Stochastic methods for analysis of power flow in electric networks
Abstract
The modeling and effects of probabilistic behavior on steady state power system operation were analyzed. A solution to the steady state network flow equations which adhere both to Kirchoff's Laws and probabilistic laws, using either combinatorial or functional approximation techniques was obtained. The development of sound techniques for producing meaningful data to serve as input is examined. Electric demand modeling, equipment failure analysis, and algorithm development are investigated. Two major development areas are described: a decomposition of stochastic processes which gives stationarity, ergodicity, and even normality; and a powerful surrogate probability approach using proportions of time which allows the calculation of joint events from one dimensional probability spaces.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 September 1982
 Bibcode:
 1982STIN...8316653.
 Keywords:

 Electric Generators;
 Electric Networks;
 Joining;
 Loading Moments;
 Power Supplies;
 Utilities;
 Demand (Economics);
 Energy Consumption;
 Mathematical Models;
 Systems Analysis;
 Electronics and Electrical Engineering