Saverio Bolognani
Senior Scientist at ETH Zurich
Distributed Smart Energy Systems
IfA Open House - 3 December 2018
New technologies for power generation from renewable energy sources
Ready for 100% renewables?
What is mature?
What is not?
- Microgeneration technology
- Primary source diversification
- Incentives and policies
- Enterprises and investors
- Real-time optimal grid operation
- A technology to interconnect renewable sources
- Stability guarantees
Real-time power flow optimization
Typical grid optimization problem
\displaystyle \min_{v, \theta, p, q}
\sum_i c_i(p_i)
sum of power generation costs
{p_i}^\text{min} \le {p_i} \le
{p_i}^\text{max}
{v_i}^\text{min} \le {v_i} \le
{v_i}^\text{max}
power generation limits
voltage contraints
\sqrt{{p_i}^2 + {q_i}^2} \le {s_i}^\text{max}
thermal generator limits
v_i \sum_j v_i (g_{ij} \cos (\theta_i -\theta_j) + b_{ij} \sin (\theta_i -\theta_j) ) = p_i
v_i \sum_j v_i (g_{ij} \sin (\theta_i -\theta_j) - b_{ij} \cos (\theta_i -\theta_j) ) = q_i
power flow eq's!
A highly nonconvex manifold!
Geometric methods for iterative optimization
Optimization theory
Projected dynamical systems
Voltage stability
Optimization theory
\varphi(u,x) = 0
Power flow equations
power demand
voltages
Unsolvability → Voltage collapse
Online characterization of voltage stability region
Fixed point theory
Low-inertia power systems
Traditional grid:
massive mechanical inertia that automatically compensates for power imbalance
Future grid:
larger power imbalance
less mechanical inertia
fast inverters
Synchronization in a zero-inertia grid:
virtual oscillators
How to synchronize power inverters?
Do we need to emulate synchronous generators?
Emerging limit cycles in nonlinear systems!
Virtual oscillator control
Nonlinear dynamical systems
Mathematical modeling
Experimental testbed
Experimental validation of new microgrid control strategies
Questions?
Nonlinear dynamical systems
Optimization theory
Nonlinear control design
Mathematical modeling
Advanced methods for numerical optimization
Distributed Smart Energy Systems
Distributed Smart Energy Systems
By Saverio Bolognani
Distributed Smart Energy Systems
A short presentation for the IfA Open House
