Transmission Characteristics of Overhead MV/PLC Channels

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1 Transmissin Characteristics f Overhead M/PLC Channels Athanasis G. Lazarpuls and Panaytis G. Cttis Wrkshp n Applicatins fr Pwerline Cmmunicatins, Octber 28

2 Slide 2 Outline Intrductin and Review f t date Research Effrts Single Cnductr ver Lssy Earth MTL Analysis Mathematical Analysis Multicnductr Cnfiguratin Mdal Analysis Derivatin f the Prpagatin Matrix BPL Channel Mdel Numerical Cmputatin, Results and Discussin

3 Slide 3 Intrductin Typical Greek Overhead M cnfiguratin [] Basic Cnfiguratins Undergrund cables Overhead lines Adverse prperties f the verhead M grid when viewed as a cmmunicatins medium

4 Slide 4 Review f t date Research (/2) Single Cnductr ver Lssy Earth A Thin Wire ver Earth Quasi-transverse-electrmagnetic (TEM) mdes Transmissin Characteristics In 926, the earliest slutins, Carsn [2] Assumptins and Restrictins In 956, exact mdal equatins fr very thin verhead wires, Kikuchi [3-4] In 972, exact mdal equatin fr thin wire abve earth, Wait [5-6] In 997, D Amre s slutin [7]

5 Slide 5 Review f t date Research (2/2) MTL Analysis Traveling Waves in MTL Mdes Cmmn Mde (CM) Differential Mdes (DM) Line Cupling Wire-t-Wire (W-T-W) Wire-t-Grund (W-T-G) (Fig.) (Fig.2)

6 Slide 6 Mathematical Analysis (/4) Multicnductr Cnfiguratin i. and I (matrices n ) ii. P (matrix n n) iii. and Y (matrices n n) iv. Secnd-rder differential equatins gverning prpagatin via a cnductr 2 d 2 dz ( Y ) P 2 d I 2 dz t ( Y ) I P I () v. PY

7 Slide 7 Mathematical Analysis (2/4) Mdal Analysis Matrix Line ltages and Currents I (n ) Matrix Mdal ltages m and Currents I m (n ) Prpagatin cnstants γ ( f ) α ( f ) + j β ( f ) i T m m i i (2) when T v and T I matrices f similarity transfrmatin [7-8] γ i, α i, β i and λ i frm P i,,n I T I I (3)

8 Slide 8 Mathematical Analysis (3/4) Mdal Analysis Equatin fr Mdal ltages General Equatin fr Mdal ltages where + + m n m z z m n m z z m n m e e e e n n M L M O M L M L M O M L M γ γ γ γ (4) (5.) () ( ) m m m z F ( ) ( ) T m (5.2)

9 Slide 9 Mathematical Analysis (4/4) Prpagatin Matrix Derivatin Prpagatin Matrix P [7], [9] Internal, External, Grund Impedance Admittance P ( ) ( ) + + Y + Y i e g c g Mde Characteristic Impedance and Admittance Matrices [ ] [ { } ] c Y T e e I diag λ md md K λn I mde mde T, m (6) (7)

10 Slide BPL Channel Mdel (/5) A priri and Deterministic (Mdal) Transfer Functin [-] Mdal Frequency Respnse [2] Reflectin and Transmissin Cefficients Multipath Channel exhibiting Frequency Selectivity Multipath r Ech Mdel (L [3-5] r mdal M [6])

11 Slide BPL Channel Mdel (2/5) SM Methd, Meng [7] (Fig.) in in in2 L b L b tanh tanh tanh tanh ( γl3 ) ( γl ) 3 ( γl2 ) ( γl ) ( in // in2 ) + tanh( γl ) + ( // ) tanh( γl ) in in2 2 (2) (Fig.2) L ( in // in2 ) Γ Γ2 L in // in2 ( ) +

12 Slide 2 BPL Channel Mdel (3/5) S-parameters [8] S in in (8) S (9) E g 2 E g Shifting in the reference planes [9] E g in in + g ( + Γ ) e γ l γ l3 + Γ e ( + Γ ) e γ l 2 γ l + Γ2 e 3 () ()

13 Slide 3 BPL Channel Mdel (4/5) Step : Evaluatin f the scattering matrices f the netwrk mdules S k k,..,n Step 2: Evaluatin f transmissin matrices f the netwrk mdules T k k,..,n Step 3: Evaluatin f the endt-end transmissin matrix T Step 4: Evaluatin f the endt-end transfer functin H(f)S 2 (f)

14 Slide 4 BPL Channel Mdel (5/5) T and S matrices fr the whle netwrk S T S S 2 2 S 2 S22 S2 S S S 2 22 N (2) T (3) S (4) k T k T T T 2 T 22 T2T T T2 T 2

15 Slide 5 Results and Discussin (/5) Three mdes (CM and DM i,i,2) Separate Channels fr each mde Attenuatin Cnstants and Phase Delays Attenuatin cnstant α (db/km) 5 5 Cmmn Mde Differential Mde Differential Mde Frequency (MHz) (Fig.) (Fig.2)

16 Slide 6 Results and Discussin (2/5) M/BPL Tplgies Tplgy : L 5m, L 2 5m, L b m Tplgy 2: L 5m, L 2 2m, L 3 m, L 4 2m, L b 6m, L b2 m, L b3 6m (urban case) Tplgy 3: L 5m, L 2 2m, L 3 m, L 4 2m, L b 3m, L b2 5m, L b3 2m (rural case) Tplgy 4, the same as Tplgy 3 but with n branches ( LOS case)

17 Slide 7 Results and Discussin (3/5) Channel attenuatin (db) Channel attenuatin (db) Channel attenuatin (db) Channel attenuatin (db) Tplgy Tplgy Tplgy Tplgy (Fig.3) Frequency (MHz) Tplgy, 2, 3 and 4 Channel attenuatin (db) Channel attenuatin (db) Channel attenuatin (db) Channel attenuatin (db) Tplgy Tplgy Tplgy Tplgy Frequency (MHz) (Fig.4)

18 Slide 8 (Fig.5) Results and Discussin (4/5) Tplgy 3 and LOS case (Fig.6) Multipath Prpagatin Waste f Usable Bandwidth Number and Behavir f Ntches

19 Slide 9 Results and Discussin (5/5) (Fig.7) (Fig.8) Percentage Wasted Bandwidth

20 Slide 2 References (/3). T. A. Papadpuls, Ch. G. Kaludas and G. K. Papagiannis, A Multipath Channel Mdel fr PLC Systems based n Ndal Methd and Mdal Analysis, in Prc. 27 IEEE Internatinal Cnference n Pwer Line Cmmunicatins and Its Applicatins, ISPLC 7, Pisa, Italy. 2. J. R. Carsn, Wave prpagatin in verhead wires with grund return, Bell Syst. Tech. J., vl. 5, pp , H. Kikuchi, Wave prpagatin alng an infinite wire abve grund at high frequencies, Prc. Electrtech. J., vl. 2, pp , Dec H. Kikuchi, On the transitin frm a grund return circuit t a surface waveguide, in Prc. Int. Cngr. Ultrahigh Frequency Circuits Antennas, Paris, France, Oct. 957, pp J. R. Wait, Thery f wave prpagatin alng a thin wire parallel t an interface, Radi Sci., vl. 7, pp , Jun J. R. Wait and D. A. Hill, Prpagatin alng a braided caxial cable in a circular tunnel, IEEE Trans. Micrw. Thery Tech., vl. 23, pp. 4 45, May M. D Amre and M. S. Sart, A new frmulatin f lssy grund return parameters fr transient analysis f multi-cnductr dissipative lines, IEEE Trans. Pwer Del., vl. 2, n., pp , Jan. 997.

21 Slide 2 References (2/3) 8. R. P. Claytn, Analysis f Multi-Cnductr Transmissin Lines. New Yrk: Wiley, P. Amirshahi and M. Kavehrad, High-Frequency Characteristics f Overhead Multicnductr Pwer Lines fr Bradband Cmmunicatins, IEEE Selected Areas in Cmmunicatins, vl. 24, issue 7, pp , Jul S. Galli, T. Banwell, "A Nvel Apprach t the Mdeling f the Indr Pwer Line Channel - Part II: Transfer Functin and Its Prperties," IEEE Transactins n Pwer Delivery, vl. 2, n. 3, July 25.. T. Banwell, S. Galli, "A Nvel Apprach t the Mdeling f the Indr Pwer Line Channel - Part I: Circuit Analysis and Cmpanin Mdel," IEEE Transactins n Pwer Delivery, vl. 2, n. 2, Apr D. K. Cheng, Fundamentals f Engineering Electrmagnetic. New Yrk: Addisn-Wesley, H. Philipps, Mdeling f pwerline cmmunicatin channels, in Prc. Int. Symp. Pwer Line Cmmun. Appl., 2, pp H. Philipps, Develpment f a statistical mdel fr pwer-line cmmunicatin channels, in Prc. Int. Symp. Pwer Line Cmmun. Appl., 2, pp M. immerman and K. Dstert, A multipath mdel fr the pwerline channel, IEEE Trans. Cmmun., vl. 5, n. 4, pp , Apr. 22.

22 Slide 22 References (3/3) 6. P. Amirshahi and M. Kavehrad, Transmissin channel mdel and capacity f verhead multi-cnductr medium-vltage pwer-lines fr bradband cmmunicatins, in Prc. CCNC, Las egas, N, Jan. 25, pp Meng H., Chen S., Guan Y.L., Law C.L., S P.L., Gunawan E., Lie T.T, Mdeling f transfer Characteristics fr the bradband pwer line cmmunicatin channel, Pwer Delivery, IEEE Transactins n Publicatin, July 24, lume 9, Issue 3, pages G. Gnzalez, Micrwave Transistr Amplifiers. Englewd Cliffs, NJ: Prentice- Hall, D. M. Pzar, Micrwave Engineering. New Yrk: Wiley.

23 Slide 23 Transmissin Characteristics f Overhead M/PLC Channels Athanasis G. Lazarpuls and Panaytis G. Cttis thlazar@mail.ntua.gr Wrkshp n Applicatins fr Pwerline Cmmunicatins, Octber 28

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