Digital Simulation of Power Systems and Power Electronics using the MATLAB Power System Blockset 筑龙网

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1 Dgtal Smulaton of Power Sytem and Power Electronc ung the MATAB Power Sytem Blocket

2 Power Sytem Blocket Htory Deeloped by IREQ (HydroQuébec) n cooperaton wth Teqm, Unerté aal (Québec), and École de Technologe Supéreure (Montréal). Veron releaed n March 998 Veron 2 n Beta tetng

3 Preentaton Outlne. Introducton to MATAB/Smulnk 2. The Power Sytem Blocket (PSB) 3. Power Network Applcaton Sere compenated tranmon network ne and tranformer energzaton Electrcal machne n power network Protecton relay 4. Power Electronc Applcaton HVDC tranmon ytem Statc VAR Compenator (STATCOM, DSTATCOM) AC Dre

4 MATAB a computng engne Command Wndow MATAB Interpreter Graphc Wndow

5 Fuzzy ogc Control Sytem Sgnal Proceng Optmzaton Sytem Identfcaton Toolboxe Command Wndow MATAB Interpreter Fgure Wndow Fgure Wndow M Fle MATAB Compler Executable code

6 DSP Blocket Power Sytem Blocket Blocket Fuzzy ogc Control Sytem Sgnal Proceng Optmzaton Sytem Identfcaton Toolboxe Command Wndow Block Dagram Smulnk Graphc Interface MATAB Interpreter Fgure Wndow Fgure Wndow RealTme Workhop M Fle MATAB Compler Executable code Realtme C Code Smulnk brary

7 Smulnk manly ued to model and mulate control ytem (block dagram) Modelng of electrcal ytem n Smulnk not traghtforward Dfferental equaton and tatearable formulaton requred

8 Statearable lnear crcut modelng V I I R V V 2 R 2 2 I 2 C 3 V C3

9 R,, C Element Model C R = C dt 0 = dt = R 0 = R C R R 0 0

10 Statearable lnear crcut modelng V I I R R V V 2 R I 2 R 2 2 C 3 V C3 C

11 Statearable lnear crcut modelng I V C3 V C3 R R C 3 Input R 2 R2 R2 R 2 2 I 2 Output 2 Fle: ex_3tate.mdl

12 Input V Statearable lnear crcut modelng RC 3 2 R 2 2 I I 2 V C3 R C 3 RC 3 C 3 Output 2 R

13 near electrc crcut tatepace model d dt R C C R C RC V C C = d dt x Ax Bu = R R V C = y Cx Du = x y dx dt A B C D u Input Output State

14 n tate p output n tate A B C m nput (n x n) (n x m) (p x n) D (p x m)

15 Smulnk model of a lnear electrc crcut Input State Model [A B C D] Output Fle: ex_3tate_2.mdl

16 What the Power Sytem Blocket? The Power Sytem blocket a degn tool that allow degner to model and mulate power ytem n MATAB/Smulnk enronment. Power Crcut Control Sytem PSB Smulnk Model Smulnk Model Powerlb lbrary

17 Buldng PSB model of a lnear electrc crcut R = 400 Ω = 0 mh V I I R V V 2 R 2 2 I 2 R 2 = 5 Ω C 3 V C3 C 3 = 20 μf 2 = 00 mh

18 PSB Tool for lnear crcut tudy State ntalzaton: automatc (teadytate) manual Dplay of teadytate meaurement Impedance eru frequency meaurement Powergu demo

19 Nonlnear crcut modelng Source V 70.7 V/60 Hz I D Nonlnear ecton V D D 00 mh R C 00 Ω 00 μf near ecton V C

20 Nonlnear ecton A V D K I D Source V 70.7 V/60 Hz I D I D D V AK V AK A I D R 00 kω K 00 mh R C 00 Ω 00 μf V AK near ecton V C

21 Nonlnear ecton A V D K I D Source V 70.7 V/60 Hz I D I D D V AK V AK A I D R 00 kω K 00 mh R C 00 Ω 00 μf V AK near ecton V C

22 d dt I V R C RC I V R V I C C D = 0 0 V I V R I V R V I C A AK C D = State equaton of the crcut

23 Smulnk model of an electrc crcut ncludng lnear and nonlnear part Input I near crcut State model [A B C D] Nonlnear model V Output Fle: cr_nl.mdl Modfy ex2_3tate_.mdl

24 Crcut analy ung the PSB Source D V I D V D R C V C Fle: cr_nl_pb.mdl

25 Varable tme tep ntegraton algorthm accurate zero crong detecton n power electronc mulaton

26 How the PSB work? Draw crcut and control ytem Smulnk lbrary Control block A N A Y S I S Start mulaton Power2y Analyze network topology Get crcut parameter Crc2 Compute StateSpace Model of lnear crcut Compute teadytate and ntal condton Power2y Buld Smulnk Model Intalze nonlnear model Powerlb lbrary Electrc block Powergu Dplay teadytate nformaton Change ntal condton Intalze machne (load flow) Nonlnear model Powerlb_model lbrary Smulnk tart mulaton

27 Eoluton of the PSB PSB Fxed topology PSB 2 Fxed topology Varable topology Varabletep mulaton Varabletep mulaton Varabletep mulaton Fxedtep mulaton Accuracy Accuracy Accuracy Speed

28 Fxed or arable tep mulaton? Smple ytem (< 30 tate and < 6 wtche) Complex ytem Varable tep Accuracy Speed Varable tep Accuracy Speed Fxed tep Accuracy Speed

29 Power Network Applcaton Sere compenated tranmon network ne and tranformer energzaton Electrcal machne n power network Protecton relay Power Electronc Applcaton HVDC tranmon ytem Statc VAR Compenator (STATCOM, DSTATCOM) AC Dre

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(b) i(t) for t 0. (c) υ 1 (t) and υ 2 (t) for t 0. Solution: υ 2 (0 ) = I 0 R 1 = = 10 V. υ 1 (0 ) = 0. (Given).

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