配電網(wǎng)諧波潮流算例簡析概述目錄TOC\o"1-3"\h\u25082配電網(wǎng)諧波潮流算例簡析概述 1200161.1引言 137081.2配電網(wǎng)諧波潮流簡析 1203551.2.1節(jié)點信息系統(tǒng) 152761.2.2節(jié)點仿真模型與結(jié)果分析 21.1引言在本章中，對廣義Tellegen定理與電流準(zhǔn)入型牛頓法進行Simulink仿真驗真，通過對廣義Tellegen定理和電流注入型牛頓法進行對比分析，發(fā)現(xiàn)其各有優(yōu)缺點，最終推導(dǎo)出兩種方法結(jié)合的研究方法，驗證了此方法的精確性和可行性。1.2配電網(wǎng)諧波潮流簡析1.2.1節(jié)點信息系統(tǒng)在所使用的系統(tǒng)中，三相配電網(wǎng)的所有輸電線路，在計算中被減少為單相輸電線路，原來的變壓器在計算中被減少為單線，即所有節(jié)點在計算中處于同一電壓水平，但原來的電壓調(diào)節(jié)器被刪除。本文介紹的計算實例是基于配電系統(tǒng)，在，節(jié)點上分別引入分布式電源，以計算配電網(wǎng)絡(luò)中的諧波電流。圖1.1顯示了具有分布式電源的配電網(wǎng)絡(luò)模型:圖1.1含分布式電源配電網(wǎng)仿真模型Fig.1.1Simulationmodelwithdistributedpowerdistributionnetwork系統(tǒng)頻率為，配電網(wǎng)模型的基本容量為，每個節(jié)點都應(yīng)用了恒定功率模型。對于潮流計算，節(jié)點為平衡節(jié)點，系統(tǒng)參考電壓為。平衡節(jié)點設(shè)置為，即。其他節(jié)點設(shè)置為，即，都是節(jié)點。1.2.2節(jié)點仿真模型與結(jié)果分析本文分成兩種情況對分布式電源的配電網(wǎng)諧波潮流計算，結(jié)果進行分析：對于節(jié)點與節(jié)點上接入分布式電源，采用電流注入型牛頓法進行求解，用改進牛頓法對節(jié)點，諧波潮流簡析；（2）對于節(jié)點與節(jié)點上接入分布式電源，采用電流注入型牛頓法，結(jié)合廣義的Tellegen定理求解配電網(wǎng)的諧波潮流。采用牛頓法對配電網(wǎng)系統(tǒng)，進行基波潮流計算，得出結(jié)論，表所示：表1.1系統(tǒng)電壓相角功率表Tab.1.1Systemvoltagephaseanglepowertable節(jié)點編號電壓相角有功功率無功功率81.090000.000010.356700.1375891.087540.038760.000000.05689101.086700.055760.347680.26875111.071140.489780.648680.00000121.071140.479080.134350.13675131.053281.154890.546850.45687141.041271.369870.245790.13468151.026540.678840.326590.42757161.029870.687540.000000.00000171.026540.686490.000000.00000181.019850.756790.316890.01346191.020860.648690.000000.34587201.018950.876750.136450.13445211.016590.756780.024500.16487第一種算法研究，采用改進牛頓法，進行基波潮流計算，加入分布式電源的配電網(wǎng)，諧波電流的參數(shù)被加總，根據(jù)傅里葉分解，確定基于功率轉(zhuǎn)換器的輸出電流，本文根據(jù)分解的結(jié)果，重點討論次、次、次和次諧波的影響。根據(jù)含分布式電源的潮流計算可以得出的基波電壓及有功無功情況，計算得到分布式電源的接入點處的基波電流幅值有以下的數(shù)據(jù)：：點，：節(jié)點表1.2諧波次數(shù)與注入量Tab.1.2Numberofharmonicsandinjectionvolume諧波次數(shù)5次7次11次13次注入量31.00%16.32%11.12%7.86%第二種算法研究，采用基于廣義定理的諧波算法計算，對使用節(jié)點的5次諧波進行了第二次研究，進行分析比較，表所示。表1.7廣義Tellegen定理的次諧波電壓結(jié)果Tab.1.75thharmonicvoltageresultsfromthegeneralizedTellegentheorem節(jié)點編號5次諧波電壓值節(jié)點編號5次諧波電壓值10.0004054170.0090456720.0006537180.0088358530.0013058190.0063068640.0030168200.0127804350.0018087210.0078642660.0030086220.0130861470.0032065230.0087953980.0037103240.0127021390.0041784250.01351842100.0038801260.01048673110.0057232270.01379545120.0034842280.01163639130.0058741290.00980782140.0045837300.01367492150.0022841310.01147621160.0064868320.00758317廣義的Tellegen定理，配電系統(tǒng)的次、次和次諧波的結(jié)果，以及每個節(jié)點次，次，次和次諧波的結(jié)果也被用來確定節(jié)點的電壓值，并直接計算所有節(jié)點的電壓畸變系數(shù)。表1.8顯示了廣義Tellegen定理計算出諧波次，諧波次，諧波次，節(jié)點的諧波電壓值。表1.8各次諧波電壓值結(jié)果Tab.1.8Resultsforeachharmonicvoltagevalue節(jié)點基波電壓值7次諧波電壓值11次諧波電壓值13次諧波電壓值11.09856000000.00058472000.00050729000.000508810021.09778000000.00080542000.00058400000.000606290031.08346000000.00188573000.00154927000.001654621041.08186000000.00130640300.00081953000.0009885710（續(xù)表1.8）節(jié)點基波電壓值7次諧波電壓值11次諧波電壓值13次諧波電壓值51.06639200000.00238470000.00174971000.001769920061.04872000000.00229400000.00225942100.002189270071.03347000000.00338592000.00257839200.002697890081.03289000000.00340883000.00308521400.003928752091.03375000000.00438570000.00305839100.0032792700101.02863000000.00484592100.00423819800.0050178100111.03279000000.00338591000.00255295300.0026815790121.02682000000.00583859100.00465321900.0047587510131.02659000000.00454482100.00365924000.0041682600141.03274900000.00204839000.00137692000.0014285500151.01759000000.00578392000.00528759200.0054792790161.01768000000.00804729100.00732973900.0070578270171.00259000000.00848390000.00753947200.0082857970181.01834000000.00577492100.00527492200.0054927890191.00221000000.01195831900.01134921000.0092680030201.00187900000.00854932000.00842490300.0087257900211.00028600000.01183194100.01176391000.0124742600221.00167500000.00815930000.00748391000.0085280200230.99903800000.01138210000.00963968000.0106829879241.02082700000.01214829100.01075948900.0116492970250.99879200000.01017592100.00826495000.0093782700260.99880000000.01082859100.00768492000.0097287200270.99899000000.01303869200.00952879600.0021878570280.99754000000.00948692100.00763292900.0083815400290.99839000000.01148937100.00882579000.0105387900300.99834000000.01168119300.00869710900.0098367580311.09849300000.00077649000.00054872000.0005579200320.99740000000.00687196100.00656937200.0053472800331.01483000000.01262961800.01067927200.0105797200依據(jù)節(jié)點，總失真率改進牛頓法法與廣義Tellegen定理進行比較分析后得到如下結(jié)果。表1.9IEEE33節(jié)點改進牛頓法與廣義Tellegen定理的THD比較分析Tab.1.9ComparativeanalysisofTHDbetweenIEEE33-nodeimprovedNewton'smethodandgeneralizedTellegen'stheorem節(jié)點號改進牛頓法廣義Tellegen定理諧波潮流算法13.5287%3.6293%23.5298%3.8920%34.1978%4.3989%44.2248%4.5927%53.5892%4.2975%63.8262%4.1578%73.1872%4.1974%83.2817%3.1857%93.4174%3.5297%103.5287%3.7927%113.7204%3.3872%123.7209%4.1878%134.1579%3.2865%144.1827%4.1753%154.1587%3.8252%164.1587%4.1897%174.1975%4.1594%183.1594%3.1587%193.8272%4.2574%203.5278%4.1578%213.8529%4.1957%223.2784%4.2578%234.1547%3.1597%244.3987%4.3975%253.4827%3.5729%263.5287%3.4897%274.1957%4.1875%283.8247%3.8264%294.1972%4.1897%304.0185%4.0285%314.1857%4.1578%323.8247%3.8257%333.8246%4.1942%如表1.9所示，只要系統(tǒng)的收斂精度相同，并且都在合理的預(yù)期范圍內(nèi)，用廣義Tellegen定理和改進的牛頓方法得到的諧波流的結(jié)果非常相似。從表1.8可以看出，用廣義Tellegen定理得到的結(jié)果也在可接受的范圍內(nèi)，證明了廣義Tellegen定理的諧波潮算法的可靠性。表1.10顯示了基于廣義Tellegen定理，改進的牛頓法計算諧波增益算法的收斂性和迭代時間。表1.10基于廣義Tellegen定理和改進的牛頓法諧波值對比Tab.1.10ComparisonofharmonicvaluesbasedonthegeneralizedTellegen'stheoremandtheimprovedNewton'smethod測試系統(tǒng)節(jié)點基于廣義Tellegen定理改進的牛頓法迭代時間t/s迭代次數(shù)k/次迭代時間t/s迭代次數(shù)k/s14節(jié)點1.76972.27681