Research Article
Computational Techniques for Autonomous Microgrid Load Flow Analysis
Table 2
Comparison of bus voltages for different operating conditions of the 33-bus microgrid.
| Bus number |
Basic backward forward sweep method: distribution system with no DG |
Newton Raphson method applied to 33-bus autonomous microgrid |
Backward forward sweep method applied to 33-bus autonomous microgrid |
Distributed slack bus based method applied to 33-bus autonomous microgrid | Summer demand voltage in p.u. | Winter demand voltage in p.u. | Summer demand voltage in p.u. | Winter demand voltage in p.u. | Summer demand voltage in p.u. | Winter demand voltage in p.u. | Summer demand voltage in p.u. | Winter demand voltage in p.u. |
| 1 | 1 | 1 | 0.9982 | 0.9979 | 0.9986 | 0.9983 | 0.9986 | 0.9983 | 2 | 0.9971 | 0.9964 | 0.9982 | 0.9979 | 0.9986 | 0.9983 | 0.9986 | 0.9983 | 3 | 0.9829 | 0.9792 | 1.000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 4 | 0.9755 | 0.9701 | 0.9991 | 0.9996 | 0.9990 | 0.9995 | 0.9990 | 0.9752 | 5 | 0.9681 | 0.9611 | 0.9985 | 0.9996 | 0.9982 | 0.9994 | 0.9982 | 0.9751 | 6 | 0.9497 | 0.9386 | 0.9972 | 0.9999 | 0.9966 | 0.9993 | 0.9918 | 0.9750 | 7 | 0.9462 | 0.9343 | 0.9974 | 0.9994 | 0.9967 | 0.9988 | 0.9918 | 0.9744 | 8 | 0.9413 | 0.9284 | 0.9981 | 0.9991 | 0.9971 | 0.9984 | 0.9972 | 0.9740 | 9 | 0.9351 | 0.9208 | 1.0009 | 1.0010 | 1.0000 | 1.0002 | 1.0000 | 1.0000 | 10 | 0.9292 | 0.9136 | 0.9955 | 0.9946 | 0.9945 | 0.9937 | 0.9946 | 0.9935 | 11 | 0.9284 | 0.9126 | 0.9947 | 0.9936 | 0.9937 | 0.9927 | 0.9938 | 0.9930 | 12 | 0.9269 | 0.9107 | 0.9934 | 0.9920 | 0.9923 | 0.9910 | 0.9924 | 0.9908 | 13 | 0.9208 | 0.9033 | 0.9877 | 0.9852 | 0.9866 | 0.9842 | 0.9867 | 0.9840 | 14 | 0.9185 | 0.9005 | 0.9856 | 0.9828 | 0.9845 | 0.9816 | 0.9846 | 0.9814 | 15 | 0.9171 | 0.8988 | 0.9843 | 0.9812 | 0.9832 | 0.9800 | 0.9832 | 0.9798 | 16 | 0.9157 | 0.8971 | 0.9830 | 0.9797 | 0.9819 | 0.9785 | 0.9820 | 0.9783 | 17 | 0.9137 | 0.8946 | 0.9811 | 0.9775 | 0.9800 | 0.9762 | 0.9801 | 0.9760 | 18 | 0.9131 | 0.8938 | 0.9806 | 0.9768 | 0.9794 | 0.9755 | 0.9795 | 0.9753 | 19 | 0.9965 | 0.9958 | 0.9977 | 0.9973 | 0.9981 | 0.9976 | 0.9981 | 0.9977 | 20 | 0.9929 | 0.9915 | 0.9942 | 0.9930 | 0.9945 | 0.9933 | 0.9945 | 0.9934 | 21 | 0.9922 | 0.9906 | 0.9935 | 0.9922 | 0.9938 | 0.9925 | 0.9938 | 0.9925 | 22 | 0.9916 | 0.9899 | 0.9928 | 0.9914 | 0.9932 | 0.9917 | 0.9932 | 0.9918 | 23 | 0.9794 | 0.9749 | 0.9965 | 0.9958 | 0.9965 | 0.9958 | 0.9965 | 0.9958 | 24 | 0.9727 | 0.9669 | 0.9900 | 0.9881 | 0.9899 | 0.9879 | 0.9899 | 0.9879 | 25 | 0.9694 | 0.9628 | 0.9868 | 0.9842 | 0.9867 | 0.9840 | 0.9867 | 0.9840 | 26 | 0.9477 | 0.9362 | 0.9972 | 1.0005 | 0.9966 | 1.0000 | 0.9917 | 0.9756 | 27 | 0.9452 | 0.9331 | 0.9973 | 1.0016 | 0.9966 | 1.0010 | 0.9918 | 0.9767 | 28 | 0.9337 | 0.9191 | 0.9975 | 1.0062 | 0.9968 | 1.0053 | 0.9919 | 0.9811 | 29 | 0.9255 | 0.9091 | 0.9980 | 1.0102 | 0.9973 | 1.0091 | 0.9924 | 0.9850 | 30 | 0.9220 | 0.9047 | 0.9991 | 1.0133 | 0.9984 | 1.0121 | 0.9935 | 0.9881 | 31 | 0.9178 | 0.8996 | 1.0056 | 1.0252 | 1.0048 | 1.0238 | 1.0000 | 1.0000 | 32 | 0.9169 | 0.8985 | 1.0048 | 1.0242 | 1.0040 | 1.0228 | 0.9992 | 0.9990 | 33 | 0.9166 | 0.8981 | 1.0045 | 1.0239 | 1.0037 | 1.0225 | 0.9989 | 0.9987 |
|
|