Reliability is a fundamental requirement of wide-area backup protection
(WABP) systems, and it is one of the most crucial performance indicators
for such a WABP system. Two definitions are introduced: the reliability
of WABP systems and the undetectable probability of a power line. They
are determined by the specific placement of communication links (CLs)
and phasor measurement units (PMUs). A simultaneous optimization model
is formulated to minimize the construction cost of WABP systems by
optimizing the partitioning and placement of PMUs, protection centers
(PCs), and CLs. The model takes into account several constraints,
including latency, regional balance, and system reliability. To reduce
computational complexity, a cluster-based genetic algorithm is developed
to determine the optimal solution. Finally, numerical simulations are
conducted using IEEE test cases. Results demonstrate that the proposed
method can minimize the construction costs of WABP systems while
increasing their reliability.