Stochastic Dual Algorithm for Voltage Regulation in Distribution Networks with Discrete Loads: Preprint
- National Renewable Energy Laboratory (NREL), Golden, CO (United States)
- University of Colorado
This paper considers distribution networks with distributed energy resources and discrete-rate loads, and designs an incentive-based algorithm that allows the network operator and the customers to pursue given operational and economic objectives, while concurrently ensuring that voltages are within prescribed limits. Four major challenges include: (1) the non-convexity from discrete decision variables, (2) the non-convexity due to a Stackelberg game structure, (3) unavailable private information from customers, and (4) different update frequency from two types of devices. In this paper, we first make convex relaxation for discrete variables, then reformulate the non-convex structure into a convex optimization problem together with pricing/reward signal design, and propose a distributed stochastic dual algorithm for solving the reformulated problem while restoring feasible power rates for discrete devices. By doing so, we are able to statistically achieve the solution of the reformulated problem without exposure of any private information from customers. Stability of the proposed schemes is analytically established and numerically corroborated.
- Research Organization:
- National Renewable Energy Lab. (NREL), Golden, CO (United States)
- Sponsoring Organization:
- USDOE Office of Electricity (OE); USDOE Grid Modernization Lab Consortium
- DOE Contract Number:
- AC36-08GO28308
- OSTI ID:
- 1406986
- Report Number(s):
- NREL/CP-5D00-68609
- Resource Relation:
- Conference: Presented at the 8th IEEE International Conference on Smart Grid Communications (SmartGridComm 2017), 23-26 October 2017, Dresden, Germany
- Country of Publication:
- United States
- Language:
- English
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