Patent Document ID: 9026411
Application ID: 13543822
Patent Flag: 1

Claim One:
1. A method for availability evaluation of microgrid systems with an energy storage device, comprising: applying a Markov chain model to model charging and discharging processes in the energy storage device; determining a transition probability matrix in the Markov chain model as: P = [ k 11 p 1 p 2 … p - 1 0 p 1 ⁢ ⁢ … p - 2 p - 1 … … … … … … p - 1 0 p 1 p - 2 p - 1 k nn ] N × N where: p1 is a probability of transition between consecutive states going from lower to higher states; p−1 is a probability of transition between consecutive states going from higher to lower states; p2 is a probability of transition between alternate states going from lower to higher states; p−2 is a probability of transition between alternate states going from higher to lower states; k nn is the probability of maintaining the nth state; N is the number of states; P is a matrix that contains these probabilities to determine absolute probability of occurrence of each state; determining an effect of the energy storage device connected to a microgrid with multiple energy sources and loads; and determining effect of system architectures on the availability of microgrids using minimum cut sets (MCS).