Table 5 The optimal setting for the ORPD solution process by the WAA and the MWAA.
Control variables | Min. | Max. | \(\:{\mathbf{P}}_{\mathbf{L}\mathbf{o}\mathbf{s}\mathbf{s}}\) minimization | \(\:\mathbf{V}\mathbf{D}\) minimization | ||
|---|---|---|---|---|---|---|
MWAA | WAA | MWAA | WAA | |||
V 1\(\:(p.u.)\) | 0.90 | 1 0.1 | 1.1000 | 1.1000 | 1.0182 | 1.0277 |
V 2 \(\:(p.u.)\) | 0.90 | 1 0.1 | 1.1000 | 1.1000 | 1.0151 | 1.0274 |
V 5 \(\:(p.u.)\) | 0.90 | 1 0.1 | 1.0982 | 1.1000 | 1.0741 | 1.0269 |
V 8 \(\:(p.u.)\) | 0.90 | 1 0.1 | 1.0840 | 1.0402 | 0.9841 | 1.0264 |
V 11 \(\:(p.u.)\) | 0.90 | 1 0.1 | 1.0975 | 1.0997 | 1.0555 | 1.0280 |
V 13 \(\:(p.u.)\) | 0.90 | 1 0.1 | 1.0999 | 1.1000 | 1.0123 | 1.0265 |
T11 | 0.90 | 1 0.1 | 0.9900 | 1.0800 | 1.0100 | 1.0300 |
T12 | 0.90 | 1 0.1 | 0.9600 | 1.0500 | 0.9600 | 1.0300 |
T15 | 0.90 | 1 0.1 | 1.0000 | 1.1000 | 0.9800 | 1.0300 |
T36 | 0.90 | 1 0.1 | 0.9700 | 1.0100 | 0.9700 | 1.0300 |
Q10 \(\:\left(MVar\right)\) | 0 | 5 | 3.7500 | 0 | 3.0000 | 4.4000 |
Q12 \(\:\left(MVar\right)\) | 0 | 5 | 2.7300 | 3.0000 | 3.3400 | 4.3900 |
Q15 \(\:\left(MVar\right)\) | 0 | 5 | 1.1000 | 0 | 4.0200 | 4.3900 |
Q17 \(\:\left(MVar\right)\) | 0 | 5 | 3.5500 | 4.6500 | 3.1900 | 4.3700 |
Q20 \(\:\left(MVar\right)\) | 0 | 5 | 5.0000 | 5.0000 | 4.6900 | 4.4000 |
Q21 \(\:\left(MVar\right)\) | 0 | 5 | 5.0000 | 4.4000 | 3.5500 | 4.3700 |
Q23 \(\:\left(MVar\right)\) | 0 | 5 | 4.9900 | 0.7900 | 4.2300 | 4.4100 |
Q24 \(\:\left(MVar\right)\) | 0 | 5 | 4.9900 | 4.3600 | 3.5900 | 4.4200 |
Q29 \(\:\left(MVar\right)\) | 0 | 5 | 2.1100 | 3.4500 | 4.1800 | 4.4200 |
\(\:{\text{P}}_{\text{L}\text{o}\text{s}\text{s}\:}\left(\text{M}\text{W}\right)\) | Â | Â | 4.5845 | 4.8170 | 5.6524 | 5.4981 |
\(\:\text{V}\text{D}\:(\text{p}.\text{u}.)\) | Â | Â | 1.9890 | 0.7670 | 0.1240 | 0.3701 |
\(\:{L}_{\text{m}\text{a}\text{x}\:}(\text{p}.\text{u}.)\) | Â | Â | 0.1159 | 0.1286 | 0.1360 | 0.1398 |