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| 1 | +using ModelingToolkit |
| 2 | +using Test |
| 3 | +using IfElse: ifelse |
| 4 | + |
| 5 | +@parameters t |
| 6 | +D = Differential(t) |
| 7 | + |
| 8 | +@connector function HydraulicPort(; p_int, name) |
| 9 | + pars = @parameters begin |
| 10 | + ρ |
| 11 | + β |
| 12 | + μ |
| 13 | + n |
| 14 | + let_gas |
| 15 | + ρ_gas |
| 16 | + p_gas |
| 17 | + end |
| 18 | + |
| 19 | + vars = @variables begin |
| 20 | + p(t) = p_int |
| 21 | + dm(t), [connect = Flow] |
| 22 | + end |
| 23 | + |
| 24 | + ODESystem(Equation[], t, vars, pars; name, defaults = [dm => 0]) |
| 25 | +end |
| 26 | + |
| 27 | +@connector function HydraulicFluid(; |
| 28 | + density = 997, |
| 29 | + bulk_modulus = 2.09e9, |
| 30 | + viscosity = 0.0010016, |
| 31 | + name) |
| 32 | + pars = @parameters begin |
| 33 | + ρ = density |
| 34 | + β = bulk_modulus |
| 35 | + μ = viscosity |
| 36 | + end |
| 37 | + |
| 38 | + vars = @variables begin |
| 39 | + dm(t), [connect = Flow] |
| 40 | + end |
| 41 | + |
| 42 | + eqs = [ |
| 43 | + dm ~ 0, |
| 44 | + ] |
| 45 | + |
| 46 | + ODESystem(eqs, t, vars, pars; name, defaults = [dm => 0]) |
| 47 | +end |
| 48 | + |
| 49 | +function FixedPressure(; p, name) |
| 50 | + pars = @parameters begin |
| 51 | + p = p |
| 52 | + end |
| 53 | + |
| 54 | + vars = [] |
| 55 | + |
| 56 | + systems = @named begin |
| 57 | + port = HydraulicPort(; p_int = p) |
| 58 | + end |
| 59 | + |
| 60 | + eqs = [ |
| 61 | + port.p ~ p, |
| 62 | + ] |
| 63 | + |
| 64 | + ODESystem(eqs, t, vars, pars; name, systems) |
| 65 | +end |
| 66 | + |
| 67 | +function FixedVolume(; vol, p_int, name) |
| 68 | + pars = @parameters begin |
| 69 | + p_int = p_int |
| 70 | + vol = vol |
| 71 | + end |
| 72 | + |
| 73 | + systems = @named begin |
| 74 | + port = HydraulicPort(; p_int) |
| 75 | + end |
| 76 | + |
| 77 | + vars = @variables begin |
| 78 | + rho(t) = port.ρ |
| 79 | + drho(t) = 0 |
| 80 | + end |
| 81 | + |
| 82 | + # let |
| 83 | + dm = port.dm |
| 84 | + p = port.p |
| 85 | + |
| 86 | + eqs = [D(rho) ~ drho |
| 87 | + rho ~ port.ρ * (1 + p / port.β) |
| 88 | + dm ~ drho * vol] |
| 89 | + |
| 90 | + ODESystem(eqs, t, vars, pars; name, systems) |
| 91 | +end |
| 92 | + |
| 93 | +function Valve2Port(; p_s_int, p_r_int, p_int, name) |
| 94 | + pars = @parameters begin |
| 95 | + p_s_int = p_s_int |
| 96 | + p_r_int = p_r_int |
| 97 | + p_int = p_int |
| 98 | + x_int = 0 |
| 99 | + scale = 1.0 |
| 100 | + |
| 101 | + k = 0.1 |
| 102 | + end |
| 103 | + |
| 104 | + systems = @named begin |
| 105 | + HS = HydraulicPort(; p_int = p_s_int) |
| 106 | + HR = HydraulicPort(; p_int = p_r_int) |
| 107 | + port = HydraulicPort(; p_int) |
| 108 | + end |
| 109 | + |
| 110 | + vars = @variables begin |
| 111 | + x(t) = x_int |
| 112 | + end |
| 113 | + |
| 114 | + # let (flow) --------- |
| 115 | + Δp_s = HS.p - port.p |
| 116 | + Δp_r = port.p - HR.p |
| 117 | + |
| 118 | + x̃ = abs(x / scale) |
| 119 | + Δp̃_s = abs(Δp_s) |
| 120 | + Δp̃_r = abs(Δp_r) |
| 121 | + |
| 122 | + flow(Δp̃) = (k) * (Δp̃) * (x̃) |
| 123 | + |
| 124 | + # |
| 125 | + eqs = [domain_connect(port, HS, HR) |
| 126 | + port.dm ~ -ifelse(x >= 0, +flow(Δp̃_s), -flow(Δp̃_r)) |
| 127 | + HS.dm ~ ifelse(x >= 0, port.dm, 0) |
| 128 | + HR.dm ~ ifelse(x < 0, port.dm, 0)] |
| 129 | + |
| 130 | + ODESystem(eqs, t, vars, pars; name, systems) |
| 131 | +end |
| 132 | + |
| 133 | +function System(; name) |
| 134 | + vars = [] |
| 135 | + pars = [] |
| 136 | + systems = @named begin |
| 137 | + fluid = HydraulicFluid(; density = 500, bulk_modulus = 1e9, viscosity = 0.01) |
| 138 | + src = FixedPressure(; p = 200) |
| 139 | + rtn = FixedPressure(; p = 0) |
| 140 | + valve = Valve2Port(; p_s_int = 200, p_r_int = 0, p_int = 100) |
| 141 | + vol = FixedVolume(; vol = 0.1, p_int = 100) |
| 142 | + end |
| 143 | + eqs = [domain_connect(fluid, src.port) |
| 144 | + connect(src.port, valve.HS) |
| 145 | + connect(rtn.port, valve.HR) |
| 146 | + connect(vol.port, valve.port) |
| 147 | + valve.x ~ sin(2π * t * 10)] |
| 148 | + |
| 149 | + return ODESystem(eqs, t, vars, pars; systems, name) |
| 150 | +end |
| 151 | + |
| 152 | +@named odesys = System() |
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