Dear All,

I attached a simple 6 bus network in the above. It is a very well known test 
network in the realm of reliability studies.

I would like to know why when I increase the load and generation up to a 
certain point, the DCOPF sometimes converges , sometimes do not.
Take for example, generation and load increase by 1.9 times do not converge. 
However, increment by 2.3 times converges. In both cases, the network is under 
perfect conditions.

Why is this case?


A simple testing algorithm:

Yours sincerely,

Jiashen Teh
PhD Student
Electrical Energy & Power Systems Group, School of Electrical & Electronic 
Engineering
Ferranti Building (B18), The University of Manchester, M13 9PL, United Kingdom
Tel: +44 (0) 161 306 2263; Mobile: +44 (0) 792 322 4864

Attachment: SixBus.m
Description: SixBus.m

opt = mpoption('VERBOSE',0,'OUT_ALL',0);
count  = 1; a = [1;1.1;1.3;1.5;1.7;1.9;2.1;2.3;2.5;2.7];
for increment = 1:length(a)
    mpc = loadcase('SixBus');
    mpc.gen(1:2,9)  = mpc.gen(1:2,9)*a(increment);
    mpc.gen(3:7,10) = mpc.gen(3:7,10)*a(increment);
    result = rundcopf(mpc);
    recordConvergence(count,1) = result.success;
    recordWindFarmGen(count,1) = result.gen(1,9)-result.gen(1,2); 
    recordLoadloss(count,1) = 
sum(abs(result.gen(3:7,10))-abs(result.gen(3:7,2))); 
    count = count + 1;
end

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