, + color=:blue, + bottom_margin=5Plots.mm, + left_margin = 5Plots.mm, + right_margin = 15Plots.mm, + ylabel = "Terminal Voltage (V)", + xlabel = "Time (s)", + title="WLTP Voltage", + label="Voltage", + size=(1280,720) + ) + +plot(Results.t, Results.Ce; + legend=:topright, + bottom_margin=5Plots.mm, + left_margin = 5Plots.mm, + right_margin = 15Plots.mm, + ylabel = "Electrolyte Concen. (mol/m³)", + xlabel = "Time (s)", + title="Electrolyte Concentration", + label=["Neg. Separator Interface" "Neg. Current Collector" "Pos. Current Collector" "Pos. Separator Interface"], + size=(1280,720) + ) + +plot(Results.t, Results.Cse_Pos; + legend=:topright, + bottom_margin=5Plots.mm, + left_margin = 5Plots.mm, + right_margin = 15Plots.mm, + ylabel = "Concentration (mol/m³)", + xlabel = "Time (s)", + title="Positive Electrode Concentration", + label=["Current Collector" "Separator Interface"], + size=(1280,720) + ) + +plot(Results.t, Results.Cse_Neg; + legend=:topright, + bottom_margin=5Plots.mm, + left_margin = 5Plots.mm, + right_margin = 15Plots.mm, + ylabel = "Concentration (mol/m³)", + xlabel = "Time [s]", + title="Negative Electrode Concentration", + label=["Current Collector" "Separator Interface"], + size=(1280,720) + ) + diff --git a/test/WLTP/sol_data.mat b/examples/WLTP/PyBaMM_data.mat similarity index 100% rename from test/WLTP/sol_data.mat rename to examples/WLTP/PyBaMM_data.mat diff --git a/test/WLTP/WLTP_M50_M3.mat b/examples/WLTP/WLTP_M50_M3.mat similarity index 100% rename from test/WLTP/WLTP_M50_M3.mat rename to examples/WLTP/WLTP_M50_M3.mat diff --git a/examples/Electrolyte_HPPC.png b/examples/figures/Electrolyte_HPPC.png similarity index 100% rename from examples/Electrolyte_HPPC.png rename to examples/figures/Electrolyte_HPPC.png diff --git a/LiiBRA.png b/examples/figures/LiiBRA.png similarity index 100% rename from LiiBRA.png rename to examples/figures/LiiBRA.png diff --git a/LiiBRA.svg b/examples/figures/LiiBRA.svg similarity index 100% rename from LiiBRA.svg rename to examples/figures/LiiBRA.svg diff --git a/examples/Neg_Electrode_HPPC.png b/examples/figures/Neg_Electrode_HPPC.png similarity index 100% rename from examples/Neg_Electrode_HPPC.png rename to examples/figures/Neg_Electrode_HPPC.png diff --git a/examples/Pos_Electrode_HPPC.png b/examples/figures/Pos_Electrode_HPPC.png similarity index 100% rename from examples/Pos_Electrode_HPPC.png rename to examples/figures/Pos_Electrode_HPPC.png diff --git a/examples/Voltage_HPPC.png b/examples/figures/Voltage_HPPC.png similarity index 100% rename from examples/Voltage_HPPC.png rename to examples/figures/Voltage_HPPC.png diff --git a/src/Functions/Sim_Model.jl b/src/Functions/Simulate.jl similarity index 98% rename from src/Functions/Sim_Model.jl rename to src/Functions/Simulate.jl index 37f99b1..09c52cc 100644 --- a/src/Functions/Sim_Model.jl +++ b/src/Functions/Simulate.jl @@ -1,4 +1,4 @@ -function Sim_Model(Cell,Input,Def,Tk,SList,SOC,A0,B0,C0,D0,t) +function Simulate(Cell,Input,Def,Tk,SList,SOC,A0,B0,C0,D0,t) """ Function to simulate generated reduced-order models. @@ -205,7 +205,7 @@ function Sim_Model(Cell,Input,Def,Tk,SList,SOC,A0,B0,C0,D0,t) if Def == "Power" - Results.Iapp[i+2] = Input[i+1,1]/Cell_V[i+1] + Results.Iapp[i+2] = Input[i+1,1]/Results.Cell_V[i+1] else Results.Iapp[i+2] = Input[i+1,1] end diff --git a/src/LiiBRA.jl b/src/LiiBRA.jl index 20cd80f..5448820 100644 --- a/src/LiiBRA.jl +++ b/src/LiiBRA.jl @@ -3,8 +3,8 @@ module LiiBRA using UnitSystems, Parameters, LinearAlgebra, FFTW using TSVD, Roots, Statistics, Interpolations#, JLD2 export C_e, Flux, C_se, Phi_s, Phi_e, Phi_se, CIDRA -export flatten_, R, F, Sim_Model, D_Linear, Construct, tuple_len, interp -export Realise, HPPC, fh!, mag!, findnearest, CC +export flatten_, R, F, Simulate, D_Linear, Construct, tuple_len, interp +export Realise, HPPC, fh!, mag!, findnearest, CC, WLTP include("Functions/C_e.jl") include("Functions/C_se.jl") @@ -12,7 +12,7 @@ include("Functions/Flux.jl") include("Functions/Phi_s.jl") include("Functions/Phi_e.jl") include("Functions/Phi_se.jl") -include("Functions/Sim_Model.jl") +include("Functions/Simulate.jl") include("Methods/CIDRA.jl") const F,R = faraday(Metric), universal(SI2019) #Faraday Constant / Universal Gas Constant @@ -20,14 +20,13 @@ findnearest(A,x) = argmin(abs.(A .- x)) # Find Nearest for SOC initialisation #---------- Generate Model -----------------# -function Realise(Cell, SList::Array, T::Float64) +function Realise(Cell, Ŝ::Array) A = B = C = D = tuple() - for i in SList - #Arrhenius - Cell.Const.T = T + for i in Ŝ + # Arrhenius Arr_Factor = (1/Cell.Const.T_ref-1/Cell.Const.T)/R - #Set Cell Constants + # Set Cell Constants Cell.Const.SOC = i Cell.Const.κ = Cell.Const.κf(Cell.Const.ce0)*exp(Cell.Const.Ea_κ*Arr_Factor) Cell.RA.Nfft = Cell.RA.Nfft!(Cell.RA.Fs, Cell.RA.Tlen) @@ -36,10 +35,10 @@ function Realise(Cell, SList::Array, T::Float64) Cell.Neg.β = Cell.Neg.β!(Cell.RA.s) Cell.Pos.β = Cell.Pos.β!(Cell.RA.s) - #Realisation + # Realisation Aϕ, Bϕ, Cϕ, Dϕ = CIDRA(Cell) - #Flatten output into Tuples + # Flatten output into Tuples A = flatten_(A,Aϕ) B = flatten_(B,Bϕ) C = flatten_(C,Cϕ) @@ -51,29 +50,41 @@ end #---------- HPPC Simulation -----------------# -function HPPC(Cell,SList::Array,SOC::Float64,λ::Float64,ϕ::Float64,A::Tuple,B::Tuple,C::Tuple,D::Tuple) +function HPPC(Cell, Ŝ::Array, SOC::Float64, λ::Float64, ϕ::Float64, A::Tuple, B::Tuple, C::Tuple, D::Tuple) - #Set Experiment + # Set Experiment i = Int64(1/Cell.RA.SamplingT) #Sampling Frequency Input = [zero(i); ones(10*i)*λ; zeros(40*i); ones(10*i)*ϕ; zeros(40*i)] #1C HPPC Experiment Current Profile Tk = ones(size(Input))*Cell.Const.T #Cell Temperature t = 0:(1.0/i):((length(Input)-1)/i) - #Simulate Model - return Sim_Model(Cell,Input,"Current",Tk,SList,SOC,A,B,C,D,t) + # Simulate Model + return Simulate(Cell,Input,"Current",Tk,Ŝ,SOC,A,B,C,D,t) end #---------- Constant Current Simulation -----------------# -function CC(Cell, SList::Array, SOC::Float64, λ::Float64, γ, A::Tuple, B::Tuple, C::Tuple, D::Tuple) +function CC(Cell, Ŝ::Array, SOC::Float64, λ::Float64, γ, A::Tuple, B::Tuple, C::Tuple, D::Tuple) - #Set Experiment + # Set Experiment i = 1/Cell.RA.SamplingT # Sampling Frequency Input = ones(Int64(γ*i))*λ #CC Profile Tk = ones(size(Input))*Cell.Const.T #Cell Temperature t = 0:(1.0/i):((length(Input)-1)/i) - #Simulate Model - return Sim_Model(Cell,Input,"Current",Tk,SList,SOC,A,B,C,D,t) + # Simulate Model + return Simulate(Cell,Input,"Current",Tk,Ŝ,SOC,A,B,C,D,t) +end + +#---------- WLTP Simulation -----------------# +function WLTP(Cell, Ŝ::Array, SOC::Float64, Cycle::Array, A::Tuple, B::Tuple, C::Tuple, D::Tuple) + + # Set Experiment + i = Int64(1/Cell.RA.SamplingT) #Sampling Frequency + Tk = ones(size(Cycle))*Cell.Const.T #Cell Temperature + t = 0:(1.0/i):((length(Cycle)-1)/i) + + # Simulate Model + return Simulate(Cell,Cycle,"Power",Tk,Ŝ,SOC,A,B,C,D,t) end #---------- Hankel Formation & SVD -----------------# @@ -157,23 +168,23 @@ tuple_len(::NTuple{N, Any}) where {N} = N #Tuple Size #---------- Interpolate -----------------# """ - interp(MTup::Tuple,SList::Array,SOC) + interp(MTup::Tuple,Ŝ::Array,SOC) Function to interpolate Tuple indices """ -function interp(MTup::Tuple,SList::Array,SOC) +function interp(MTup::Tuple,Ŝ::Array,SOC) T1 = 1 T2 = 1 - for i in 1:length(SList)-1 - if SList[i] > SOC >= SList[i+1] + for i in 1:length(Ŝ)-1 + if Ŝ[i] > SOC >= Ŝ[i+1] T1 = i T2 = i+1 - elseif SList[i] == SOC + elseif Ŝ[i] == SOC return MTup[i] end end - return M = @. MTup[T2]+(MTup[T1]-MTup[T2])*(SOC-SList[T2])/(SList[T1]-SList[T2]) + return M = @. MTup[T2]+(MTup[T1]-MTup[T2])*(SOC-Ŝ[T2])/(Ŝ[T1]-Ŝ[T2]) end #---------- Magnitude of an Array -----------------# diff --git a/test/WLTP/WLTP_M50_M3.csv b/test/WLTP/WLTP_M50_M3.csv deleted file mode 100644 index dfeb855..0000000 --- a/test/WLTP/WLTP_M50_M3.csv +++ /dev/null @@ -1,18004 +0,0 @@ -# Based on the WLTC drive cycle, -# see #1264 for discussion and how to use this drive cycle, -# time [s],Power [W] -0,0 -0.1,0 -0.2,0 -0.3,0 -0.4,0 -0.5,0 -0.6,0 -0.7,0 -0.8,0 -0.9,0 -1,0 -1.1,0 -1.2,0 -1.3,0 -1.4,0 -1.5,0 -1.6,0 -1.7,0 -1.8,0 -1.9,0 -2,0 -2.1,0 -2.2,0 -2.3,0 -2.4,0 -2.5,0 -2.6,0 -2.7,0 -2.8,0 -2.9,0 -3,0 -3.1,0 -3.2,0 -3.3,0 -3.4,0 -3.5,0 -3.6,0 -3.7,0 -3.8,0 -3.9,0 -4,0 -4.1,0 -4.2,0 -4.3,0 -4.4,0 -4.5,0 -4.6,0 -4.7,0 -4.8,0 -4.9,0 -5,0 -5.1,0 -5.2,0 -5.3,0 -5.4,0 -5.5,0 -5.6,0 -5.7,0 -5.8,0 -5.9,0 -6,0 -6.1,0 -6.2,0 -6.3,0 -6.4,0 -6.5,0 -6.6,0 -6.7,0 -6.8,0 -6.9,0 -7,0 -7.1,0 -7.2,0 -7.3,0 -7.4,0 -7.5,0 -7.6,0 -7.7,0 -7.8,0 -7.9,0 -8,0 -8.1,0 -8.2,0 -8.3,0 -8.4,0 -8.5,0 -8.6,0 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-15.7,1.662310889 -15.8,1.706379079 -15.9,1.750465014 -16,1.794569057 -16.1,2.163177352 -16.2,2.224515538 -16.3,2.285880993 -16.4,2.347274326 -16.5,2.408696148 -16.6,2.470147068 -16.7,2.531627696 -16.8,2.593138642 -16.9,2.654680514 -17,2.716253924 -17.1,3.473570253 -17.2,3.570211954 -17.3,3.666907404 -17.4,3.763657833 -17.5,3.86046447 -17.6,3.957328544 -17.7,4.054251283 -17.8,4.151233916 -17.9,4.248277672 -18,4.34538378 -18.1,3.999828274 -18.2,4.078519325 -18.3,4.157263167 -18.4,4.236060685 -18.5,4.314912761 -18.6,4.393820278 -18.7,4.472784121 -18.8,4.551805173 -18.9,4.630884317 -19,4.710022437 -19.1,1.875013098 -19.2,1.88622034 -19.3,1.897434941 -19.4,1.908656939 -19.5,1.91988637 -19.6,1.931123273 -19.7,1.942367686 -19.8,1.953619645 -19.9,1.964879188 -20,1.976146352 -20.1,1.010911206 -20.2,1.013310243 -20.3,1.01571051 -20.4,1.01811201 -20.5,1.020514745 -20.6,1.022918718 -20.7,1.02532393 -20.8,1.027730384 -20.9,1.030138084 -21,1.03254703 -21.1,0.59359532 -21.2,0.594085949 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-26.9,3.390155359 -27,3.413244486 -27.1,3.842393619 -27.2,3.87161383 -27.3,3.900860247 -27.4,3.930133044 -27.5,3.959432394 -27.6,3.988758471 -27.7,4.018111448 -27.8,4.0474915 -27.9,4.076898799 -28,4.106333519 -28.1,4.135795835 -28.2,4.165285919 -28.3,4.194803945 -28.4,4.224350088 -28.5,4.253924519 -28.6,4.283527414 -28.7,4.313158945 -28.8,4.342819287 -28.9,4.372508612 -29,4.402227095 -29.1,3.967223887 -29.2,3.990842887 -29.3,4.014484837 -29.4,4.038149857 -29.5,4.061838064 -29.6,4.085549576 -29.7,4.109284512 -29.8,4.133042991 -29.9,4.15682513 -30,4.180631048 -30.1,2.574258199 -30.2,2.582568886 -30.3,2.590886721 -30.4,2.599211723 -30.5,2.607543912 -30.6,2.615883307 -30.7,2.624229927 -30.8,2.632583791 -30.9,2.640944919 -31,2.649313329 -31.1,1.989008467 -31.2,1.993343632 -31.3,1.997682055 -31.4,2.00202374 -31.5,2.006368693 -31.6,2.010716919 -31.7,2.015068425 -31.8,2.019423216 -31.9,2.023781298 -32,2.028142677 -32.1,1.692372928 -32.2,1.695178834 -32.3,1.697986601 -32.4,1.700796233 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