Approximative formulae for the amplitude of the membrane displacement and the acoustic transmission loss of sound are expressed as well as the resonant frequencies of the uniform mode and flexural vibration modes.
The sum of microgrid total costs and PHEVs charging cost in the first mode is expressed as C_{Dc1}^{M} = C_{Dc0}^{M} + sumlimits_{k = 1}^{S} {sumlimits_{t = 1}^{24} {P_{1k,t}^{text{PHEV}} } } B_{t}^{text{Grid}} (9 where ( P_{1k,t}^{text{PHEV}} ) is charging power of k th PHEV at hour t in the first mode; S is the number of PHEVs.
By contrast, by evaluating the outage probability, P out, at a fixed source transmission rate, i.e. (R_{S_{0}}) (bits/s/Hz), throughput in the delay-sensitive mode is expressed as tau = left({1 - alpha} right)R_{S_{0}}left({1 - {P_{text{out}}}} right).
The three charging modes are expressed as follows.
The mode shapes are expressed as infinite polynomial series.
Puck's damage criterion for compression damage mode can be expressed as Eq. (2.14).
Thus, the operating mode can be expressed as {begin{aligned} Warm_{Operational}~=~ texttt{VM1_{ON}=1~AND~OPVM2_{ON}=1}) end{aligned}} (9).
Thus, the operating mode can be expressed as Cold_{Operational}~=~ texttt{VM1_{ON}=1~OR~VM2_{ON}=1}) (8) Fig. 4 SPN for cold-standby.
The AHP method uses an additive aggregation with normalization of the sum of the local priorities, which is referred to as distributive mode and is expressed as: P_{i} = mathop sum limits_{i} w_{j} * p_{ij}where P i is the global priority of alternative i, p ij is the alternative's local priority with regard to criterion j, and w j is the criterion j with regard to the goal.
EMD algorithm, proposed by Huang et al. in 1998 [ 9], can decompose the original signal into different intrinsic mode functions (IMFs), expressed as follows: (1) X t = ∑ i = 1 n C i t + r n t, where X t) is the original signal in time domain, C i (t) is the IMF, and r n (t) is the residue.
