diff --git a/.github/workflows/CI.yml b/.github/workflows/CI.yml index ff17ab7..b1af6df 100644 --- a/.github/workflows/CI.yml +++ b/.github/workflows/CI.yml @@ -24,7 +24,8 @@ jobs: fail-fast: false matrix: version: - - '1.10' + - 'lts' + - '1' - 'pre' os: - ubuntu-latest diff --git a/.github/workflows/docpreviewcleanup.yml b/.github/workflows/docpreviewcleanup.yml new file mode 100644 index 0000000..5be23b9 --- /dev/null +++ b/.github/workflows/docpreviewcleanup.yml @@ -0,0 +1,33 @@ +name: Doc Preview Cleanup + +on: + pull_request: + types: [closed] + +# Ensure that only one "Doc Preview Cleanup" workflow is force pushing at a time +concurrency: + group: doc-preview-cleanup + cancel-in-progress: false + +jobs: + doc-preview-cleanup: + runs-on: ubuntu-latest + permissions: + contents: write + steps: + - name: Checkout gh-pages branch + uses: actions/checkout@v4 + with: + ref: gh-pages + - name: Delete preview and history + push changes + run: | + if [ -d "${preview_dir}" ]; then + git config user.name "Documenter.jl" + git config user.email "documenter@juliadocs.github.io" + git rm -rf "${preview_dir}" + git commit -m "delete preview" + git branch gh-pages-new $(echo "delete history" | git commit-tree HEAD^{tree}) + git push --force origin gh-pages-new:gh-pages + fi + env: + preview_dir: previews/PR${{ github.event.number }} diff --git a/OpPoDynTesting/src/scenarios.jl b/OpPoDynTesting/src/scenarios.jl index 9837ef6..1744cb2 100644 --- a/OpPoDynTesting/src/scenarios.jl +++ b/OpPoDynTesting/src/scenarios.jl @@ -16,7 +16,7 @@ function line_between_slacks(edgef) nw = Network(g, [src, dst], edgef) u0 = NWState(nw) any(isnan.(uflat(u0))) && error("Initial conditions contain NaNs") - any(isnan.(pflat(u0))) && error("Parameters contain NaNs") + any(isnan.(pflat(u0))) && @warn "Parameters contain NaNs" affect = function(integrator) u = NWState(integrator) @@ -65,14 +65,14 @@ function bus_on_slack(busf; tmax=6, toilength=1000, argscale=1, magscale=1) nw = Network(g, [slack, busf], edgef) u0 = NWState(nw) if any(isnan.(uflat(u0))) - show(stderr, MIME"text/plain"(), u0) - println(stderr) + # show(stderr, MIME"text/plain"(), u0) + # println(stderr) error("Initial conditions contain NaNs") end if any(isnan.(pflat(u0))) - show(stderr, MIME"text/plain"(), u0.p) - println(stderr) - error("Parameters contain NaNs") + # show(stderr, MIME"text/plain"(), u0.p) + # println(stderr) + @warn "Parameters contain NaNs" end tstops = collect(range(0,tmax, length=7))[2:end-1] diff --git a/Project.toml b/Project.toml index e3685a8..b685291 100644 --- a/Project.toml +++ b/Project.toml @@ -30,7 +30,7 @@ Graphs = "1.9.0" LinearAlgebra = "1.10.0" ModelingToolkit = "9.33.0" ModelingToolkitStandardLibrary = "2.11.0" -NetworkDynamics = "0.9.3" +NetworkDynamics = "0.9.10" NonlinearSolve = "4" OrderedCollections = "1.6.3" SciMLBase = "2.48.1" diff --git a/docs/Project.toml b/docs/Project.toml index 8e0d75d..2dff131 100644 --- a/docs/Project.toml +++ b/docs/Project.toml @@ -1,13 +1,18 @@ [deps] +CSV = "336ed68f-0bac-5ca0-87d4-7b16caf5d00b" CairoMakie = "13f3f980-e62b-5c42-98c6-ff1f3baf88f0" +DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0" DiffEqCallbacks = "459566f4-90b8-5000-8ac3-15dfb0a30def" Documenter = "e30172f5-a6a5-5a46-863b-614d45cd2de4" +DocumenterInterLinks = "d12716ef-a0f6-4df4-a9f1-a5a34e75c656" Graphs = "86223c79-3864-5bf0-83f7-82e725a168b6" +JSON = "682c06a0-de6a-54ab-a142-c8b1cf79cde6" Literate = "98b081ad-f1c9-55d3-8b20-4c87d4299306" ModelingToolkit = "961ee093-0014-501f-94e3-6117800e7a78" NetworkDynamics = "22e9dc34-2a0d-11e9-0de0-8588d035468b" OpPoDyn = "88be6d57-9a19-43dd-942c-8912817e6f84" OpPoDynTesting = "97638210-66c4-447f-990e-d00c2b05d7ca" +OrderedCollections = "bac558e1-5e72-5ebc-8fee-abe8a469f55d" OrdinaryDiffEqNonlinearSolve = "127b3ac7-2247-4354-8eb6-78cf4e7c58e8" OrdinaryDiffEqRosenbrock = "43230ef6-c299-4910-a778-202eb28ce4ce" OrdinaryDiffEqTsit5 = "b1df2697-797e-41e3-8120-5422d3b24e4a" diff --git a/docs/examples/ieee9bus.jl b/docs/examples/ieee9bus.jl index ab78917..e79167e 100644 --- a/docs/examples/ieee9bus.jl +++ b/docs/examples/ieee9bus.jl @@ -15,16 +15,6 @@ using OrdinaryDiffEqNonlinearSolve using CairoMakie #= -The AVRTypeI model contains a ceiling function which needs to parameters. -Often, the parameters are not given explicitly but istead their are two -datapoints provided. This is the case in the RTDS data, thus we need to solve -the nonlinear system to find parameters `Ae` and `Be`. -Turns out, `Ae` and `Be` are quite common default values. -=# -Ae, Be = Library.solve_ceilf(3.3 => 0.6602, 4.5 => 4.2662) - -#= - ## Generator Busses The 3 generator buses are modeld using a SauerPai 6th order machine model with @@ -44,8 +34,12 @@ The field voltage is provided by an `AVRTypeI`, the torque is provide by a `TGOV T″_q0=0.01, X_d, X′_d, X″_d, X_q, X′_q, X″_q, X_ls, T′_d0, T′_q0, H # free per machine parameter ) - avr = AVRTypeI(vr_min=-5, vr_max=5, Ka=20, Ta=0.2, Kf=0.063, - Tf=0.35, Ke=1, Te=0.314, Ae, Be, tmeas_lag=false) + avr = AVRTypeI(vr_min=-5, vr_max=5, + Ka=20, Ta=0.2, + Kf=0.063, Tf=0.35, + Ke=1, Te=0.314, + E1=3.3, Se1=0.6602, E2=4.5, Se2=4.2662, + tmeas_lag=false) gov = TGOV1(R=0.05, T1=0.05, T2=2.1, T3=7.0, DT=0, V_max=5, V_min=-5) busbar = BusBar() end @@ -63,12 +57,14 @@ nothing # hide #= ## Load Busses -The loard buses are modeled as static PQ loads. This means they allways draw exactly `Pset` and `Qset`. +The dynamic loads are modeld as static Y-loads. Those have 3 parameters: `Pset`, `Qset` and `Vset`. +The `Vset` parameter is left free for now. Later on it is automaticially determined to match the +behavior of the static power flow load model. =# @mtkmodel LoadBus begin @components begin busbar = BusBar() - load = PQLoad(Pset, Qset) + load = ConstantYLoad(Pset, Qset) end @equations begin connect(load.terminal, busbar.terminal) @@ -102,20 +98,24 @@ We instantiate all models as modeling toolkit models. nothing #hide #= -After this, we can build the NetworkDynamic components using the `Bus`-constructor. +After this, we can build the `NetworkDynamics` components using the `Bus`-constructor. The `Bus` constructor is essentially a thin wrapper around the `VertexModel` constructor which, per default, adds some metadata. For example the `vidx` property which later on allows for "graph free" network dynamics instantiation. + +We use the `pf` keyword to specify the models which should be used in the powerflow calculation. +Here, generator 1 is modeld as a slack bus while the other two generators are modeled as a PV bus. +The loads are modeled as PQ buses. =# -@named bus1 = Bus(mtkbus1; vidx=1) -@named bus2 = Bus(mtkbus2; vidx=2) -@named bus3 = Bus(mtkbus3; vidx=3) +@named bus1 = Bus(mtkbus1; vidx=1, pf=pfSlack(V=1.04)) +@named bus2 = Bus(mtkbus2; vidx=2, pf=pfPV(V=1.025, P=1.63)) +@named bus3 = Bus(mtkbus3; vidx=3, pf=pfPV(V=1.025, P=0.85)) @named bus4 = Bus(mtkbus4; vidx=4) -@named bus5 = Bus(mtkbus5; vidx=5) -@named bus6 = Bus(mtkbus6; vidx=6) +@named bus5 = Bus(mtkbus5; vidx=5, pf=pfPQ(P=-1.25, Q=-0.5)) +@named bus6 = Bus(mtkbus6; vidx=6, pf=pfPQ(P=-0.9, Q=-0.3)) @named bus7 = Bus(mtkbus7; vidx=7) -@named bus8 = Bus(mtkbus8; vidx=8) +@named bus8 = Bus(mtkbus8; vidx=8, pf=pfPQ(P=-1.0, Q=-0.35)) @named bus9 = Bus(mtkbus9; vidx=9) nothing #hide @@ -151,64 +151,73 @@ end nothing #hide #= -## Initialization +## Build Network -To initialize the system, we first set the "default" values for the bus voltages -according to the provide power flow solution from the document. +Finally, we can build the network by providing the vertices and edges. =# -set_voltage!(bus1; mag=1.040, arg=deg2rad( 0.0)) -set_voltage!(bus2; mag=1.025, arg=deg2rad( 9.3)) -set_voltage!(bus3; mag=1.025, arg=deg2rad( 4.7)) -set_voltage!(bus4; mag=1.026, arg=deg2rad(-2.2)) -set_voltage!(bus5; mag=0.996, arg=deg2rad(-4.0)) -set_voltage!(bus6; mag=1.013, arg=deg2rad(-3.7)) -set_voltage!(bus7; mag=1.026, arg=deg2rad( 3.7)) -set_voltage!(bus8; mag=1.016, arg=deg2rad( 0.7)) -set_voltage!(bus9; mag=1.032, arg=deg2rad( 2.0)) -nothing #hide +vertexfs = [bus1, bus2, bus3, bus4, bus5, bus6, bus7, bus8, bus9]; +edgefs = [l45, l46, l57, l69, l78, l89, t14, t27, t39]; +nw = Network(vertexfs, edgefs) #= -The generator buses have lots of internal states and parameters which need to be -initialized. -To do so, we need to set the current in addition to the voltage on those buses. -The current can be set by provide `P` and `Q` instead, which will read out the voltages -and define the current accordingly. +## Powerflow + +To initialize the system, we first solve the static powerflow problem. +Internally, `OpPoDyn.jl` builds an equivalent network but replaces each dynamic model +with the given static power flow model. +The static powerflow problem is solved, after which the power flow solution (bus voltages +and currents) are stored as `default` values in the vertex models. =# -set_current!(bus1; P=0.716, Q= 0.270) -set_current!(bus2; P=1.630, Q= 0.067) -set_current!(bus3; P=0.850, Q=-0.109) +solve_powerflow!(nw) nothing #hide #= -To initialize the internal states, we just need to call `initialize_component!`, which will -create a nonlinear initialization problem automaticially, which solves for "free" states and parameters. +## Component initialization + +The power flow solution provided all the "interface states" (i.e. voltages and currents). +With that information, we can initialize the free states and parameters of the dynamic models, +such that the dynamic steady state matches the static power flow solution. + +When calling `initialize!`, `OpPoDyn.jl` will loop through all the dynamic models +in the system, automaticially creating and solving a nonlinear initialization problem for each of them. -Concretely, here we're solving for all internal machien states and the reference -values for voltage and power of the AVR and govenor models. +Concretly, here were solving for the following things: +- unknown `Vset` for load busses, +- unknown internal machine and controller states as well as the free govenor and + avr references (parameters) of the generator busses. =# -initialize_component!(bus1) -initialize_component!(bus2) -initialize_component!(bus3) +OpPoDyn.initialize!(nw) nothing #hide +#= +## Disturbance + +To see some dynamics, we need to introduce some disturbance. +For that we use a [`PresetTimeComponentCallback`](@extref NetworkDynamics.PresetTimeComponentCallback) +to deactivate a line at a certain time. +=# +deactivate_line = ComponentAffect([], [:pibranch₊active]) do u, p, ctx + @info "Deactivate line $(ctx.src)=>$(ctx.dst) at t=$(ctx.t)" + p[:pibranch₊active] = 0 +end +cb = PresetTimeComponentCallback([1.0], deactivate_line) +set_callback!(l46, cb) +nothing # hide + #= ## Build Network Finally, we can build the network by providing the vertices and edges. =# -vertexfs = [bus1, bus2, bus3, bus4, bus5, bus6, bus7, bus8, bus9]; -edgefs = [l45, l46, l57, l69, l78, l89, t14, t27, t39]; -nw = Network(vertexfs, edgefs) u0 = NWState(nw) -prob = ODEProblem(nw, uflat(u0), (0,100), pflat(u0)) +prob = ODEProblem(nw, uflat(u0), (0,15), pflat(u0); callback=get_callbacks(nw)) sol = solve(prob, Rodas5P()) nothing - #= ## Plotting the Solution =# -fig = Figure(size=(1000,2000)); +fig = Figure(size=(600,800)); ax = Axis(fig[1, 1]; title="Active power") for i in [1,2,3,5,6,8] lines!(ax, sol; idxs=VIndex(i,:busbar₊P), label="Bus $i", color=Cycled(i)) @@ -219,12 +228,7 @@ for i in 1:9 lines!(ax, sol; idxs=VIndex(i,:busbar₊u_mag), label="Bus $i", color=Cycled(i)) end axislegend(ax) -ax = Axis(fig[3, 1]; title="Voltag angel") -for i in 1:9 - lines!(ax, sol; idxs=VIndex(i,:busbar₊u_arg), label="Bus $i", color=Cycled(i)) -end -axislegend(ax) -ax = Axis(fig[4, 1]; title="Frequency") +ax = Axis(fig[3, 1]; title="Frequency") for i in 1:3 lines!(ax, sol; idxs=VIndex(i,:machine₊ω), label="Bus $i", color=Cycled(i)) end diff --git a/docs/make.jl b/docs/make.jl index be1abc2..7b59826 100644 --- a/docs/make.jl +++ b/docs/make.jl @@ -1,6 +1,11 @@ using OpPoDyn using Documenter using Literate +using DocumenterInterLinks + +links = InterLinks( + "NetworkDynamics" => "https://juliadynamics.github.io/NetworkDynamics.jl/stable/", +) DocMeta.setdocmeta!(OpPoDyn, :DocTestSetup, :(using OpPoDyn); recursive=true) @@ -16,12 +21,13 @@ for example in filter(contains(r".jl$"), readdir(example_dir, join=true)) end -makedocs(; +kwargs = (; modules=[OpPoDyn], authors="Hans Würfel and contributors", sitename="OpPoDyn.jl", linkcheck=true, pagesonly=true, + plugins=[links], format=Documenter.HTML(; canonical="https://juliaenergy.github.io/OpPoDyn.jl", edit_link="main", @@ -33,11 +39,26 @@ makedocs(; "Examples" => [ "generated/ieee9bus.md",] ], - warnonly=[:cross_references, :missing_docs, :docs_block], + warnonly=[:missing_docs], ) +kwargs_warnonly = (; kwargs..., warnonly=true) -deploydocs(; - repo="github.com/JuliaEnergy/OpPoDyn.jl", - devbranch="main", - push_preview=true, -) +if haskey(ENV,"GITHUB_ACTIONS") + success = true + thrown_ex = nothing + try + makedocs(; kwargs...) + catch e + @info "Strict doc build failed, try again with warnonly=true" + global success = false + global thrown_ex = e + makedocs(; kwargs_warnonly...) + end + + deploydocs(; repo="github.com/JuliaEnergy/OpPoDyn.jl", + devbranch="main", push_preview=true) + + success || throw(thrown_ex) +else # local build + makedocs(; kwargs_warnonly...) +end diff --git a/docs/src/ModelingConcepts.md b/docs/src/ModelingConcepts.md index e23d251..3e4be9a 100644 --- a/docs/src/ModelingConcepts.md +++ b/docs/src/ModelingConcepts.md @@ -24,32 +24,32 @@ The current for injectors is always in injector convention, i.e. positive curren For example, any `ODESystem` is considered an "Injector" if it contains a connector `Terminal()` called `:terminal`. !!! details "Code example: definition of PQ load as injector" -```@example concepts -using OpPoDyn, OpPoDyn.Library, ModelingToolkit -using ModelingToolkit: D_nounits as Dt, t_nounits as t -@mtkmodel MyPQLoad begin - @components begin - terminal = Terminal() - end - @parameters begin - Pset, [description="Active Power demand"] - Qset, [description="Reactive Power demand"] - end - @variables begin - P(t), [description="Active Power"] - Q(t), [description="Reactive Power"] + ```@example concepts + using OpPoDyn, OpPoDyn.Library, ModelingToolkit + using ModelingToolkit: D_nounits as Dt, t_nounits as t + @mtkmodel MyPQLoad begin + @components begin + terminal = Terminal() + end + @parameters begin + Pset, [description="Active Power demand"] + Qset, [description="Reactive Power demand"] + end + @variables begin + P(t), [description="Active Power"] + Q(t), [description="Reactive Power"] + end + @equations begin + P ~ terminal.u_r*terminal.i_r + terminal.u_i*terminal.i_i + Q ~ terminal.u_i*terminal.i_r - terminal.u_r*terminal.i_i + # if possible, its better for the solver to explicitly provide algebraic equations for the current + terminal.i_r ~ (Pset*terminal.u_r + Qset*terminal.u_i)/(terminal.u_r^2 + terminal.u_i^2) + terminal.i_i ~ (Pset*terminal.u_i - Qset*terminal.u_r)/(terminal.u_r^2 + terminal.u_i^2) + end end - @equations begin - P ~ terminal.u_r*terminal.i_r + terminal.u_i*terminal.i_i - Q ~ terminal.u_i*terminal.i_r - terminal.u_r*terminal.i_i - # if possible, its better for the solver to explicitly provide algebraic equations for the current - terminal.i_r ~ (Pset*terminal.u_r + Qset*terminal.u_i)/(terminal.u_r^2 + terminal.u_i^2) - terminal.i_i ~ (Pset*terminal.u_i - Qset*terminal.u_r)/(terminal.u_r^2 + terminal.u_i^2) - end -end -MyPQLoad(name=:pqload) #hide -nothing #hide -``` + MyPQLoad(name=:pqload) #hide + nothing #hide + ``` ### Model class `MTKBus` A `MTKBus` isa class of models, which are used to describe the dynamic behavior of a full bus in a power grid. @@ -74,28 +74,28 @@ As long as the `:busbar` is present at the toplevel, there are few limitations o For simple models (direct connections of a few injectors) it is possible to use the convenience method `MTKBus(injectors...)` to create the composite model based on provide injector models. !!! details "Code example: definition of a Bus containing a swing equation and a load" -```@example concepts -using OpPoDyn, OpPoDyn.Library, ModelingToolkit -@mtkmodel MyMTKBus begin - @components begin - busbar = BusBar() - swing = Swing() - load = PQLoad() + ```@example concepts + using OpPoDyn, OpPoDyn.Library, ModelingToolkit + @mtkmodel MyMTKBus begin + @components begin + busbar = BusBar() + swing = Swing() + load = PQLoad() + end + @equations begin + connect(busbar.terminal, swing.terminal) + connect(busbar.terminal, load.terminal) + end end - @equations begin - connect(busbar.terminal, swing.terminal) - connect(busbar.terminal, load.terminal) - end -end -MyMTKBus(name=:bus) #hide -nothing #hide -``` -Alternativly, for that system you could have just called -```@example concepts -mybus = MTKBus(Swing(;name=:swing), PQLoad(;name=:load)) -nothing #hide -``` -to get an instance of a model which is structually aquivalent to `MyMTKBus`. + MyMTKBus(name=:bus) #hide + nothing #hide + ``` + Alternativly, for that system you could have just called + ```@example concepts + mybus = MTKBus(Swing(;name=:swing), PQLoad(;name=:load)) + nothing #hide + ``` + to get an instance of a model which is structually aquivalent to `MyMTKBus`. ## Line Modeling ### Model class `Branch` @@ -113,26 +113,26 @@ Examples for branches are: PI─Model branches, dynamic RL branches or transform *Both* ends follow the injector interface, i.e. current leaving the device towards the terminals is always positive. !!! details "Code example: algebraic R-line" -```@example conceps -using OpPoDyn, OpPoDyn.Library, ModelingToolkit -@mtkmodel MyRLine begin - @components begin - src = Terminal() - dst = Terminal() - end - @parameters begin - R=0, [description="Resistance"] - end - @equations begin - dst.i_r ~ (dst.u_r - src.u_r)/R - dst.i_i ~ (dst.u_i - src.u_i)/R - src.i_r ~ -dst.i_r - src.i_i ~ -dst.i_i + ```@example conceps + using OpPoDyn, OpPoDyn.Library, ModelingToolkit + @mtkmodel MyRLine begin + @components begin + src = Terminal() + dst = Terminal() + end + @parameters begin + R=0, [description="Resistance"] + end + @equations begin + dst.i_r ~ (dst.u_r - src.u_r)/R + dst.i_i ~ (dst.u_i - src.u_i)/R + src.i_r ~ -dst.i_r + src.i_i ~ -dst.i_i + end end -end -MyRLine(name=:rline) #hide -nothing #hide -``` + MyRLine(name=:rline) #hide + nothing #hide + ``` ### Model class: `MTKLine` Similar to the `MTKBus`, a `MTKLine` is a model class which represents a transmission line in the network. @@ -161,30 +161,30 @@ LineEnd(:src) ──o── Transformer ──o── Pi─Line ──o── Li ``` !!! details "Code example: Transmission line with two pi-branches" -```@example concepts -using OpPoDyn, OpPoDyn.Library, ModelingToolkit -@mtkmodel MyMTKLine begin - @components begin - src = LineEnd() - dst = LineEnd() - branch1 = DynawoPiLine() - branch2 = DynawoPiLine() - end - @equations begin - connect(src.terminal, branch1.src) - connect(src.terminal, branch2.src) - connect(dst.terminal, branch1.dst) - connect(dst.terminal, branch2.dst) + ```@example concepts + using OpPoDyn, OpPoDyn.Library, ModelingToolkit + @mtkmodel MyMTKLine begin + @components begin + src = LineEnd() + dst = LineEnd() + branch1 = DynawoPiLine() + branch2 = DynawoPiLine() + end + @equations begin + connect(src.terminal, branch1.src) + connect(src.terminal, branch2.src) + connect(dst.terminal, branch1.dst) + connect(dst.terminal, branch2.dst) + end end -end -MyMTKLine(name=:mtkline) #hide -nothing #hide -``` -Alternatively, an equivalent model with multiple valid branch models in parallel could be created and instantiated with the convenience constructor -```@example concepts -line = MTKLine(DynawoPiLine(;name=:branch1), DynawoPiLine(;name=:branch2)) -nothing #hide -``` + MyMTKLine(name=:mtkline) #hide + nothing #hide + ``` + Alternatively, an equivalent model with multiple valid branch models in parallel could be created and instantiated with the convenience constructor + ```@example concepts + line = MTKLine(DynawoPiLine(;name=:branch1), DynawoPiLine(;name=:branch2)) + nothing #hide + ``` ## From MTK Models to NetworkDynamics diff --git a/src/Library/Branches/PiLine.jl b/src/Library/Branches/PiLine.jl index 4e5074a..cc0d3fd 100644 --- a/src/Library/Branches/PiLine.jl +++ b/src/Library/Branches/PiLine.jl @@ -6,8 +6,8 @@ B_src, [description="Susceptance of src shunt (base unclear?)"] G_dst, [description="Conductance of dst shunt (base unclear?)"] B_dst, [description="Susceptance of dst shunt (base unclear?)"] - r_src=1, [description="Src end transformation ratio"] - r_dst=1, [description="Src end transformation ratio"] + r_src=1, [description="src end transformation ratio"] + r_dst=1, [description="dst end transformation ratio"] active=1, [description="Line active or at fault"] end @components begin @@ -25,8 +25,8 @@ i₁ = Ysrc * V₁ i₂ = Ydst * V₂ iₘ = 1/Z * (V₁ - V₂) - isrc = -iₘ - i₁ - idst = iₘ - i₂ + isrc = (-iₘ - i₁)*r_src + idst = ( iₘ - i₂)*r_dst end @equations begin src.i_r ~ active * simplify(real(isrc)) diff --git a/src/Library/Bus.jl b/src/Library/Bus.jl index 2d028e2..dd198c3 100644 --- a/src/Library/Bus.jl +++ b/src/Library/Bus.jl @@ -92,3 +92,44 @@ ModelingToolkit.@register_symbolic _to_zero(x)::Float64 end MTKBus(; name=:bus) = KirchoffBus(; name) + +""" + CompositeInjector(systems, eqs; name=Symbol(join(getname.(systems), "_"))) + +Create a injector object which contains several subsystems. Every subsystem which has a `terminal` will be connected +to a newly created terminal of the composite injector. Can contain further systems, such as controllers, with the +additional connection equations `eqs`. + +For example, one could create a composite injector with three subsustens: +- a generator, +- a controller, and +- a load; +which is augmented with 2 equations +- one for the measurments, and +- one for the actuation. + +The returned `CompositeInjector` system has the following structure: +It will automaticially create a new terminal `t` (thus satisfing the [Injector +Interface](@ref)) which will be connected to the terminals of the subsystems +which have a terminal (machine and load in this case). + + ┌────────────────────────────────────┐ + │ CompositeInjector │ + │ ╭───→───╮ measurements│ + │ ┌─────────┴─┐ ┌─┴──────────┐ │ + (t) │ o─┤ Generator │ │ Controller │ │ + o──┼──┤ └─────────┬─┘ └─┬──────────┘ │ + │ │ ╰───←───╯ actuation │ + │ │ ┌──────┐ │ + │ o─┤ Load │ │ + │ └──────┘ │ + └────────────────────────────────────┘ +""" +function CompositeInjector(systems, eqs; name=Symbol(join(ModelingToolkit.getname.(systems), "_"))) + @named terminal = Terminal() + ivs = ModelingToolkit.get_iv.(systems) + @assert allequal(ivs) "Systems have different independent variables! $ivs" + iv = first(ivs) + termeqs = [connect(sys.terminal, terminal) for sys in systems if iscomponentmodel(sys)] + ODESystem(vcat(termeqs,eqs), iv; systems=vcat(terminal, systems), name) +end diff --git a/src/Library/Controls/AVRs.jl b/src/Library/Controls/AVRs.jl index 77f44f1..7170aab 100644 --- a/src/Library/Controls/AVRs.jl +++ b/src/Library/Controls/AVRs.jl @@ -1,7 +1,20 @@ +@mtkmodel AVRFixed begin + @components begin + vf = RealOutput() + end + @parameters begin + vf_fixed, [guess=1, description="Fixed field voltage"] + end + @equations begin + vf.u ~ vf_fixed + end +end + @mtkmodel AVRTypeI begin @structural_parameters begin vref_input=false tmeas_lag=true + ceiling_function=:exponential end @components begin vh = RealInput() # generator terminal voltage @@ -22,35 +35,62 @@ end vr_min, [description="minimum regulator voltage"] vr_max, [description="maximum regulator voltage"] - Ae, [description="1st ceiling coeff"] - Be, [description="2st ceiling coeff"] + E1, [description="1st ceiling voltage"] + E2, [description="2nd ceiling voltage"] + Se1, [description="1st ceiling saturation"] + Se2, [description="2nd ceiling saturation"] + if ceiling_function == :exponential + Ae=_solve_Ae(E1=>Se1, E2=>Se2), [description="1st ceiling coeff"] + Be=_solve_Be(E1=>Se1, E2=>Se2), [description="1st ceiling coeff"] + end if !vref_input vref, [guess=1, description="Terminal voltag reference [Machine PU]"] end end begin _vref = vref_input ? vref.u : vref + if ceiling_function ∉ (:exponential, :quadratic) + error("Unknown ceiling function: $ceiling_function") + end end @variables begin - vr1(t), [guess=1,description="intenral amplifier state TODO: implement AVR limiter"] - vr2(t), [guess=0,description="internal feedback state"] + # we add an explicit state for vfout to set bounds + vfout(t), [guess=1, bounds=(0,Inf), description="field voltage output"] + vr(t), [guess=0, description="regulator voltage"] vm(t), [guess=1, description="terminal voltage measurement (lagged)"] vfceil(t), [description="ceiled field voltage"] + amp_in(t), [description="amplifier input"] + v_fb(t), [guess=0, description="feedback voltage"] end @equations begin - vfceil ~ Ae * exp(Be * abs(vf.u)) - Dt(vf.u) ~ -(vf.u * (Ke+vfceil) - vr1)/Te - Dt(vr1) ~ (Ka*(_vref - vm - vr2 - Kf/Tf*vf.u) - vr1)/Ta - Dt(vr2) ~ -(Kf/Tf*vf.u + vr2)/Tf + # implementation after block diagram in milano + if ceiling_function == :exponential + vfceil ~ Ae * exp(Be * abs(vfout)) + elseif ceiling_function == :quadratic + vfceil ~ quadratic_ceiling(abs(vfout), E1, E2, Se1, Se2) + end if tmeas_lag - Dt(vm) ~ (vh.u - vm)/Tr + Tr * Dt(vm) ~ vh.u - vm else vm ~ vh.u end + + Tf*Dt(v_fb) ~ Kf*Dt(vfout) - v_fb + amp_in ~ Ka*(_vref - vm - v_fb) + + Ta*Dt(vr) ~ ifelse( + ((vr > vr_max) & (amp_in > vr)) | ((vr < vr_min) & (amp_in < vr)), + 0, + amp_in - vr) + + Te*Dt(vfout) ~ vr - vfceil - Ke*vf.u + + # output + vf.u ~ vfout end end -function solve_ceilf(pair1, pair2) +function solve_ceilf(pair1, pair2; u0=[0.01, 1]) p = [pair1.first, pair1.second, pair2.first, pair2.second] f = (du, u, p) -> begin A,B = u @@ -58,10 +98,26 @@ function solve_ceilf(pair1, pair2) du[1] = S1 - A*exp(B*v1) du[2] = S2 - A*exp(B*v2) end - prob = NonlinearProblem(f, [0.01, 1], p) - sol = solve(prob) + prob = NonlinearProblem(f, u0, p) + sol = solve(prob; verbose=false) if !SciMLBase.successful_retcode(sol.retcode) error("Did not finde solution for Ae and Be: retcode $(sol.retcode)") end (; Ae=sol[1], Be=sol[2]) end +_solve_Ae(pair1, pair2) = solve_ceilf(pair1, pair2)[1] +_solve_Be(pair1, pair2) = solve_ceilf(pair1, pair2)[2] + + +function quadratic_ceiling(x, E1, E2, Se1, Se2) + # sq = sqrt(Se1/Se2) + # Asq = (E1 - E2 * sq) / (1 - sq) + # Bsq = Se2 /(E2 - Asq)^2 + + # below is the definition from RMSPowerSims + sq = sqrt((E1 * Se1) / (E2 * Se2)) + Asq = (E1 - E2 * sq) / (1 - sq) + Bsq = (E2 * Se2) / ((E2 - Asq)^2) + + ifelse(x > Asq, Bsq * (x - Asq)^2, 0.0) +end diff --git a/src/Library/Controls/Govs.jl b/src/Library/Controls/Govs.jl index baeaba2..790f6de 100644 --- a/src/Library/Controls/Govs.jl +++ b/src/Library/Controls/Govs.jl @@ -1,3 +1,15 @@ +@mtkmodel GovFixed begin + @components begin + τ_m = RealOutput() + end + @parameters begin + τ_m_fixed, [guess=0, description="Fixed mechanical torque"] + end + @equations begin + τ_m.u ~ τ_m_fixed + end +end + _clamp(u, u_min, u_max) = max(min(u, u_max), u_min) # from Milano P. 359 @@ -86,20 +98,35 @@ end DT, [description="Turbine Damping"] end @variables begin - p_droop(t), [description="P after droop (not limited)"] - xg1(t), [guess=0] - xg1_sat(t) + ref_sig(t), [description="Internal reference signal"] + xg1(t), [guess=1] + # xg1_sat(t) xg2(t), [guess=0] + Δω(t), [description="Speed deviation"] end begin _ω_ref = ω_ref_input ? ω_ref.u : ω_ref _p_ref = p_ref_input ? p_ref.u : p_ref end @equations begin - p_droop ~ _p_ref + 1/R * (_ω_ref - ω_meas.u) - T1 * Dt(xg1) ~ (p_droop - xg1) - xg1_sat ~ _clamp(xg1, V_min, V_max) - T3 * Dt(xg2) ~ xg1_sat*(1-T2/T3) - xg2 - τ_m.u ~ xg2 + T2/T3*xg1 - DT*(ω_meas.u - 1) + # implementation after blockdiagram + # https://www.powerworld.com/WebHelp/Content/TransientModels_HTML/Governor%20TGOV1%20and%20TGOV1D.htm + # and milano + + # TODO: GOV: Δω absolute or relative? + # Δω ~ ω_meas.u - _ω_ref + Δω ~ ω_meas.u / _ω_ref - 1 + + ref_sig ~ 1/R*(_p_ref - Δω) + + T1 * Dt(xg1) ~ ifelse( + ((xg1 > V_max) & (ref_sig > xg1)) | ((xg1 < V_min) & (ref_sig < xg1)), + 0, + ref_sig - xg1) + + T3 * Dt(xg2) ~ xg1 + T2*Dt(xg1) - xg2 + + # TODO: GOV: output power or torque? + τ_m.u*ω_meas.u ~ xg2 - DT*Δω end end diff --git a/src/Library/Library.jl b/src/Library/Library.jl index bb44a17..321178c 100644 --- a/src/Library/Library.jl +++ b/src/Library/Library.jl @@ -19,8 +19,8 @@ export Terminal @connector Terminal begin u_r(t), [description="d-voltage"] u_i(t), [description="q-voltage"] - i_r(t), [description="d-current", connect=Flow] - i_i(t), [description="q-current", connect=Flow] + i_r(t), [guess=0, description="d-current", connect=Flow] + i_i(t), [guess=0, description="q-current", connect=Flow] end @mtkmodel SystemBase begin @@ -47,7 +47,7 @@ Ibase(S, V) = S/V Zbase(S, V) = V^2/S Ybase(S, V) = S/V^2 -export BusBar, MTKBus, SlackAlgebraic, SlackDifferential +export BusBar, MTKBus, SlackAlgebraic, SlackDifferential, CompositeInjector include("Bus.jl") export LineEnd, MTKLine @@ -83,16 +83,16 @@ include("Machines/ClassicalMachine_powerfactory.jl") #### #### Control Models #### -export AVRTypeI +export AVRFixed, AVRTypeI include("Controls/AVRs.jl") -export TurbineGovTypeI, TGOV1 +export GovFixed, TurbineGovTypeI, TGOV1 include("Controls/Govs.jl") #### #### Load Models #### -export PQLoad, VoltageDependentLoad, ConstantYLoad +export PQLoad, VoltageDependentLoad, ConstantYLoad, ZIPLoad include("Loads/PQLoad.jl") #### diff --git a/src/Library/Loads/PQLoad.jl b/src/Library/Loads/PQLoad.jl index 7d1a7b4..2e9f1a6 100644 --- a/src/Library/Loads/PQLoad.jl +++ b/src/Library/Loads/PQLoad.jl @@ -80,3 +80,34 @@ end end end + +# TODO: S_b for loads? +@mtkmodel ZIPLoad begin + @parameters begin + Pset, [description="Active Power at operation point [pu]"] + Qset, [description="Reactive Power at operation point [pu]"] + Vset, [guess=1,description="Voltage at operation point [pu]"] + KpZ, [description="Active power constant impedance fraction"] + KqZ, [description="Reactive power constant impedance fraction"] + KpI, [description="Active power constant current fraction"] + KqI, [description="Reactive power constant current fraction"] + KpC=1-KpZ-KpI, [description="Active power constant power fraction"] + KqC=1-KqZ-KqI, [description="Reactive power constant power fraction"] + end + @components begin + terminal = Terminal() + end + @variables begin + Vrel(t), [description="Relative voltage magnitude"] + P(t), [description="Active Power"] + Q(t), [description="Reactive Power"] + end + @equations begin + Vrel ~ sqrt(terminal.u_r^2 + terminal.u_i^2)/Vset + P ~ Pset*(KpZ*Vrel^2 + KpI*Vrel + KpC) + Q ~ Qset*(KqZ*Vrel^2 + KqI*Vrel + KqC) + # formulate equations for i_r and i_i instead + terminal.i_r ~ simplify(real((P + im*Q)/(terminal.u_r + im*terminal.u_i))) + terminal.i_i ~ -simplify(imag((P + im*Q)/(terminal.u_r + im*terminal.u_i))) + end +end diff --git a/src/Library/Machines/SauerPaiMachine.jl b/src/Library/Machines/SauerPaiMachine.jl index 4876369..e15473d 100644 --- a/src/Library/Machines/SauerPaiMachine.jl +++ b/src/Library/Machines/SauerPaiMachine.jl @@ -33,6 +33,7 @@ T′_q0, [description="q-axis transient time constant"] T″_q0, [description="q-axis subtransient time constant"] H, [description="inertia constant"] + D=0, [description="direct shaft damping"] # System and machine base S_b, [description="System power basis in MVA"] V_b, [description="System voltage basis in kV"] @@ -41,10 +42,10 @@ Vn=V_b, [description="Machine voltage rating in kV"] # input/parameter switches if !vf_input - vf_set, [guess=1, description="field voltage"] + vf_set, [guess=1, bounds=(0,Inf), description="field voltage"] end if !τ_m_input - τ_m_set, [guess=1, description="mechanical torque"] + τ_m_set, [guess=1, bounds=(0,Inf), description="mechanical torque"] end end @variables begin @@ -52,55 +53,69 @@ ψ_q(t), [description="q-axis flux linkage"] ψ″_d(t), [guess=1, description="flux linkage assosciated with X″_d"] ψ″_q(t), [guess=0, description="flux linkage assosciated with X″_q"] - I_d(t), [description="d-axis current"] - I_q(t), [description="q-axis current"] - V_d(t), [description="d-axis voltage"] - V_q(t), [description="q-axis voltage"] - E′_d(t), [guess=0, description="transient voltage behind transient reactance in d-axis"] - E′_q(t), [guess=1, description="transient voltage behind transient reactance in q-axis"] + I_d(t), [guess=0, description="d-axis current"] + I_q(t), [guess=0, description="q-axis current"] + V_d(t), [guess=0, description="d-axis voltage"] + V_q(t), [guess=1, description="q-axis voltage"] + E′_d(t), [guess=1, description="transient voltage behind transient reactance in d-axis"] + E′_q(t), [guess=0, description="transient voltage behind transient reactance in q-axis"] δ(t), [guess=0, description="rotor angle"] ω(t), [guess=1, description="rotor speed"] + τ_e(t), [bounds=(0,Inf) ,description="electrical torque"] # observables v_mag(t), [description="terminal voltage [machine pu]"] v_arg(t), [description="Generator terminal angle"] P(t), [description="active power [machine pu]"] Q(t), [description="reactive power [machine pu]"] # inputs/parameters - vf(t), [description="field voltage"] - τ_m(t), [description="mechanical torque"] + vf(t), [bounds=(0,Inf), description="field voltage"] + τ_m(t), [bounds=(0,Inf), description="mechanical torque"] end begin γ_d1 = (X″_d - X_ls)/(X′_d - X_ls) γ_q1 = (X″_q - X_ls)/(X′_q - X_ls) γ_d2 = (X′_d-X″_d)/(X′_d-X_ls)^2 # ~ (1 - γ_d1)/(X′_d - X_ls) γ_q2 = (X′_q-X″_q)/(X′_q-X_ls)^2 # ~ (1 - γ_q1)/(X′_q - X_ls) - T_park(α) = [sin(α) cos(α); -cos(α) sin(α)] + # This transformation seems identical to Milano and PSD models + T_to_loc(α) = [ sin(α) -cos(α); + cos(α) sin(α)] + T_to_glob(α) = [ sin(α) cos(α); + -cos(α) sin(α)] end @equations begin # Park's transformations - [terminal.u_r, terminal.u_i] .~ T_park(δ)*[V_d, V_q] * V_b/Vn - # [terminal.i_r, terminal.i_i] .~ T_park(δ)*[I_d, I_q] * Ibase(S_b, V_b)/Ibase(Sn, Vn) - # [V_d, V_q] .~ T_park(-δ)*[terminal.u_r, terminal.u_i] * Vn/V_b - [I_d, I_q] .~ -T_park(-δ)*[terminal.i_r, terminal.i_i] * Ibase(Sn, Vn)/Ibase(S_b, V_b) + [terminal.u_r, terminal.u_i] .~ T_to_glob(δ)*[V_d, V_q] * Vn/V_b + [I_d, I_q] .~ T_to_loc(δ)*[terminal.i_r, terminal.i_i] * Ibase(S_b, V_b)/Ibase(Sn, Vn) + + τ_e ~ ψ_d*I_q - ψ_q*I_d + # for static ψ, this becomes which makes sense! + # τ_e ~ (P + R_s*(I_d^2 + I_q^2))/ω - # mechanical swing equation Dt(δ) ~ ω_b*(ω - 1) - 2*H * Dt(ω) ~ τ_m - (ψ_d*I_q - ψ_q*I_d) + 2*H * Dt(ω) ~ τ_m - τ_e - D*(ω - 1) # stator equations - # TODO: stator equations only work with Dt(ψ_d) ~ 0 # 1/ω_b * Dt(ψ_d) ~ R_s*I_d + ω * ψ_q + V_d # 1/ω_b * Dt(ψ_q) ~ R_s*I_q - ω * ψ_d + V_q - 0 ~ R_s*I_d + ω * ψ_q + V_d - 0 ~ R_s*I_q - ω * ψ_d + V_q + # static fomulation + # 0 ~ R_s*I_d + ω * ψ_q + V_d + # 0 ~ R_s*I_q - ω * ψ_d + V_q + # static formualion in V_d, V_q which is the only free stuff + V_d ~ -R_s*I_d - ω * ψ_q + V_q ~ -R_s*I_q + ω * ψ_d T′_d0 * Dt(E′_q) ~ -E′_q - (X_d - X′_d)*(I_d - γ_d2*ψ″_d - (1-γ_d1)*I_d + γ_d2*E′_q) + vf - T′_q0 * Dt(E′_d) ~ -E′_d - (X_q - X′_q)*(I_q - γ_q2*ψ″_q - (1-γ_q1)*I_q - γ_q2*E′_d) + T′_q0 * Dt(E′_d) ~ -E′_d + (X_q - X′_q)*(I_q - γ_q2*ψ″_q - (1-γ_q1)*I_q - γ_q2*E′_d) T″_d0 * Dt(ψ″_d) ~ -ψ″_d + E′_q - (X′_d - X_ls)*I_d T″_q0 * Dt(ψ″_q) ~ -ψ″_q - E′_d - (X′_q - X_ls)*I_q + # this constraint essentialy forces ψ_d and ψ_q ψ_d ~ -X″_d*I_d + γ_d1*E′_q + (1-γ_d1)*ψ″_d ψ_q ~ -X″_q*I_q - γ_q1*E′_d + (1-γ_q1)*ψ″_q + # I_d ~ (-ψ_d + γ_d1*E′_q + (1-γ_d1)*ψ″_d)/X″_d + # I_q ~ (-ψ_q - γ_q1*E′_d + (1-γ_q1)*ψ″_q)/X″_q + # 0 ~ -X″_d*I_d + γ_d1*E′_q + (1-γ_d1)*ψ″_d - ψ_d + # 0 ~ -X″_q*I_q - γ_q1*E′_d + (1-γ_q1)*ψ″_q - ψ_q # inputs vf ~ vf_input ? vf_in.u : vf_set @@ -120,3 +135,30 @@ ωout.u ~ ω end end + + +#= +MWE why whe need to have ψ force by constraint rather than free +in a nutshell: because the input i will force psi anyway, and if +and then the voltage depends on the derivative of I + +@mtkmodel SauerPaiMachine2 begin + @parameters begin + I_d, [guess=0, description="d-axis current"] + I_q, [guess=0, description="q-axis current"] + end + @variables begin + ψ_d(t), [description="d-axis flux linkage"] + ψ_q(t), [description="q-axis flux linkage"] + V_d(t), [guess=0, description="d-axis voltage"] + V_q(t), [guess=1, description="q-axis voltage"] + end + @equations begin + Dt(ψ_d) ~ I_d + ψ_q + V_d + Dt(ψ_q) ~ I_q - ψ_d + V_q + 0 ~ -I_d - ψ_d + 0 ~ -I_q - ψ_q + end +end +VertexModel(Library.SauerPaiMachine2(name=:machine), [:I_d, :I_q], [:V_d, :V_q]) +=# diff --git a/src/Library/powerflow_models.jl b/src/Library/powerflow_models.jl index bd03fc8..25e277c 100644 --- a/src/Library/powerflow_models.jl +++ b/src/Library/powerflow_models.jl @@ -12,6 +12,20 @@ end end +@mtkmodel UrUiConstraint begin + @components begin + terminal = Terminal() + end + @parameters begin + u_r, [guess=1, description="Real part of fixed terminal voltage"] + u_i, [guess=0, description="Imaginary part of fixed terminal voltage"] + end + @equations begin + terminal.u_r ~ u_r + terminal.u_i ~ u_i + end +end + @mtkmodel PVConstraint begin @components begin terminal = Terminal() diff --git a/src/OpPoDyn.jl b/src/OpPoDyn.jl index 2335db4..acca46a 100644 --- a/src/OpPoDyn.jl +++ b/src/OpPoDyn.jl @@ -2,6 +2,7 @@ module OpPoDyn using NetworkDynamics: NetworkDynamics, VertexModel, EdgeModel, has_default, set_default!, get_default, + has_init, get_init, has_guess, get_guess, has_graphelement, set_graphelement!, get_graphelement, Network, has_metadata, get_metadata, set_metadata!, NWState, uflat, pflat using ModelingToolkit: ModelingToolkit, ODESystem, structural_simplify, get_name, getname, @named @@ -12,6 +13,7 @@ using LinearAlgebra: LinearAlgebra, Diagonal, diag, pinv, eigvals using Graphs: SimpleGraph, add_edge!, nv using ArgCheck: @argcheck using Setfield: @set, @set! +using SymbolicIndexingInterface: SymbolicIndexingInterface as SII export @attach_metadata!, set_voltage!, set_current! include("utils.jl") @@ -25,6 +27,7 @@ include("network_components.jl") using DataFrames: DataFrame using OrderedCollections: OrderedDict export pfSlack, pfPV, pfPQ +export solve_powerflow! include("powerflow.jl") end diff --git a/src/powerflow.jl b/src/powerflow.jl index 03dec47..a7ae22c 100644 --- a/src/powerflow.jl +++ b/src/powerflow.jl @@ -1,8 +1,18 @@ -function pfSlack(; V, δ=0) - @named slack = Library.VδConstraint(; V, δ) +function pfSlack(; V=missing, δ=missing, u_r=missing, u_i=missing) + if !ismissing(V) && ismissing(u_r) && ismissing(u_i) + δ = ismissing(δ) ? 0 : δ + @named slack = Library.VδConstraint(; V, δ) + u_r = V * cos(δ) + u_i = V * sin(δ) + elseif ismissing(V) && ismissing(δ) && !ismissing(u_r) && !ismissing(u_i) + @named slack = Library.UrUiConstraint(; u_r, u_i) + else + throw(ArgumentError("Either Provide V or δ, or u_r and u_i. But not both!")) + end + mtkbus = MTKBus(slack, name=:slackbus) b = Bus(mtkbus) - set_voltage!(b; mag=V, arg=δ) + set_voltage!(b, u_r + im * u_i) b end @@ -34,16 +44,19 @@ function ispfmodel(cf::NetworkDynamics.ComponentModel) end function powerflow_model(cf::NetworkDynamics.ComponentModel) - if NetworkDynamics.has_metadata(cf, :pfmodel) - pfm = NetworkDynamics.get_metadata(cf, :pfmodel) + if has_metadata(cf, :pfmodel) + pfm = get_metadata(cf, :pfmodel) if !ispfmodel(pfm) - error("Provided :pfmodel for $(cf.name) is no valid powerflow model!") + error("Provided :pfmodel for :$(cf.name) is no valid powerflow model!") end return pfm elseif ispfmodel(cf) return cf + elseif cf isa VertexModel && has_default(cf, :busbar₊u_r) && has_default(cf, :busbar₊u_i) + @warn "No powerflow model given for :$(cf.name), using slack with default voltage!" + return pfSlack(u_r=get_default(cf, :busbar₊u_r), u_i=get_default(cf, :busbar₊u_i)) end - error("Cannot create PF component model from $(cf.name)! Please proved :pfmodel metadata!") + error("Cannot create PF component model from :$(cf.name)! Please proved :pfmodel metadata!") end function powerflow_model(nw::Network) @@ -67,14 +80,11 @@ function solve_powerflow!(nw::Network; verbose=true) if !SciMLBase.successful_retcode(sol.retcode) error("Powerflow did not converge! Retcode $(sol.retcode)") end - pfs = NWState(pfnw, sol.u, pf) - # TODO: get input states as observables - _, aggbuf = NetworkDynamics.get_buffers(pfnw, uflat(pfs), pflat(pfs), NaN; initbufs=true) + pfs = NWState(pfnw, sol.u, pf) for i in 1:nv(nw) set_voltage!(nw.im.vertexm[i], pfs.v[i, :busbar₊u_r] + im * pfs.v[i, :busbar₊u_i]) - ir, ii = aggbuf[nw.im.v_aggr[i]] - set_current!(nw.im.vertexm[i], ir + im*ii) + set_current!(nw.im.vertexm[i], pfs.v[i, :busbar₊i_r] + im * pfs.v[i, :busbar₊i_i]) end println("Found powerflow solution:") @@ -88,12 +98,20 @@ function show_powerflow(nw::Network) dict = OrderedDict() dict["N"] = 1:nv(nw) dict["Bus Names"] = [cf.name for cf in nw.im.vertexm] - s = NWState(nw) - u = Complex.(s.v[:, :busbar₊u_r], s.v[:, :busbar₊u_i]) - _, aggbuf = NetworkDynamics.get_buffers(s.nw, uflat(s), pflat(s), NaN; initbufs=true) + # s = NWState(nw) + u = Vector{Complex{Float64}}(undef, nv(nw)) + S = Vector{Complex{Float64}}(undef, nv(nw)) - i = [Complex(aggbuf[nw.im.v_aggr[k]]...) for k in 1:nv(nw)] - S = u .* conj.(i) + try + for (i, cf) in pairs(nw.im.vertexm) + u[i] = get_voltage(cf) + S[i] = get_power(cf) + end + catch e + throw(ArgumentError("Could not extract voltage and power from vertex + models, make sure that all bus models have default voltage and current + set. For example by calling `solve_powerflow!`")) + end dict["vm [pu]"] = abs.(u) dict["varg [deg]"] = rad2deg.(angle.(u)) @@ -105,13 +123,20 @@ end function initialize!(nw::Network; verbose=true) for cf in nw.im.vertexm - NetworkDynamics.initialize_component!(cf; verbose=false) + fp = length(freep(cf)) + fu = length(freeu(cf)) + try + NetworkDynamics.initialize_component!(cf; verbose=false) + catch e + println(e.msg) + set_metadata!(cf, :init_residual, Inf) + end res = LinearAlgebra.norm(get_metadata(cf, :init_residual)) if verbose if res < 1e-8 - printstyled("$(cf.name) successful! (residual=$res)\n", color=:green) + printstyled("$(cf.name) successful! ($fu/$fp free states/p; residual=$res)\n", color=:green) else - printstyled("$(cf.name) failed! (residual=$res)\n", color=:red) + printstyled("$(cf.name) failed! ($fu/$fp free states/p; residual=$res)\n", color=:red) end else res > 1e-8 && @warn "Initialization of $(cf.name) failed! Residual: $res" diff --git a/src/utils.jl b/src/utils.jl index 622abec..3a5979c 100644 --- a/src/utils.jl +++ b/src/utils.jl @@ -87,6 +87,8 @@ function set_voltage!(cf::VertexModel, c::Complex) c end +get_voltage(cf::VertexModel) = get_default(cf, :busbar₊u_r) + im * get_default(cf, :busbar₊u_i) + function set_current!(cf::VertexModel; P, Q) @assert has_default(cf, :busbar₊u_r) && has_default(cf, :busbar₊u_i) u = get_default(cf, :busbar₊u_r) + im * get_default(cf, :busbar₊u_i) @@ -100,6 +102,9 @@ function set_current!(cf::VertexModel, c::Complex) c end +get_current(cf::VertexModel) = -1 * (get_default(cf, :busbar₊i_r) + im * get_default(cf, :busbar₊i_i)) +get_power(cf::VertexModel) = get_voltage(cf) * conj(get_current(cf)) + """ small_signal_stability_analysis(h::ODEFunction, eq_point, p = nothing) @@ -159,3 +164,8 @@ function separate_differential_constraint_eqs(M, p=nothing) return c_idx, d_idx end + +function normalize_angle(θ) + θ = mod2pi(θ) + θ >= π ? θ - 2π : θ +end diff --git a/test/Library_test.jl b/test/Library_test.jl index 1fe5889..59fc971 100644 --- a/test/Library_test.jl +++ b/test/Library_test.jl @@ -329,6 +329,42 @@ end isinteractive() && plottoi(toi) end +@testset "test zip load" begin + # constant power + @named load = ZIPLoad(Pset=-1, Qset=-1, Vset=1, + KpZ=0, KpI=0, KpC=1, + KqZ=0, KqI=0, KqC=1) + bus = Bus(MTKBus(load)) + toi = bus_on_slack(bus) + isinteractive() && plottoi(toi) + + # constant current + @named load = ZIPLoad(Pset=-1, Qset=-1, Vset=1, + KpZ=0, KpI=1, KpC=0, + KqZ=0, KqI=1, KqC=0) + bus = Bus(MTKBus(load)) + toi = bus_on_slack(bus) + toi["current"] = OrderedDict( + "current magnitude at bus" => VIndex(2,:busbar₊i_mag), + "real current" => VIndex(2,:load₊terminal₊i_r), + "imaginary current" => VIndex(2,:load₊terminal₊i_i), + ) + isinteractive() && plottoi(toi) + + # constant Z + @named load = ZIPLoad(Pset=-1, Qset=-1, Vset=1, + KpZ=1, KpI=0, KpC=0, + KqZ=1, KqI=0, KqC=0) + bus = Bus(MTKBus(load)) + toi = bus_on_slack(bus) + toi["current"] = OrderedDict( + "current magnitude at bus" => VIndex(2,:busbar₊i_mag), + "real current" => VIndex(2,:load₊terminal₊i_r), + "imaginary current" => VIndex(2,:load₊terminal₊i_i), + ) + isinteractive() && plottoi(toi) # neither i nor p is constant +end + @testset "Classical machine" begin @mtkmodel GenBus begin @components begin @@ -361,3 +397,25 @@ end toi = bus_on_slack(bus; tmax=600, toilength=10_000) isinteractive() && plottoi(toi) end + +@testset "AVR model" begin + E1 = 3.5461 + E2 = 4.7281 + Se1 = 0.08 + Se2 = 0.26 + se_quad = x -> Library.quadratic_ceiling(x, E1, E2, Se1, Se2) + Ae, Be = Library.solve_ceilf(E1=>Se1, E2=>Se2) + se_exp = x -> Ae* exp(Be*x) + + if isinteractive() + let fig = Figure() + ax = Axis(fig[1,1]) + xs = range(0, 6; length=100) + lines!(ax, xs, se_quad.(xs); label="quad") + lines!(ax, xs, se_exp.(xs); label="exp") + axislegend(ax) + scatter!(ax, [(E1, Se1), (E2, Se2)]) + fig + end + end +end diff --git a/test/Project.toml b/test/Project.toml index 6e9efa9..ea37357 100644 --- a/test/Project.toml +++ b/test/Project.toml @@ -8,6 +8,8 @@ DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0" DiffEqCallbacks = "459566f4-90b8-5000-8ac3-15dfb0a30def" ExplicitImports = "7d51a73a-1435-4ff3-83d9-f097790105c7" Graphs = "86223c79-3864-5bf0-83f7-82e725a168b6" +JSON = "682c06a0-de6a-54ab-a142-c8b1cf79cde6" +LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e" Makie = "ee78f7c6-11fb-53f2-987a-cfe4a2b5a57a" ModelingToolkit = "961ee093-0014-501f-94e3-6117800e7a78" ModelingToolkitStandardLibrary = "16a59e39-deab-5bd0-87e4-056b12336739" diff --git a/test/runtests.jl b/test/runtests.jl index 16bfd2a..e20fb64 100644 --- a/test/runtests.jl +++ b/test/runtests.jl @@ -4,7 +4,6 @@ using Aqua using ExplicitImports using NetworkDynamics using ModelingToolkit -using ModelingToolkit: t_nounits as t, D_nounits as Dt using ModelingToolkitStandardLibrary using ModelingToolkitStandardLibrary.Blocks using Makie @@ -43,43 +42,7 @@ using OpPoDynTesting @safetestset "Library tests" begin include("Library_test.jl") end @safetestset "utils tests" begin include("utils_test.jl") end - - @testset "pin parameters" begin - @mtkmodel Inner begin - @parameters begin - a = 0 - b = 0 - end - @variables begin - i(t) - end - @equations begin - i ~ a + b - end - end - @mtkmodel Outer begin - @components begin - inner = Inner() - end - @parameters begin - a = 0 - b = 0 - end - @variables begin - o(t) - end - @equations begin - o ~ inner.i * (a + b) - end - end - @named outer = Outer() - full_equations(outer) - sys1 = pin_parameters(outer, :a => 1) - sys2 = pin_parameters(outer, :outer₊b => 1) - full_equations(sys1) - full_equations(sys2) - sys1 = pin_parameters(outer, outer.inner.a => 1) - sys2 = pin_parameters(outer, :inner₊a => 1) - @test full_equations(sys1) == full_equations(sys2) + @testset "validation tests" begin + @safetestset "ieee39 RMSPowerSims.jl" begin include(joinpath("validation", "ieee39_RMSPowerSims.jl", "ieee39_validation.jl")) end end end diff --git a/test/utils_test.jl b/test/utils_test.jl index 1e7a606..69d8126 100644 --- a/test/utils_test.jl +++ b/test/utils_test.jl @@ -1,6 +1,7 @@ using OpPoDyn using OpPoDyn.Library using ModelingToolkit +using ModelingToolkit: t_nounits as t, D_nounits as Dt using ModelingToolkit: get_name @testset "test @attach_metadata!" begin @@ -28,3 +29,42 @@ using ModelingToolkit: get_name @test ModelingToolkit.get_metadata(MyModel()) == (;origin="file", another=:foo) @test get_name(MyModel()) == :newname end + +@testset "pin parameters" begin + @mtkmodel Inner begin + @parameters begin + a = 0 + b = 0 + end + @variables begin + i(t) + end + @equations begin + i ~ a + b + end + end + @mtkmodel Outer begin + @components begin + inner = Inner() + end + @parameters begin + a = 0 + b = 0 + end + @variables begin + o(t) + end + @equations begin + o ~ inner.i * (a + b) + end + end + @named outer = Outer() + full_equations(outer) + sys1 = pin_parameters(outer, :a => 1) + sys2 = pin_parameters(outer, :outer₊b => 1) + full_equations(sys1) + full_equations(sys2) + sys1 = pin_parameters(outer, outer.inner.a => 1) + sys2 = pin_parameters(outer, :inner₊a => 1) + @test full_equations(sys1) == full_equations(sys2) +end diff --git a/test/validation/ieee39_RMSPowerSims.jl/data/bus30.csv b/test/validation/ieee39_RMSPowerSims.jl/data/bus30.csv new file mode 100644 index 0000000..70590ab --- /dev/null +++ b/test/validation/ieee39_RMSPowerSims.jl/data/bus30.csv @@ -0,0 +1,1794 @@ +t,V,θ,Eq,Ed,ψ1d,ψ2q,δ,ω,Id,Iq,Pg,Qg,dEq,dEd,dψ1d,dψ2q,dδ,dω,Efd,Vt,Vr,Vf,dEfd,dVt,dVr,dVf,Pm,Pv,Tm,dPm,dPv 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/dev/null +++ b/test/validation/ieee39_RMSPowerSims.jl/ieee39_validation.jl @@ -0,0 +1,316 @@ +using OpPoDyn +using OpPoDyn.Library +using ModelingToolkit +using NetworkDynamics +using CairoMakie +using JSON +using OrderedCollections +using DataFrames +using OrdinaryDiffEqRosenbrock +using OrdinaryDiffEqNonlinearSolve +using DiffEqCallbacks +using CSV +using LinearAlgebra +using Test + +DATA = joinpath(pkgdir(OpPoDyn), "test", "validation", "ieee39_RMSPowerSims.jl", "data") + +json = JSON.parsefile(joinpath(DATA, "ieee39.json"),dicttype=OrderedDict) + +# define functions to load the "reference" timeseries from csv files +function load_data(i) + CSV.read(joinpath(DATA, "bus$i.csv"), DataFrame) +end +function load_ts(i, sym; f=x->x) + df = load_data(i) + collect(zip(df.t, f.(getproperty(df, sym)))) +end + +# helperfunciton to transform json dicts into dataframes +function dict_to_df(dict; cols...) + df = DataFrame(; cols...) + for (k, v) in dict + push!(df, v; cols=:subset) + end + df +end + +# define the main branch dataframe +branch_df = sort!(dict_to_df(json["branch"]; index=Int[], f_bus=Int[], t_bus=Int[], br_r=Float64[], br_x=Float64[], tap=Float64[], shift=Float64[], br_status=Int[], transformer=Int[], g_fr=Float64[], b_fr=Float64[], g_to=Float64[], b_to=Float64[]), :index) + +# define commbinde bus dataframe which contains all the dynamical parameters +bus_df = let + bus_df = sort!(dict_to_df(json["bus"]; index=Int[], bus_type=Int[], base_kv=Float64[], vm=Float64[], va=Float64[]), :index) + + # add loads data to bus_df + _load_df = dict_to_df(json["load"]; load_bus=Int[], pd=Float64[], qd=Float64[]) + leftjoin!(bus_df, select(_load_df, :load_bus, :pd, :qd); on=:index=>:load_bus) + + # add gen data to bus_Df + _gen_df = dict_to_df(json["gen"]; gen_bus=Int[], pg=Float64[], qg=Float64[], vg=Float64[], mbase=Float64[], vbase=Float64[]) + leftjoin!(bus_df, select(_gen_df, :gen_bus, :pg, :qg, :vg, :vbase, :mbase); on=:index=>:gen_bus) + + # add dynamic load data + _dynload_df = DataFrame(;) + for (i, loaddat) in enumerate(values(json["load"])) + local p = loaddat["dynamic_model"]["parameters"] + p = OrderedDict(p) + p["bus"] = loaddat["load_bus"] + push!(_dynload_df, p; cols=:union) + end + leftjoin!(bus_df, _dynload_df, on=:index=>:bus) + + _machine_df = DataFrame(;) + _avr_df = DataFrame(;) + _gov_df = DataFrame(;) + for (i, gendat) in enumerate(values(json["gen"])) + # machine parameters + local p = gendat["dynamic_model"]["parameters"] + p = OrderedDict(p) + p["bus"] = gendat["gen_bus"] + delete!(p, "index") # remove index key to avoid conflict on leftjoin + push!(_machine_df, p; cols=:union) + + # avr parameters + if haskey(gendat["dynamic_model"]["controllers"], "IEEET1") + p = gendat["dynamic_model"]["controllers"]["IEEET1"]["parameters"] + p["bus"] = gendat["gen_bus"] + push!(_avr_df, p; cols=:union) + end + # gov parameeters + if haskey(gendat["dynamic_model"]["controllers"], "TGOV1") + p = gendat["dynamic_model"]["controllers"]["TGOV1"]["parameters"] + p["bus"] = gendat["gen_bus"] + push!(_gov_df, p; cols=:union) + end + end + + leftjoin!(bus_df, _machine_df; on=:index=>:bus) + leftjoin!(bus_df, _avr_df; on=:index=>:bus) + leftjoin!(bus_df, _gov_df; on=:index=>:bus) + bus_df +end + +# TODO: check vref/pset after init +_missing_to_zero(x) = ismissing(x) ? 0.0 : x +ptotal(i) = _missing_to_zero(bus_df[i, :pg]) - _missing_to_zero(bus_df[i, :pd]) +qtotal(i) = _missing_to_zero(bus_df[i, :qg]) - _missing_to_zero(bus_df[i, :qd]) +has_load(i) = !ismissing(bus_df[i, :pd]) +has_gen(i) = !ismissing(bus_df[i, :pg]) +has_avr(i) = !ismissing(bus_df[i, :Vref]) +has_gov(i) = !ismissing(bus_df[i, :P_set]) + +@time branches = let + branches = [] + for p in eachrow(branch_df) + println("Branch: $(p.f_bus) -> $(p.t_bus)") + + tapkw = if p.transformer == true + src_kv = bus_df[p.f_bus, :base_kv] + dst_kv = bus_df[p.t_bus, :base_kv] + # TODO: looks like the tap is allways at src bus no matter where the high voltage side is + (; r_src = 1/p.tap) + # if src_kv > dst_kv + # (; r_src = 1/p.tap) + # elseif src_kv < dst_kv + # (; r_dst = 1/p.tap) + # end + else + (;) + end + + @named pibranch = PiLine(; + R=p.br_r, X=p.br_x, + B_src = p.b_fr, B_dst = p.b_to, + G_src = p.g_fr, G_dst = p.g_to, + tapkw... + ) + line = Line(MTKLine(pibranch); src=p.f_bus, dst=p.t_bus) + push!(branches, line) + end + branches +end; + +@time busses = let + busses = [] + for i in 1:39 + print("Bus $i:") + + local p = bus_df[i, :] + components = [] # vector to collect dynamical components + + if has_load(i) + @named load = ZIPLoad(; + KpZ=p.Kpz,KpI=p.Kpi, KqZ=p.Kqz, KqI=p.Kqi, + Pset=-p.pd, Qset=-p.qd + ) + push!(components, load) + print(" Load") + end + + if has_gen(i) + print(" Machine") + controleqs = Equation[] # equations connecting avr and gov to machine + @named machine = SauerPaiMachine(; + R_s = p.Rs, X_ls = p.Xl, + X_d = p.Xd, X_q = p.Xq, + X′_d = p.Xd_d, X′_q = p.Xq_d, + X″_d = p.Xd_dd, X″_q = p.Xq_dd, + T′_d0 = p.Td_d, T′_q0 = p.Tq_d, + T″_d0 = p.Td_dd, T″_q0 = p.Tq_dd, + H = p.H, + S_b = json["baseMVA"], Sn = p.mbase, + V_b = p.base_kv, Vn = p.vbase, + ω_b = json["dynamic_model_parameters"]["f_nom"]*2π, + ) + + # add dynamic or fixed avr + if has_avr(i) + print(" AVR") + @named avr = AVRTypeI( + ceiling_function=:quadratic, + # vref = p.Vref # let this free for initialization + Ka = p.Ka, Ke = p.Ke, Kf = p.Kf, + Ta = p.Ta, Tf = p.Tf, Te = p.Te, Tr = p.Tr, + vr_min = p.Vrmin, vr_max = p.Vrmax, + E1 = p.E1, Se1 = p.Se1, E2 = p.E2, Se2 = p.Se2, + ) + append!(controleqs, [connect(machine.v_mag_out, avr.vh), connect(avr.vf, machine.vf_in)]) + else + @named avr = AVRFixed() + append!(controleqs, [connect(avr.vf, machine.vf_in)]) + end + + # add dynamic or fixed gove + if has_gov(i) + print(" Gov") + @named gov = TGOV1(; + # p_ref = p.P_set, # let this free for initialization + V_min = p.Vmin, V_max = p.Vmax, DT = 0, + R = p.Rd, T1 = p.T1, T2 = p.T2, T3 = p.T3, + ) + append!(controleqs, [connect(gov.τ_m, machine.τ_m_in), connect(machine.ωout, gov.ω_meas)]) + else + @named gov = GovFixed() + append!(controleqs, [connect(gov.τ_m, machine.τ_m_in)]) + end + + comp = CompositeInjector( + [machine, avr, gov], + controleqs, + name=:ctrld_gen + ) + push!(components, comp) + end + + # we also add the powerflow model based on the bus_type + pfmodel = if p.bus_type == 1 + # PQ bus with S = S_gen - S_demand + pfPQ(P=ptotal(i), Q=qtotal(i)) + elseif p.bus_type == 2 + # PV bus with P = P_gen - P_demand and V from (static) generator reference + pfPV(P=ptotal(i), V=p.vg) + elseif p.bus_type == 3 + # Slack bus with voltage from generator reference andangle 0 + pfSlack(;V=p.vg, δ=0) + end + + bus = Bus(MTKBus(components...); vidx=i, pf=pfmodel, name=Symbol("bus$i")) + push!(busses, bus) + println() + end + busses +end; + +nw = Network(copy.(busses), copy.(branches)) +OpPoDyn.solve_powerflow!(nw) + +# Buses 31 and 39 have a load attached, we need to manualy initialize the Vset for those +set_default!(nw.im.vertexm[31], :load₊Vset, norm(get_initial_state.(Ref(nw.im.vertexm[31]), [:busbar₊u_r,:busbar₊u_i]))) +set_default!(nw.im.vertexm[39], :load₊Vset, norm(get_initial_state.(Ref(nw.im.vertexm[39]), [:busbar₊u_r,:busbar₊u_i]))) +OpPoDyn.initialize!(nw) + +@testset "Test initialization" begin + # test powerflow results agains reference + df = OpPoDyn.show_powerflow(nw) + @test df."vm [pu]" ≈ bus_df.vm + @test df."varg [deg]" ≈ rad2deg.(bus_df.va) + # test initialized controller references Vref and P_set against reference + @test bus_df[30:38, :Vref] ≈ get_initial_state.(nw.im.vertexm[30:38], :ctrld_gen₊avr₊vref) + @test bus_df[30:38, :P_set] ≈ get_initial_state.(nw.im.vertexm[30:38], :ctrld_gen₊gov₊p_ref) +end + +#### +#### solve dyn system +#### +increase_load = ComponentAffect([], [:load₊Pset]) do u, p, ctx + println("Change load setpoint at $(ctx.t)") + p[:load₊Pset] *= 1.2 +end +inc_cb = PresetTimeComponentCallback(1, increase_load) +set_callback!(nw[VIndex(16)], inc_cb) + +s0 = NWState(nw) +prob = ODEProblem(nw, copy(uflat(s0)), (0,15), copy(pflat(s0)); callback=get_callbacks(nw)) +sol = solve(prob, Rodas5P()); + +# plot he desired +#= +let + fig = Figure() + ax = Axis(fig[1,1]; title="Power demand at bus 16", xlabel="Time [s]", ylabel="P [pu]") + lines!(ax, load_ts(16, :Pd;f=x->-x)) + lines!(ax, sol, idxs=vidxs(sol, 16, :busbar₊P), color=Cycled(2)) + fig +end + +# plot of generator states +function plot_gen_states(title, rmssym, ndsym) + fig = Figure(size=(1000,800)) + row = 1; col = 1 + for row in 1:3, col in 1:3 + i = 30 + 3*(row-1) + col + ax = Axis(fig[row, col], title=title*" at bus $i") + try lines!(ax, load_ts(i, rmssym)); catch; end + idxs = ndsym isa Symbol ? VIndex(i, ndsym) : ndsym(i) + try lines!(ax, sol; idxs, color=Cycled(2)); catch; end + end + fig +end +plot_gen_states("Voltage magnitude", :V, :busbar₊u_mag) +plot_gen_states("Machine frequency", :ω, :ctrld_gen₊machine₊ω) +plot_gen_states("Machine angle", :δ, i->@obsex(VIndex(i, :ctrld_gen₊machine₊δ)-VIndex(39, :ctrld_gen₊machine₊δ)+load_data(39).δ[1])) +plot_gen_states("Mechanical Torque", :Tm, :ctrld_gen₊machine₊τ_m) +plot_gen_states("Excitation voltage (contains ceiling)", :Efd, :ctrld_gen₊machine₊vf) +plot_gen_states("Regulator voltage (limited)", :Vr, :ctrld_gen₊avr₊vr) +plot_gen_states("Gov valve (limited)", :Pv, :ctrld_gen₊gov₊xg1) +=# + +function states_deviation(i, rmssym, ndsym) + ref = load_ts(i, rmssym) + ref_t = first.(ref) + ref_v = last.(ref) + sim_v = sol(ref_t, idxs=VIndex(i, ndsym)).u + sum((sim_v - ref_v).^2)/length(ref_v) +end + +@testset "generator state deviation" begin + for i in 30:39 + @test states_deviation(i, :V, :busbar₊u_mag) < 1e-8 + end + for i in 30:39 + @test states_deviation(i, :ω, :ctrld_gen₊machine₊ω) < 1e-8 + end + for i in 30:38 # not for 39, no controller + @test states_deviation(i, :Tm, :ctrld_gen₊machine₊τ_m) < 1e-8 + end + for i in 30:38 # not for 39 + @test states_deviation(i, :Efd, :ctrld_gen₊machine₊vf) < 1e-7 + end + for i in 30:38 # not for 39 + @test states_deviation(i, :Vr, :ctrld_gen₊avr₊vr) < 1e-7 + end + for i in 30:38 # not for 39 + @test states_deviation(i, :Pv, :ctrld_gen₊gov₊xg1) < 1e-7 + end +end