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🏆博主优势:🌞🌞🌞博客内容尽量做到思维缜密,逻辑清晰,为了方便读者。

⛳️座右铭:行百里者,半于九十。

📋📋📋本文目录如下:🎁🎁🎁

目录

💥1 概述

📚2 运行结果

🎉3 参考文献

🌈4 Matlab代码实现


💥1 概述

参考文献:

配电网重构是一种通过改变配电系统拓扑结构来提高系统可靠性和经济性的优化技术[

1-3] 。目前,中国正在大力发展高比例新能源发电,在配电系统中接入了大量的电动汽车(electric vehicle,EV)、光伏电源(photovoltaic,PV)、风电机组(wind turbine,

WT)和 各 种 储 能 系 统(energy storage system,ESS),从 而 使 得 配 电 系 统 中 的 分 布 式 电 源 (distributed generator,DG)的渗透率越来越高[4] ,然 而这些具有不确定性的 DG 大量接入对配电系统的主动重构也提出了越来越高的要求。

对于 SOP,既可以在秒级、分钟级等较短时间尺度实现其优化和调节功能,也可以在小时级等较

长时间尺度实现其功能。本文充分利用其较长时间尺度(小时级)的功能,与配电网重构的时间尺度一 致,将 SOP 控制与配电网重构相结合以实现 SOP 对配电网重构的协调优化作用。在高比例新能源接入的情况下,考虑 SOP 的控制进行配电网重构,可以降低系统网损,提升配电系统的新能源消纳能力,提升配电网重构的经济性。SOP[16-17] 是应用于配电系统中的一种电力电子装置,可以实现配电智能化,在配电系统中采用 SOP 取代传统的开关,可以在一定程度上实现配电系统潮流和电压的控制。SOP 在配电系统中的接入位置如附录 A 图 A1 所示,其功能由 2 个换流器加 1 个直流电容器实现。

📚2 运行结果

%% 节点负荷(标幺值)
mpc.Pload= [0.0004666666667,0.0005,0.0005666666667,0.0006333333333,0.0006666666667,0.0007333333333,0.0007666666667,0.0008,0.0008666666667,0.0009333333333,0.0009666666667,0.001,0.0009333333333,0.0008666666667,0.0008,0.0007,0.0006666666667,0.0007333333333,0.0008,0.0009333333333,0.0008666666667,0.0007333333333,0.0006,0.0005333333333;
            0.00042,0.00045,0.00051,0.00057,0.0006,0.00066,0.00069,0.00072,0.00078,0.00084,0.00087,0.0009,0.00084,0.00078,0.00072,0.00063,0.0006,0.00066,0.00072,0.00084,0.00078,0.00066,0.00054,0.00048;
            0.00056,0.0006,0.00068,0.00076,0.0008,0.00088,0.00092,0.00096,0.00104,0.00112,0.00116,0.0012,0.00112,0.00104,0.00096,0.00084,0.0008,0.00088,0.00096,0.00112,0.00104,0.00088,0.00072,0.00064;
            0.00028,0.0003,0.00034,0.00038,0.0004,0.00044,0.00046,0.00048,0.00052,0.00056,0.00058,0.0006,0.00056,0.00052,0.00048,0.00042,0.0004,0.00044,0.00048,0.00056,0.00052,0.00044,0.00036,0.00032;
            0.00028,0.0003,0.00034,0.00038,0.0004,0.00044,0.00046,0.00048,0.00052,0.00056,0.00058,0.0006,0.00056,0.00052,0.00048,0.00042,0.0004,0.00044,0.00048,0.00056,0.00052,0.00044,0.00036,0.00032;
            0.0009333333333,0.001,0.001133333333,0.001266666667,0.001333333333,0.001466666667,0.001533333333,0.0016,0.001733333333,0.001866666667,0.001933333333,0.002,0.001866666667,0.001733333333,0.0016,0.0014,0.001333333333,0.001466666667,0.0016,0.001866666667,0.001733333333,0.001466666667,0.0012,0.001066666667;
            0.0009333333333,0.001,0.001133333333,0.001266666667,0.001333333333,0.001466666667,0.001533333333,0.0016,0.001733333333,0.001866666667,0.001933333333,0.002,0.001866666667,0.001733333333,0.0016,0.0014,0.001333333333,0.001466666667,0.0016,0.001866666667,0.001733333333,0.001466666667,0.0012,0.001066666667;
            0.00028,0.0003,0.00034,0.00038,0.0004,0.00044,0.00046,0.00048,0.00052,0.00056,0.00058,0.0006,0.00056,0.00052,0.00048,0.00042,0.0004,0.00044,0.00048,0.00056,0.00052,0.00044,0.00036,0.00032;
            0.00028,0.0003,0.00034,0.00038,0.0004,0.00044,0.00046,0.00048,0.00052,0.00056,0.00058,0.0006,0.00056,0.00052,0.00048,0.00042,0.0004,0.00044,0.00048,0.00056,0.00052,0.00044,0.00036,0.00032;
            0.00021,0.000225,0.000255,0.000285,0.0003,0.00033,0.000345,0.00036,0.00039,0.00042,0.000435,0.00045,0.00042,0.00039,0.00036,0.000315,0.0003,0.00033,0.00036,0.00042,0.00039,0.00033,0.00027,0.00024;
            0.00028,0.0003,0.00034,0.00038,0.0004,0.00044,0.00046,0.00048,0.00052,0.00056,0.00058,0.0006,0.00056,0.00052,0.00048,0.00042,0.0004,0.00044,0.00048,0.00056,0.00052,0.00044,0.00036,0.00032;
            0.00028,0.0003,0.00034,0.00038,0.0004,0.00044,0.00046,0.00048,0.00052,0.00056,0.00058,0.0006,0.00056,0.00052,0.00048,0.00042,0.0004,0.00044,0.00048,0.00056,0.00052,0.00044,0.00036,0.00032;
            0.00056,0.0006,0.00068,0.00076,0.0008,0.00088,0.00092,0.00096,0.00104,0.00112,0.00116,0.0012,0.00112,0.00104,0.00096,0.00084,0.0008,0.00088,0.00096,0.00112,0.00104,0.00088,0.00072,0.00064;
            0.00028,0.0003,0.00034,0.00038,0.0004,0.00044,0.00046,0.00048,0.00052,0.00056,0.00058,0.0006,0.00056,0.00052,0.00048,0.00042,0.0004,0.00044,0.00048,0.00056,0.00052,0.00044,0.00036,0.00032;
            0.00028,0.0003,0.00034,0.00038,0.0004,0.00044,0.00046,0.00048,0.00052,0.00056,0.00058,0.0006,0.00056,0.00052,0.00048,0.00042,0.0004,0.00044,0.00048,0.00056,0.00052,0.00044,0.00036,0.00032;
            0.00028,0.0003,0.00034,0.00038,0.0004,0.00044,0.00046,0.00048,0.00052,0.00056,0.00058,0.0006,0.00056,0.00052,0.00048,0.00042,0.0004,0.00044,0.00048,0.00056,0.00052,0.00044,0.00036,0.00032;
            0.00042,0.00045,0.00051,0.00057,0.0006,0.00066,0.00069,0.00072,0.00078,0.00084,0.00087,0.0009,0.00084,0.00078,0.00072,0.00063,0.0006,0.00066,0.00072,0.00084,0.00078,0.00066,0.00054,0.00048;
            0.00042,0.00045,0.00051,0.00057,0.0006,0.00066,0.00069,0.00072,0.00078,0.00084,0.00087,0.0009,0.00084,0.00078,0.00072,0.00063,0.0006,0.00066,0.00072,0.00084,0.00078,0.00066,0.00054,0.00048;
            0.00042,0.00045,0.00051,0.00057,0.0006,0.00066,0.00069,0.00072,0.00078,0.00084,0.00087,0.0009,0.00084,0.00078,0.00072,0.00063,0.0006,0.00066,0.00072,0.00084,0.00078,0.00066,0.00054,0.00048;
            0.00042,0.00045,0.00051,0.00057,0.0006,0.00066,0.00069,0.00072,0.00078,0.00084,0.00087,0.0009,0.00084,0.00078,0.00072,0.00063,0.0006,0.00066,0.00072,0.00084,0.00078,0.00066,0.00054,0.00048;
            0.00042,0.00045,0.00051,0.00057,0.0006,0.00066,0.00069,0.00072,0.00078,0.00084,0.00087,0.0009,0.00084,0.00078,0.00072,0.00063,0.0006,0.00066,0.00072,0.00084,0.00078,0.00066,0.00054,0.00048;
            0.00042,0.00045,0.00051,0.00057,0.0006,0.00066,0.00069,0.00072,0.00078,0.00084,0.00087,0.0009,0.00084,0.00078,0.00072,0.00063,0.0006,0.00066,0.00072,0.00084,0.00078,0.00066,0.00054,0.00048;
            0.00196,0.0021,0.00238,0.00266,0.0028,0.00308,0.00322,0.00336,0.00364,0.00392,0.00406,0.0042,0.00392,0.00364,0.00336,0.00294,0.0028,0.00308,0.00336,0.00392,0.00364,0.00308,0.00252,0.00224;
            0.00196,0.0021,0.00238,0.00266,0.0028,0.00308,0.00322,0.00336,0.00364,0.00392,0.00406,0.0042,0.00392,0.00364,0.00336,0.00294,0.0028,0.00308,0.00336,0.00392,0.00364,0.00308,0.00252,0.00224;
            0.00028,0.0003,0.00034,0.00038,0.0004,0.00044,0.00046,0.00048,0.00052,0.00056,0.00058,0.0006,0.00056,0.00052,0.00048,0.00042,0.0004,0.00044,0.00048,0.00056,0.00052,0.00044,0.00036,0.00032;
            0.00028,0.0003,0.00034,0.00038,0.0004,0.00044,0.00046,0.00048,0.00052,0.00056,0.00058,0.0006,0.00056,0.00052,0.00048,0.00042,0.0004,0.00044,0.00048,0.00056,0.00052,0.00044,0.00036,0.00032;
            0.00028,0.0003,0.00034,0.00038,0.0004,0.00044,0.00046,0.00048,0.00052,0.00056,0.00058,0.0006,0.00056,0.00052,0.00048,0.00042,0.0004,0.00044,0.00048,0.00056,0.00052,0.00044,0.00036,0.00032;
            0.00056,0.0006,0.00068,0.00076,0.0008,0.00088,0.00092,0.00096,0.00104,0.00112,0.00116,0.0012,0.00112,0.00104,0.00096,0.00084,0.0008,0.00088,0.00096,0.00112,0.00104,0.00088,0.00072,0.00064;
            0.0009333333333,0.001,0.001133333333,0.001266666667,0.001333333333,0.001466666667,0.001533333333,0.0016,0.001733333333,0.001866666667,0.001933333333,0.002,0.001866666667,0.001733333333,0.0016,0.0014,0.001333333333,0.001466666667,0.0016,0.001866666667,0.001733333333,0.001466666667,0.0012,0.001066666667;
            0.0007,0.00075,0.00085,0.00095,0.001,0.0011,0.00115,0.0012,0.0013,0.0014,0.00145,0.0015,0.0014,0.0013,0.0012,0.00105,0.001,0.0011,0.0012,0.0014,0.0013,0.0011,0.0009,0.0008;
            0.00098,0.00105,0.00119,0.00133,0.0014,0.00154,0.00161,0.00168,0.00182,0.00196,0.00203,0.0021,0.00196,0.00182,0.00168,0.00147,0.0014,0.00154,0.00168,0.00196,0.00182,0.00154,0.00126,0.00112;
            0.00028,0.0003,0.00034,0.00038,0.0004,0.00044,0.00046,0.00048,0.00052,0.00056,0.00058,0.0006,0.00056,0.00052,0.00048,0.00042,0.0004,0.00044,0.00048,0.00056,0.00052,0.00044,0.00036,0.00032;
            0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];

mpc.Qload= [0.00028,0.0003,0.00034,0.00038,0.0004,0.00044,0.00046,0.00048,0.00052,0.00056,0.00058,0.0006,0.00056,0.00052,0.00048,0.00042,0.0004,0.00044,0.00048,0.00056,0.00052,0.00044,0.00036,0.00032;
            0.0001866666667,0.0002,0.0002266666667,0.0002533333333,0.0002666666667,0.0002933333333,0.0003066666667,0.00032,0.0003466666667,0.0003733333333,0.0003866666667,0.0004,0.0003733333333,0.0003466666667,0.00032,0.00028,0.0002666666667,0.0002933333333,0.00032,0.0003733333333,0.0003466666667,0.0002933333333,0.00024,0.0002133333333;
            0.0003733333333,0.0004,0.0004533333333,0.0005066666667,0.0005333333333,0.0005866666667,0.0006133333333,0.00064,0.0006933333333,0.0007466666667,0.0007733333333,0.0008,0.0007466666667,0.0006933333333,0.00064,0.00056,0.0005333333333,0.0005866666667,0.00064,0.0007466666667,0.0006933333333,0.0005866666667,0.00048,0.0004266666667;
            0.00014,0.00015,0.00017,0.00019,0.0002,0.00022,0.00023,0.00024,0.00026,0.00028,0.00029,0.0003,0.00028,0.00026,0.00024,0.00021,0.0002,0.00022,0.00024,0.00028,0.00026,0.00022,0.00018,0.00016;
            9.333333333e-05,0.0001,0.0001133333333,0.0001266666667,0.0001333333333,0.0001466666667,0.0001533333333,0.00016,0.0001733333333,0.0001866666667,0.0001933333333,0.0002,0.0001866666667,0.0001733333333,0.00016,0.00014,0.0001333333333,0.0001466666667,0.00016,0.0001866666667,0.0001733333333,0.0001466666667,0.00012,0.0001066666667;
            0.0004666666667,0.0005,0.0005666666667,0.0006333333333,0.0006666666667,0.0007333333333,0.0007666666667,0.0008,0.0008666666667,0.0009333333333,0.0009666666667,0.001,0.0009333333333,0.0008666666667,0.0008,0.0007,0.0006666666667,0.0007333333333,0.0008,0.0009333333333,0.0008666666667,0.0007333333333,0.0006,0.0005333333333;
            0.0004666666667,0.0005,0.0005666666667,0.0006333333333,0.0006666666667,0.0007333333333,0.0007666666667,0.0008,0.0008666666667,0.0009333333333,0.0009666666667,0.001,0.0009333333333,0.0008666666667,0.0008,0.0007,0.0006666666667,0.0007333333333,0.0008,0.0009333333333,0.0008666666667,0.0007333333333,0.0006,0.0005333333333;
            9.333333333e-05,0.0001,0.0001133333333,0.0001266666667,0.0001333333333,0.0001466666667,0.0001533333333,0.00016,0.0001733333333,0.0001866666667,0.0001933333333,0.0002,0.0001866666667,0.0001733333333,0.00016,0.00014,0.0001333333333,0.0001466666667,0.00016,0.0001866666667,0.0001733333333,0.0001466666667,0.00012,0.0001066666667;
            9.333333333e-05,0.0001,0.0001133333333,0.0001266666667,0.0001333333333,0.0001466666667,0.0001533333333,0.00016,0.0001733333333,0.0001866666667,0.0001933333333,0.0002,0.0001866666667,0.0001733333333,0.00016,0.00014,0.0001333333333,0.0001466666667,0.00016,0.0001866666667,0.0001733333333,0.0001466666667,0.00012,0.0001066666667;
            0.00014,0.00015,0.00017,0.00019,0.0002,0.00022,0.00023,0.00024,0.00026,0.00028,0.00029,0.0003,0.00028,0.00026,0.00024,0.00021,0.0002,0.00022,0.00024,0.00028,0.00026,0.00022,0.00018,0.00016;
            0.0001633333333,0.000175,0.0001983333333,0.0002216666667,0.0002333333333,0.0002566666667,0.0002683333333,0.00028,0.0003033333333,0.0003266666667,0.0003383333333,0.00035,0.0003266666667,0.0003033333333,0.00028,0.000245,0.0002333333333,0.0002566666667,0.00028,0.0003266666667,0.0003033333333,0.0002566666667,0.00021,0.0001866666667;
            0.0001633333333,0.000175,0.0001983333333,0.0002216666667,0.0002333333333,0.0002566666667,0.0002683333333,0.00028,0.0003033333333,0.0003266666667,0.0003383333333,0.00035,0.0003266666667,0.0003033333333,0.00028,0.000245,0.0002333333333,0.0002566666667,0.00028,0.0003266666667,0.0003033333333,0.0002566666667,0.00021,0.0001866666667;
            0.0003733333333,0.0004,0.0004533333333,0.0005066666667,0.0005333333333,0.0005866666667,0.0006133333333,0.00064,0.0006933333333,0.0007466666667,0.0007733333333,0.0008,0.0007466666667,0.0006933333333,0.00064,0.00056,0.0005333333333,0.0005866666667,0.00064,0.0007466666667,0.0006933333333,0.0005866666667,0.00048,0.0004266666667;
            4.666666667e-05,5.e-05,5.666666667e-05,6.333333333e-05,6.666666667e-05,7.333333333e-05,7.666666667e-05,8.e-05,8.666666667e-05,9.333333333e-05,9.666666667e-05,0.0001,9.333333333e-05,8.666666667e-05,8.e-05,7.e-05,6.666666667e-05,7.333333333e-05,8.e-05,9.333333333e-05,8.666666667e-05,7.333333333e-05,6.e-05,5.333333333e-05;
            9.333333333e-05,0.0001,0.0001133333333,0.0001266666667,0.0001333333333,0.0001466666667,0.0001533333333,0.00016,0.0001733333333,0.0001866666667,0.0001933333333,0.0002,0.0001866666667,0.0001733333333,0.00016,0.00014,0.0001333333333,0.0001466666667,0.00016,0.0001866666667,0.0001733333333,0.0001466666667,0.00012,0.0001066666667;
            9.333333333e-05,0.0001,0.0001133333333,0.0001266666667,0.0001333333333,0.0001466666667,0.0001533333333,0.00016,0.0001733333333,0.0001866666667,0.0001933333333,0.0002,0.0001866666667,0.0001733333333,0.00016,0.00014,0.0001333333333,0.0001466666667,0.00016,0.0001866666667,0.0001733333333,0.0001466666667,0.00012,0.0001066666667;
            0.0001866666667,0.0002,0.0002266666667,0.0002533333333,0.0002666666667,0.0002933333333,0.0003066666667,0.00032,0.0003466666667,0.0003733333333,0.0003866666667,0.0004,0.0003733333333,0.0003466666667,0.00032,0.00028,0.0002666666667,0.0002933333333,0.00032,0.0003733333333,0.0003466666667,0.0002933333333,0.00024,0.0002133333333;
            0.0001866666667,0.0002,0.0002266666667,0.0002533333333,0.0002666666667,0.0002933333333,0.0003066666667,0.00032,0.0003466666667,0.0003733333333,0.0003866666667,0.0004,0.0003733333333,0.0003466666667,0.00032,0.00028,0.0002666666667,0.0002933333333,0.00032,0.0003733333333,0.0003466666667,0.0002933333333,0.00024,0.0002133333333;
            0.0001866666667,0.0002,0.0002266666667,0.0002533333333,0.0002666666667,0.0002933333333,0.0003066666667,0.00032,0.0003466666667,0.0003733333333,0.0003866666667,0.0004,0.0003733333333,0.0003466666667,0.00032,0.00028,0.0002666666667,0.0002933333333,0.00032,0.0003733333333,0.0003466666667,0.0002933333333,0.00024,0.0002133333333;
            0.0001866666667,0.0002,0.0002266666667,0.0002533333333,0.0002666666667,0.0002933333333,0.0003066666667,0.00032,0.0003466666667,0.0003733333333,0.0003866666667,0.0004,0.0003733333333,0.0003466666667,0.00032,0.00028,0.0002666666667,0.0002933333333,0.00032,0.0003733333333,0.0003466666667,0.0002933333333,0.00024,0.0002133333333;
            0.0001866666667,0.0002,0.0002266666667,0.0002533333333,0.0002666666667,0.0002933333333,0.0003066666667,0.00032,0.0003466666667,0.0003733333333,0.0003866666667,0.0004,0.0003733333333,0.0003466666667,0.00032,0.00028,0.0002666666667,0.0002933333333,0.00032,0.0003733333333,0.0003466666667,0.0002933333333,0.00024,0.0002133333333;
            0.0001866666667,0.0002,0.0002266666667,0.0002533333333,0.0002666666667,0.0002933333333,0.0003066666667,0.00032,0.0003466666667,0.0003733333333,0.0003866666667,0.0004,0.0003733333333,0.0003466666667,0.00032,0.00028,0.0002666666667,0.0002933333333,0.00032,0.0003733333333,0.0003466666667,0.0002933333333,0.00024,0.0002133333333;
            0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];

🎉3 参考文献

部分理论来源于网络,如有侵权请联系删除。

[1]章博,刘晟源,林振智等.高比例新能源下考虑需求侧响应和智能软开关的配电网重构[J].电力系统自动化,2021,45(08):86-94.

[2]张昊立,张菁,倪建辉等.基于改进麻雀算法的配电网故障定位[J].电力科学与工程,2022,38(11):25-33.

[3]郑聪,周海峰,郑东强等.基于改进多元宇宙算法的主动配电网故障定位方法研究[J].电力系统保护与控制,2023,51(02):169-179.DOI:10.19783/j.cnki.pspc.220601.

[4]陈怀毅,胡英坤,杨毅,范舟.二阶锥松弛在配电网最优潮流计算中的应用[J].电气应用,2020,39(01):49-54.

🌈4 Matlab代码实现

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