A Passivity-Based Globally Stabilizing PI Controller for ......Aranya Chakraborty Iqbal Husain. I....
Transcript of A Passivity-Based Globally Stabilizing PI Controller for ......Aranya Chakraborty Iqbal Husain. I....
![Page 1: A Passivity-Based Globally Stabilizing PI Controller for ......Aranya Chakraborty Iqbal Husain. I. Goals A design of a PI controller for SST-driven distribution microgrids in a radial](https://reader034.fdocuments.in/reader034/viewer/2022052008/601d12b43fa43352212bd455/html5/thumbnails/1.jpg)
A Passivity-Based Globally Stabilizing PI Controller for Primary Control of Radial Power Distribution Systems
1
Alireza A. MilaniRafael Cisneros
Aranya ChakrabortyIqbal Husain
![Page 2: A Passivity-Based Globally Stabilizing PI Controller for ......Aranya Chakraborty Iqbal Husain. I. Goals A design of a PI controller for SST-driven distribution microgrids in a radial](https://reader034.fdocuments.in/reader034/viewer/2022052008/601d12b43fa43352212bd455/html5/thumbnails/2.jpg)
I. Goals
✔ A design of a PI controller for SST-driven distribution microgrids in a radial distribution network such that, for any choice of load, each distribution grid can globally:
▪ Regulate its Low and High DC bus voltages.▪ Perform Volt-VAR and volt-Watt Power control.
✔ The proposed controller admits different communication topologies when implemented: fully decentralized, sparsely distributed and all-to-all connected topologies.
✔ The results are validated using a networked microgrid model.
2
![Page 3: A Passivity-Based Globally Stabilizing PI Controller for ......Aranya Chakraborty Iqbal Husain. I. Goals A design of a PI controller for SST-driven distribution microgrids in a radial](https://reader034.fdocuments.in/reader034/viewer/2022052008/601d12b43fa43352212bd455/html5/thumbnails/3.jpg)
II. System & Model
3
Power Distribution System
![Page 4: A Passivity-Based Globally Stabilizing PI Controller for ......Aranya Chakraborty Iqbal Husain. I. Goals A design of a PI controller for SST-driven distribution microgrids in a radial](https://reader034.fdocuments.in/reader034/viewer/2022052008/601d12b43fa43352212bd455/html5/thumbnails/4.jpg)
4
ith SST-Driven microgrid
Filter
DESD
LVDC HVDC
Considerations
[1] E. Ehsani, I. Husain and M. O. Bilgic, Power converters as natural gyrators, IEEE Trans. On Circuits Syst. I Fundam. Theory Appl., vol. 40, no. 12, pp. 946-949, 1993
![Page 5: A Passivity-Based Globally Stabilizing PI Controller for ......Aranya Chakraborty Iqbal Husain. I. Goals A design of a PI controller for SST-driven distribution microgrids in a radial](https://reader034.fdocuments.in/reader034/viewer/2022052008/601d12b43fa43352212bd455/html5/thumbnails/5.jpg)
5
Line voltajes are:
ith-microgrid model equations:
![Page 6: A Passivity-Based Globally Stabilizing PI Controller for ......Aranya Chakraborty Iqbal Husain. I. Goals A design of a PI controller for SST-driven distribution microgrids in a radial](https://reader034.fdocuments.in/reader034/viewer/2022052008/601d12b43fa43352212bd455/html5/thumbnails/6.jpg)
6
The n-microgrid distribution system:
where:
![Page 7: A Passivity-Based Globally Stabilizing PI Controller for ......Aranya Chakraborty Iqbal Husain. I. Goals A design of a PI controller for SST-driven distribution microgrids in a radial](https://reader034.fdocuments.in/reader034/viewer/2022052008/601d12b43fa43352212bd455/html5/thumbnails/7.jpg)
III. System Control
Control Objectives
![Page 8: A Passivity-Based Globally Stabilizing PI Controller for ......Aranya Chakraborty Iqbal Husain. I. Goals A design of a PI controller for SST-driven distribution microgrids in a radial](https://reader034.fdocuments.in/reader034/viewer/2022052008/601d12b43fa43352212bd455/html5/thumbnails/8.jpg)
8
“Standard” PI Control*
*[2] D. G. Shah and M. L. Crow, Stability Assessment Extensions for single-Phase Distribution Solid-State Transformers, IEEE Trans. On Power Delivery., vol. 30, no. 3, 2015
LVDC control
![Page 9: A Passivity-Based Globally Stabilizing PI Controller for ......Aranya Chakraborty Iqbal Husain. I. Goals A design of a PI controller for SST-driven distribution microgrids in a radial](https://reader034.fdocuments.in/reader034/viewer/2022052008/601d12b43fa43352212bd455/html5/thumbnails/9.jpg)
▪ The plot contains two closed-loop system eigenvalues for two PI gains sets (red and blue).
▪ For the red set the eigenvalues stay in the LHP for the load variation. However, they approach to the RHP.
▪ For the blue set the eigenvalues migrate to the RHP as load increases: necessity of retuning the gains!
![Page 10: A Passivity-Based Globally Stabilizing PI Controller for ......Aranya Chakraborty Iqbal Husain. I. Goals A design of a PI controller for SST-driven distribution microgrids in a radial](https://reader034.fdocuments.in/reader034/viewer/2022052008/601d12b43fa43352212bd455/html5/thumbnails/10.jpg)
The Proposed PI controller
▪ It does not need to retune gains for load variations.
▪ Conditions on the PI gains guaranteeing global stability in the model are given.
▪ It admits different communication topologies.
▪ Its derivation relies on passivity theory and Lyapunov’s stability theorems.
![Page 11: A Passivity-Based Globally Stabilizing PI Controller for ......Aranya Chakraborty Iqbal Husain. I. Goals A design of a PI controller for SST-driven distribution microgrids in a radial](https://reader034.fdocuments.in/reader034/viewer/2022052008/601d12b43fa43352212bd455/html5/thumbnails/11.jpg)
Incremental PassivityThe aforementioned n-microgrid distribution system with output:
Satisfies the inequality
where , are the steady-state closed-loop values for the state and control input. Also, is the storage function
and
,
![Page 12: A Passivity-Based Globally Stabilizing PI Controller for ......Aranya Chakraborty Iqbal Husain. I. Goals A design of a PI controller for SST-driven distribution microgrids in a radial](https://reader034.fdocuments.in/reader034/viewer/2022052008/601d12b43fa43352212bd455/html5/thumbnails/12.jpg)
What does it mean?...
![Page 13: A Passivity-Based Globally Stabilizing PI Controller for ......Aranya Chakraborty Iqbal Husain. I. Goals A design of a PI controller for SST-driven distribution microgrids in a radial](https://reader034.fdocuments.in/reader034/viewer/2022052008/601d12b43fa43352212bd455/html5/thumbnails/13.jpg)
PI controller
Proof sketch: We consider the Lyapunov Function candidate:
where . From the time derivative and LaSalle Invariance principle, the claim is proved.
![Page 14: A Passivity-Based Globally Stabilizing PI Controller for ......Aranya Chakraborty Iqbal Husain. I. Goals A design of a PI controller for SST-driven distribution microgrids in a radial](https://reader034.fdocuments.in/reader034/viewer/2022052008/601d12b43fa43352212bd455/html5/thumbnails/14.jpg)
Communication Topologies
![Page 15: A Passivity-Based Globally Stabilizing PI Controller for ......Aranya Chakraborty Iqbal Husain. I. Goals A design of a PI controller for SST-driven distribution microgrids in a radial](https://reader034.fdocuments.in/reader034/viewer/2022052008/601d12b43fa43352212bd455/html5/thumbnails/15.jpg)
Three Different Topologies
b. Descentralized
a. Centralized
c. Sparse
![Page 16: A Passivity-Based Globally Stabilizing PI Controller for ......Aranya Chakraborty Iqbal Husain. I. Goals A design of a PI controller for SST-driven distribution microgrids in a radial](https://reader034.fdocuments.in/reader034/viewer/2022052008/601d12b43fa43352212bd455/html5/thumbnails/16.jpg)
![Page 17: A Passivity-Based Globally Stabilizing PI Controller for ......Aranya Chakraborty Iqbal Husain. I. Goals A design of a PI controller for SST-driven distribution microgrids in a radial](https://reader034.fdocuments.in/reader034/viewer/2022052008/601d12b43fa43352212bd455/html5/thumbnails/17.jpg)
▪ Implementation
![Page 18: A Passivity-Based Globally Stabilizing PI Controller for ......Aranya Chakraborty Iqbal Husain. I. Goals A design of a PI controller for SST-driven distribution microgrids in a radial](https://reader034.fdocuments.in/reader034/viewer/2022052008/601d12b43fa43352212bd455/html5/thumbnails/18.jpg)
Simulation Results: Three SST-driven microgrid system
![Page 19: A Passivity-Based Globally Stabilizing PI Controller for ......Aranya Chakraborty Iqbal Husain. I. Goals A design of a PI controller for SST-driven distribution microgrids in a radial](https://reader034.fdocuments.in/reader034/viewer/2022052008/601d12b43fa43352212bd455/html5/thumbnails/19.jpg)
Simulation Results: Three SST-driven microgrid system
PQ regulation
SST1
SST2
SST3
![Page 20: A Passivity-Based Globally Stabilizing PI Controller for ......Aranya Chakraborty Iqbal Husain. I. Goals A design of a PI controller for SST-driven distribution microgrids in a radial](https://reader034.fdocuments.in/reader034/viewer/2022052008/601d12b43fa43352212bd455/html5/thumbnails/20.jpg)
Centralized vs Descentralized controller
✔ In this simulation, centralized topology makes the inverter control input signal of SST2 stay within the non-saturated region.
SST2
![Page 21: A Passivity-Based Globally Stabilizing PI Controller for ......Aranya Chakraborty Iqbal Husain. I. Goals A design of a PI controller for SST-driven distribution microgrids in a radial](https://reader034.fdocuments.in/reader034/viewer/2022052008/601d12b43fa43352212bd455/html5/thumbnails/21.jpg)
“Conventional” PI vs Proposed PI in a single SST-system
LVDC regulation
![Page 22: A Passivity-Based Globally Stabilizing PI Controller for ......Aranya Chakraborty Iqbal Husain. I. Goals A design of a PI controller for SST-driven distribution microgrids in a radial](https://reader034.fdocuments.in/reader034/viewer/2022052008/601d12b43fa43352212bd455/html5/thumbnails/22.jpg)
THANK YOU