基于0-1整數(shù)規(guī)劃的PMU優(yōu)化配置研究
發(fā)布時(shí)間：2018-11-26 12:18
【摘要】：隨著電力系統(tǒng)規(guī)模的不斷擴(kuò)大,大電網(wǎng)事故將對(duì)整個(gè)社會(huì)的各個(gè)方面產(chǎn)生極大的影響。因此,就需要對(duì)電力系統(tǒng)進(jìn)行在線實(shí)時(shí)監(jiān)測(cè)。同步相量測(cè)量單元(PMU)技術(shù)的成熟發(fā)展?jié)M足了電力系統(tǒng)實(shí)施監(jiān)測(cè)的需要。然而,PMU的價(jià)格過于昂貴,在全網(wǎng)所有節(jié)點(diǎn)配置PMU雖然能夠?qū)崟r(shí)監(jiān)測(cè)電力系統(tǒng),卻大大增加了電網(wǎng)的一次性投資。所以需要考慮PMU裝置的優(yōu)化布點(diǎn)配置。PMU的最優(yōu)配置要求在全局可觀的前提下所配置的PMU最少。0-1線性整數(shù)規(guī)劃在分析求解多目標(biāo)PMU最優(yōu)配置有極大的優(yōu)勢(shì)。但是實(shí)際電力系統(tǒng)中存在一定數(shù)量的零注入節(jié)點(diǎn)。它的優(yōu)點(diǎn)在于能夠減少PMU配置數(shù)量,但同時(shí)在引入到整數(shù)規(guī)劃進(jìn)行計(jì)算時(shí),將使模型非線性化而難以求解。傳統(tǒng)的方法在解決該非線性約束時(shí)都存在不同程度的問題。本文針對(duì)包含零注入功率節(jié)點(diǎn)的約束進(jìn)行了修正,給出了一個(gè)新的條件函數(shù)不等式方程組,能夠很好解決出現(xiàn)的非線性問題。同時(shí),新條件函數(shù)約束只需要在原鄰接矩陣基礎(chǔ)上進(jìn)行處理,具有較強(qiáng)的可操作性。當(dāng)考慮N-1情況下的PMU最優(yōu)布點(diǎn)時(shí),文章的方法具有很強(qiáng)的繼承能力,有效的解決了傳統(tǒng)方法無法解決的N-1優(yōu)化配置問題。接著,在全局可觀的分階段配置時(shí),文章以降低不可觀測(cè)深度為應(yīng)用目標(biāo)進(jìn)行配置,提出增加虛擬連接的方案來修改拓?fù)浜蜅l件函數(shù),有效的應(yīng)用到了0-1線性整數(shù)規(guī)劃中。在N-1可觀的分階段配置過程中,文章以關(guān)鍵線路可觀為應(yīng)用目標(biāo)進(jìn)行優(yōu)化配置。與傳統(tǒng)文獻(xiàn)利用線路N-1情況下關(guān)鍵線路可觀進(jìn)行配置對(duì)比,文章則是實(shí)現(xiàn)節(jié)點(diǎn)N-1情況下關(guān)鍵線路可觀測(cè)。最后,文章在IEEE14節(jié)點(diǎn)系統(tǒng)以及IEEE39節(jié)點(diǎn)系統(tǒng)中分別進(jìn)行了優(yōu)化配置計(jì)算,所得到的方案對(duì)比于傳統(tǒng)的算法具有很大的優(yōu)勢(shì),在保證優(yōu)化方案結(jié)果正確的前提之下,配置結(jié)果數(shù)量大大降低。
[Abstract]:With the continuous expansion of power system scale, large power grid accidents will have a great impact on all aspects of society. Therefore, it is necessary to monitor the power system in real time. The development of synchronous phasor measurement unit (PMU) technology meets the needs of power system monitoring. However, the price of PMU is too high, and the configuration of PMU in all nodes of the whole network can monitor the power system in real time, but it greatly increases the one-time investment of the power network. Therefore, it is necessary to consider the optimal placement of PMU devices. The optimal configuration of PMU requires the least PMU configuration under the premise of global observability. The 0-1 linear integer programming has great advantages in analyzing and solving the multi-objective PMU optimal configuration. But there are a certain number of zero-injection nodes in the actual power system. Its advantage is that it can reduce the number of PMU configurations, but at the same time, it will make the model nonlinear and difficult to solve when it is introduced into integer programming to calculate. The traditional methods have different degrees of problems in solving the nonlinear constraints. In this paper, the constraints including zero injection power nodes are modified, and a new set of conditional function inequality equations is given, which can solve the nonlinear problems well. At the same time, the constraint of the new conditional function only needs to be treated on the basis of the original adjacent matrix, which has strong maneuverability. When considering the optimal placement of PMU in the case of N-1, the method in this paper has strong inheritance ability and effectively solves the problem of N-1 optimal configuration which can not be solved by traditional methods. Then, in the globally observable phased configuration, this paper proposes a scheme of adding virtual connection to modify topology and condition function, which is applied to 0-1 linear integer programming effectively. In the process of N-1 considerable phased configuration, this paper optimizes the allocation of the critical path observability as the application target. Compared with the traditional literature on the configuration of critical lines in N-1 case, this paper is to realize the observability of critical circuits in the case of node N-1. Finally, the optimal configuration calculation is carried out in IEEE14 node system and IEEE39 node system respectively. Compared with the traditional algorithm, the scheme is superior to the traditional algorithm, under the premise of ensuring the correct result of the optimization scheme. The number of configuration results is greatly reduced.
【學(xué)位授予單位】：天津大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2014
【分類號(hào)】：TM76
[Abstract]:With the continuous expansion of power system scale, large power grid accidents will have a great impact on all aspects of society. Therefore, it is necessary to monitor the power system in real time. The development of synchronous phasor measurement unit (PMU) technology meets the needs of power system monitoring. However, the price of PMU is too high, and the configuration of PMU in all nodes of the whole network can monitor the power system in real time, but it greatly increases the one-time investment of the power network. Therefore, it is necessary to consider the optimal placement of PMU devices. The optimal configuration of PMU requires the least PMU configuration under the premise of global observability. The 0-1 linear integer programming has great advantages in analyzing and solving the multi-objective PMU optimal configuration. But there are a certain number of zero-injection nodes in the actual power system. Its advantage is that it can reduce the number of PMU configurations, but at the same time, it will make the model nonlinear and difficult to solve when it is introduced into integer programming to calculate. The traditional methods have different degrees of problems in solving the nonlinear constraints. In this paper, the constraints including zero injection power nodes are modified, and a new set of conditional function inequality equations is given, which can solve the nonlinear problems well. At the same time, the constraint of the new conditional function only needs to be treated on the basis of the original adjacent matrix, which has strong maneuverability. When considering the optimal placement of PMU in the case of N-1, the method in this paper has strong inheritance ability and effectively solves the problem of N-1 optimal configuration which can not be solved by traditional methods. Then, in the globally observable phased configuration, this paper proposes a scheme of adding virtual connection to modify topology and condition function, which is applied to 0-1 linear integer programming effectively. In the process of N-1 considerable phased configuration, this paper optimizes the allocation of the critical path observability as the application target. Compared with the traditional literature on the configuration of critical lines in N-1 case, this paper is to realize the observability of critical circuits in the case of node N-1. Finally, the optimal configuration calculation is carried out in IEEE14 node system and IEEE39 node system respectively. Compared with the traditional algorithm, the scheme is superior to the traditional algorithm, under the premise of ensuring the correct result of the optimization scheme. The number of configuration results is greatly reduced.
【學(xué)位授予單位】：天津大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2014
【分類號(hào)】：TM76
【參考文獻(xiàn)】
相關(guān)期刊論文 前10條
1 周攀;范旭娟;肖瀟;徐w居，
本文編號(hào)：2358539
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