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Safety in RL #101 started with condensed matrices
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using ElectricGrid | ||
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CM = [ 0. 0. 1. | ||
0. 0. 2. | ||
-1. -2. 0.] | ||
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#R_load, L_load, _, _ = ParallelLoadImpedance(50e3, 0.95, 230) | ||
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parameters = | ||
Dict{Any, Any}( | ||
"source" => Any[ | ||
Dict{Any, Any}( | ||
"pwr" => 200e3, | ||
"fltr" => "LCL", | ||
"L1" => 70e-6, | ||
"R1" => 1.1e-3, | ||
"C" => 300e-6, | ||
"R_C" => 7e-3, | ||
"control_type" => "classic", | ||
"mode" => "Droop",), | ||
], | ||
"load" => Any[ | ||
Dict{Any, Any}( | ||
"impedance" => "R", | ||
"R" => 100, | ||
"v_limit" => 1e4, | ||
"i_limit" => 1e4) | ||
], | ||
"grid" => Dict{Any, Any}( | ||
"phase" => 1, | ||
"ramp_end" => 0.04,) | ||
) | ||
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env = ElectricGridEnv( | ||
#CM = CM, | ||
parameters = parameters, | ||
t_end = 1, | ||
action_delay = 0, | ||
verbosity = 0) | ||
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env.A | ||
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#= To exclude the cable C from matrix and conpare result with matlab: | ||
- LCL filter, only use LC (not 2nd L) for SG calculation, since we have no cable in matlab | ||
- Matrix look to be the same -> A_P10 | ||
- Caculate condensed system A_N and B_N | ||
- Same? | ||
- Calcuate G and E,... | ||
- Same? | ||
- Calcuate Polyhedron | ||
- Same? | ||
- Use it to ensure safety | ||
=# | ||
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A_P10 = env.A[1:2,1:2] | ||
B_P10 = env.B[1:2] | ||
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W_u = [-1; 1] | ||
omega_u = [ | ||
env.nc.parameters["source"][1]["vdc"]; | ||
env.nc.parameters["source"][1]["vdc"] | ||
] | ||
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W_x = [ | ||
-1 0; | ||
1 0; | ||
0 -1 | ||
0 1 | ||
] | ||
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omega_x = [ | ||
env.nc.parameters["source"][1]["i_limit"]; | ||
env.nc.parameters["source"][1]["i_limit"]; | ||
env.nc.parameters["source"][1]["v_limit"]; | ||
env.nc.parameters["source"][1]["v_limit"] | ||
] | ||
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A_sqare = A_P10^2 | ||
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N = 4 # maximum number of iteration | ||
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m = 1 # number of inputs to the system, | ||
n = size(B_P10)[1] | ||
#TODO: get from B -> here has (2,) dim and not (2,1), why? | ||
# better: (n, m) = size(B_P10) | ||
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global A_N = 1* Matrix(I, size(A_P10)[1], size(A_P10)[1]) | ||
global B_N = zeros(n, m*N) | ||
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for ii = 1:N | ||
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global A_N = [A_N; A_P10^ii] | ||
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B_N_newline = A_P10^(ii-1)*B_P10 | ||
println("First:") | ||
println(B_N_newline) | ||
println("") | ||
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for jj in 2:ii | ||
println("First:") | ||
println(A_P10^(ii-jj)*B_P10) | ||
println("") | ||
B_N_newline = hcat(B_N_newline, A_P10^(ii-jj)*B_P10) | ||
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println("") | ||
println(jj) | ||
println("") | ||
println(B_N_newline) | ||
println("") | ||
end | ||
B_N_newline = hcat(B_N_newline, zeros(n, m*(N-ii))) | ||
println("Last:") | ||
println(B_N_newline) | ||
println("") | ||
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global B_N = [B_N; B_N_newline] | ||
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end | ||
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println("") | ||
println(A_N) | ||
println("") | ||
println(B_N) | ||
println("") |