Update branch model to support asymmetrical line charging #214
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Make sure to revise this function as well, https://github.com/lanl-ansi/PowerModels.jl/blob/master/src/core/data.jl#L439 |
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Mar 28, 2018
Updated the Branch model to support asymmetrical line charging by
allowing for full complex variable in Ohms constraint equations, e.g.:
(from `form/acp.jl:90::91`)
p[f_idx] == g/tm*v[f_bus]^2 +
(-g*tr+b*ti)/tm*(v[f_bus]*v[t_bus]*cos(t[f_bus]-t[t_bus])) +
(-b*tr-g*ti)/tm*(v[f_bus]*v[t_bus]*sin(t[f_bus]-t[t_bus]))
q[f_idx] == -(b+c/2)/tm*v[f_bus]^2 -
(-b*tr-g*ti)/tm*(v[f_bus]*v[t_bus]*cos(t[f_bus]-t[t_bus])) +
(-g*tr+b*ti)/tm*(v[f_bus]*v[t_bus]*sin(t[f_bus]-t[t_bus]))
to
p[f_idx] == (g+g_fr)/tm*v[f_bus]^2 +
(-g*tr+b*ti)/tm*(v[f_bus]*v[t_bus]*cos(t[f_bus]-t[t_bus])) +
(-b*tr-g*ti)/tm*(v[f_bus]*v[t_bus]*sin(t[f_bus]-t[t_bus]))
q[f_idx] == -(b+b_fr)/tm*v[f_bus]^2 -
(-b*tr-g*ti)/tm*(v[f_bus]*v[t_bus]*cos(t[f_bus]-t[t_bus])) +
(-g*tr+b*ti)/tm*(v[f_bus]*v[t_bus]*sin(t[f_bus]-t[t_bus]))
where `c` is defined as `"br_b"`, or the total line charging susceptance
from the Matpower parser, and `g_fr` and `b_fr` are the real and
imaginary parts of the full complex admittance of the line shunt at the
"from"-bus end of the branch, respectively.
The Matpower parser now splits `"br_b"` into `b_fr = br_b / 2` and
`b_to = br_b / 2`, and assigns default values `g_fr = 0` and `g_to = 0`.
The constraints
- `constraint_loss_lb`
- `constraint_power_magnitude_link`
- `constraint_power_magnitude_link_on_off`
were changed to fail if `assert(g_fr == 0 && g_to == 0)` fails, and
assigns `c = b_fr + b_to`. These constraints will be re-derived from
first principles in the future.
Unit tests required no change.
Closes #214
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And also add a conductance parameter.
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