From 3494e5db5d0d16fad4bc91b307a857a76913121b Mon Sep 17 00:00:00 2001 From: madsmpedersen <m@madsp.dk> Date: Thu, 5 Nov 2015 15:06:28 +0100 Subject: [PATCH] fatigue + test --- README.md | 5 +- wetb/fatigue_tools/__init__.py | 0 wetb/fatigue_tools/fatigue.py | 350 +++++++++++++++++++ wetb/fatigue_tools/pair_range.py | 198 +++++++++++ wetb/fatigue_tools/pair_range.pyd | Bin 0 -> 39936 bytes wetb/fatigue_tools/peak_trough.py | 100 ++++++ wetb/fatigue_tools/peak_trough.pyd | Bin 0 -> 37888 bytes wetb/fatigue_tools/rainflowcount_astm.py | 102 ++++++ wetb/fatigue_tools/rainflowcount_astm.pyd | Bin 0 -> 45056 bytes wetb/fatigue_tools/tests/__init__.py | 0 wetb/fatigue_tools/tests/test_fatigue.py | 67 ++++ wetb/fatigue_tools/tests/test_files/test.dat | Bin 0 -> 244000 bytes wetb/fatigue_tools/tests/test_files/test.sel | 114 ++++++ 13 files changed, 934 insertions(+), 2 deletions(-) create mode 100644 wetb/fatigue_tools/__init__.py create mode 100644 wetb/fatigue_tools/fatigue.py create mode 100644 wetb/fatigue_tools/pair_range.py create mode 100644 wetb/fatigue_tools/pair_range.pyd create mode 100644 wetb/fatigue_tools/peak_trough.py create mode 100644 wetb/fatigue_tools/peak_trough.pyd create mode 100644 wetb/fatigue_tools/rainflowcount_astm.py create mode 100644 wetb/fatigue_tools/rainflowcount_astm.pyd create mode 100644 wetb/fatigue_tools/tests/__init__.py create mode 100644 wetb/fatigue_tools/tests/test_fatigue.py create mode 100644 wetb/fatigue_tools/tests/test_files/test.dat create mode 100644 wetb/fatigue_tools/tests/test_files/test.sel diff --git a/README.md b/README.md index 0be201e..7d67789 100644 --- a/README.md +++ b/README.md @@ -10,13 +10,14 @@ - [at_time_file](wetb/hawc2/at_time_file.py): read at output_at_time files - [ascii2bin](wetb/hawc2/ascii2bin): Compress HAWC2 ascii result files to binary - - ### [gtsdf](wetb/gtsdf) General Time Series Data Format, a binary hdf5 data format for storing time series data. - [gtsdf](wetb/gtsdf/gtsdf.py): read/write/append gtsdf files - [unix_time](wetb/gtsdf/unix_time.py): convert between datetime and unix time (seconds since 1/1/1970) +### [fatigue_tools](wetb/fatigue_tools) +- [fatigue](wetb/fatigue_tools/fatigue.py): Rainflow counting, cycle matrix and equvivalent loads + ### [FAST](wetb/fast) Tools for working with NREL's FAST code (An aeroelastic computer-aided engineering (CAE) tool for horizontal axis wind turbines) - [fast_io](wetb/fast/fast_io.py): Read binary and ascii result files diff --git a/wetb/fatigue_tools/__init__.py b/wetb/fatigue_tools/__init__.py new file mode 100644 index 0000000..e69de29 diff --git a/wetb/fatigue_tools/fatigue.py b/wetb/fatigue_tools/fatigue.py new file mode 100644 index 0000000..e0b57e7 --- /dev/null +++ b/wetb/fatigue_tools/fatigue.py @@ -0,0 +1,350 @@ +''' +Created on 04/03/2013 +@author: mmpe +''' + +#try: +# """ +# The cython_import function compiles modules using cython. +# It is found at: https://github.com/madsmpedersen/MMPE/blob/master/cython_compile/cython_compile.py +# """ +# from mmpe.cython_compile.cython_compile import cython_import +#except ImportError: +# cython_import = __import__ +import numpy as np + + +def rfc_hist(sig_rf, nrbins=46): + """ + Histogram of rainflow counted cycles + ==================================== + + hist, bin_edges, bin_avg = rfc_hist(sig, nrbins=46) + + Divide the rainflow counted cycles of a signal into equally spaced bins. + + Created on Wed Feb 16 16:53:18 2011 + @author: David Verelst + Modified 10.10.2011 by Mads M Pedersen to elimintate __copy__ and __eq__ + + Parameters + ---------- + sig_rf : array-like + As output by rfc_astm or rainflow + + nrbins : int, optional + Divide the rainflow counted amplitudes in a number of equally spaced + bins. + + Returns + ------- + hist : array-like + Counted rainflow cycles per bin, has nrbins elements + + bin_edges : array-like + Edges of the bins, has nrbins+1 elements. + + bin_avg : array-like + Average rainflow cycle amplitude per bin, has nrbins elements. + """ + + rf_half = sig_rf + + # the Matlab approach is to divide into 46 bins + bin_edges = np.linspace(0, 1, num=nrbins + 1) * rf_half.max() + hist = np.histogram(rf_half, bins=bin_edges)[0] + # calculate the average per bin + hist_sum = np.histogram(rf_half, weights=rf_half, bins=bin_edges)[0] + # replace zeros with one, to avoid 0/0 + hist_ = hist.copy() + hist_[(hist == 0).nonzero()] = 1.0 + # since the sum is also 0, the avg remains zero for those whos hist is zero + bin_avg = hist_sum / hist_ + + return hist, bin_edges, bin_avg + + +def check_signal(signal): + # check input data validity + if not type(signal).__name__ == 'ndarray': + raise TypeError('signal must be ndarray, not: ' + type(signal).__name__) + + elif len(signal.shape) not in (1, 2): + raise TypeError('signal must be 1D or 2D, not: ' + str(len(signal.shape))) + + if len(signal.shape) == 2: + if signal.shape[1] > 1: + raise TypeError('signal must have one column only, not: ' + str(signal.shape[1])) + if np.min(signal) == np.max(signal): + raise TypeError("Signal contains no variation") + + +def rainflow_windap(signal, levels=255., thresshold=(255 / 50)): + """Windap equivalent rainflow counting + + + Calculate the amplitude and mean values of half cycles in signal + + This algorithms used by this routine is implemented directly as described in + "Recommended Practices for Wind Turbine Testing - 3. Fatigue Loads", 2. edition 1990, Appendix A + + Parameters + ---------- + Signal : array-like + The raw signal + + levels : int, optional + The signal is discretize into this number of levels. + 255 is equivalent to the implementation in Windap + + thresshold : int, optional + Cycles smaller than this thresshold are ignored + 255/50 is equivalent to the implementation in Windap + + Returns + ------- + ampl : array-like + Peak to peak amplitudes of the half cycles + + mean : array-like + Mean values of the half cycles + + + Example + ------- + >>> signal = np.array([-2.0, 0.0, 1.0, 0.0, -3.0, 0.0, 5.0, 0.0, -1.0, 0.0, 3.0, 0.0, -4.0, 0.0, 4.0, 0.0, -2.0]) + >>> ampl, mean = rainflow_windap(signal) + """ + check_signal(signal) + #type <double> is required by <find_extreme> and <rainflow> + signal = signal.astype(np.double) + + offset = np.nanmin(signal) + signal -= offset + if np.nanmax(signal) > 0: + gain = np.nanmax(signal) / levels + signal = signal / gain + signal = np.round(signal).astype(np.int) + + from wetb.fatigue_tools.peak_trough import peak_trough + + + #Convert to list of local minima/maxima where difference > thresshold + sig_ext = peak_trough(signal, thresshold) + + from wetb.fatigue_tools.pair_range import pair_range_amplitude_mean + + #rainflow count + ampl_mean = pair_range_amplitude_mean(sig_ext) + + ampl_mean = np.array(ampl_mean) + ampl_mean = np.round(ampl_mean / thresshold) * gain * thresshold + ampl_mean[:, 1] += offset + return ampl_mean.T + + + +def rainflow_astm(signal): + """Matlab equivalent rainflow counting + + Calculate the amplitude and mean values of half cycles in signal + + This implemementation is based on the c-implementation by Adam Nieslony found at + the MATLAB Central File Exchange http://www.mathworks.com/matlabcentral/fileexchange/3026 + + Parameters + ---------- + Signal : array-like + The raw signal + + Returns + ------- + ampl : array-like + peak to peak amplitudes of the half cycles (note that the matlab implementation + uses peak amplitude instead of peak to peak) + + mean : array-like + Mean values of the half cycles + + + Examples + -------- + >>> signal = np.array([-2.0, 0.0, 1.0, 0.0, -3.0, 0.0, 5.0, 0.0, -1.0, 0.0, 3.0, 0.0, -4.0, 0.0, 4.0, 0.0, -2.0]) + >>> ampl, mean = rainflow_astm(signal) + """ + check_signal(signal) + + # type <double> is reuqired by <find_extreme> and <rainflow> + signal = signal.astype(np.double) + + # Import find extremes and rainflow. + # If possible the module is compiled using cython otherwise the python implementation is used + #cython_import('fatigue_tools.rainflowcount_astm') + from wetb.fatigue_tools.rainflowcount_astm import find_extremes, rainflowcount + + # Remove points which is not local minimum/maximum + sig_ext = find_extremes(signal) + + # rainflow count + ampl_mean = np.array(rainflowcount(sig_ext)) + + return np.array(ampl_mean).T + + +def eq_load(signals, no_bins=46, m=[3, 4, 6, 8, 10, 12], neq=1, rainflow_func=rainflow_windap): + """Equivalent load calculation + + Calculate the equivalent loads for a list of Wohler exponent and number of equivalent loads + + Parameters + ---------- + signals : list of tuples or array_like + - if list of tuples: list must have format [(sig1_weight, sig1),(sig2_weight, sig1),...] where\n + - sigx_weight is the weight of signal x\n + - sigx is signal x\n + - if array_like: The signal + no_bins : int, optional + Number of bins in rainflow count histogram + m : int, float or array-like, optional + Wohler exponent (default is [3, 4, 6, 8, 10, 12]) + neq : int, float or array-like, optional + The equivalent number of load cycles (default is 1, but normally the time duration in seconds is used) + rainflow_func : {rainflow_windap, rainflow_astm}, optional + The rainflow counting function to use (default is rainflow_windap) + + Returns + ------- + eq_loads : array-like + List of lists of equivalent loads for the corresponding equivalent number(s) and Wohler exponents + + Examples + -------- + >>> signal = np.array([-2.0, 0.0, 1.0, 0.0, -3.0, 0.0, 5.0, 0.0, -1.0, 0.0, 3.0, 0.0, -4.0, 0.0, 4.0, 0.0, -2.0]) + >>> eq_load(signal, no_bins=50, neq=[1, 17], m=[3, 4, 6], rainflow_func=rainflow_windap) + [[10.311095426959747, 9.5942535021382174, 9.0789213365013932], # neq = 1, m=[3,4,6] + [4.010099657859783, 4.7249689509841746, 5.6618639965313005]], # neq = 17, m=[3,4,6] + + eq_load([(.4, signal), (.6, signal)], no_bins=50, neq=[1, 17], m=[3, 4, 6], rainflow_func=rainflow_windap) + [[10.311095426959747, 9.5942535021382174, 9.0789213365013932], # neq = 1, m=[3,4,6] + [4.010099657859783, 4.7249689509841746, 5.6618639965313005]], # neq = 17, m=[3,4,6] + """ + try: + return eq_load_and_cycles(signals, no_bins, m, neq, rainflow_func)[0] + except TypeError: + return [[np.nan] * len(np.atleast_1d(m))] * len(np.atleast_1d(neq)) + +# ampl, _ = rainflow_func(signals) +# if ampl is None: +# return [] +# hist_data, x, bin_avg = rfc_hist(ampl, no_bins) +# +# m = np.atleast_1d(m) +# +# return np.array([np.power(np.sum(0.5 * hist_data * np.power(bin_avg, m[i])) / neq, 1. / m[i]) for i in range(len(m))]) + + +def eq_load_and_cycles(signals, no_bins=46, m=[3, 4, 6, 8, 10, 12], neq=[10 ** 6, 10 ** 7, 10 ** 8], rainflow_func=rainflow_windap): + """Calculate combined fatigue equivalent load + + Parameters + ---------- + signals : list of tuples or array_like + - if list of tuples: list must have format [(sig1_weight, sig1),(sig2_weight, sig1),...] where\n + - sigx_weight is the weight of signal x\n + - sigx is signal x\n + - if array_like: The signal + no_bins : int, optional + Number of bins for rainflow counting + m : int, float or array-like, optional + Wohler exponent (default is [3, 4, 6, 8, 10, 12]) + neq : int or array-like, optional + Equivalent number, default is [10^6, 10^7, 10^8] + rainflow_func : {rainflow_windap, rainflow_astm}, optional + The rainflow counting function to use (default is rainflow_windap) + + Returns + ------- + eq_loads : array-like + List of lists of equivalent loads for the corresponding equivalent number(s) and Wohler exponents + cycles : array_like + 2d array with shape = (no_ampl_bins, no_mean_bins) + ampl_bin_mean : array_like + mean amplitude of the bins + ampl_bin_edges + Edges of the amplitude bins + """ + cycles, ampl_bin_mean, ampl_bin_edges, _, _ = cycle_matrix(signals, no_bins, 1, rainflow_func) + if 0: #to be similar to windap + ampl_bin_mean = (ampl_bin_edges[:-1] + ampl_bin_edges[1:]) / 2 + cycles, ampl_bin_mean = cycles.flatten(), ampl_bin_mean.flatten() + eq_loads = [[((np.sum(cycles * ampl_bin_mean ** _m) / _neq) ** (1. / _m)) for _m in np.atleast_1d(m)] for _neq in np.atleast_1d(neq)] + return eq_loads, cycles, ampl_bin_mean, ampl_bin_edges + + + +def cycle_matrix(signals, ampl_bins=10, mean_bins=10, rainflow_func=rainflow_windap): + """Markow load cycle matrix + + Calculate the Markow load cycle matrix + + Parameters + ---------- + Signals : array-like or list of tuples + if array-like, the raw signal + if list of tuples, list of (weight, signal), e.g. [(0.1,sig1), (0.8,sig2), (.1,sig3)] + ampl_bins : int or array-like, optional + if int, Number of amplitude value bins (default is 10) + if array-like, the bin edges for amplitude + mean_bins : int or array-like, optional + if int, Number of mean value bins (default is 10) + if array-like, the bin edges for mea + rainflow_func : {rainflow_windap, rainflow_astm}, optional + The rainflow counting function to use (default is rainflow_windap) + + Returns + ------- + cycles : ndarray, shape(ampl_bins, mean_bins) + A bi-dimensional histogram of load cycles(full cycles). Amplitudes are histogrammed along the first dimension and mean values are histogrammed along the second dimension. + ampl_bin_mean : ndarray, shape(ampl_bins,) + The average cycle amplitude of the bins + ampl_edges : ndarray, shape(ampl_bins+1,) + The amplitude bin edges + mean_bin_mean : ndarray, shape(ampl_bins,) + The average cycle mean of the bins + mean_edges : ndarray, shape(mean_bins+1,) + The mean bin edges + + Examples + -------- + >>> signal = np.array([-2.0, 0.0, 1.0, 0.0, -3.0, 0.0, 5.0, 0.0, -1.0, 0.0, 3.0, 0.0, -4.0, 0.0, 4.0, 0.0, -2.0]) + >>> cycles, ampl_bin_mean, ampl_edges, mean_bin_mean, mean_edges = cycle_matrix(signal) + >>> cycles, ampl_bin_mean, ampl_edges, mean_bin_mean, mean_edges = cycle_matrix([(.4, signal), (.6,signal)]) + """ + + if isinstance(signals[0], tuple): + ampls = np.empty((0,), dtype=np.float64) + means = np.empty((0,), dtype=np.float64) + weights = np.empty((0,), dtype=np.float64) + for w, signal in signals: + a, m = rainflow_func(signal[:]) + ampls = np.r_[ampls, a] + means = np.r_[means, m] + weights = np.r_[weights, (np.zeros_like(a) + w)] + else: + ampls, means = rainflow_func(signals[:]) + weights = np.ones_like(ampls) + if isinstance(ampl_bins, int): + ampl_bins = np.linspace(0, 1, num=ampl_bins + 1) * ampls.max() + cycles, ampl_edges, mean_edges = np.histogram2d(ampls, means, [ampl_bins, mean_bins], weights=weights) + + ampl_bin_sum = np.histogram2d(ampls, means, [ampl_bins, mean_bins], weights=weights * ampls)[0] + ampl_bin_mean = np.zeros_like(cycles) + mask = (cycles > 0) + ampl_bin_mean[mask] = ampl_bin_sum[mask] / cycles[mask] + mean_bin_sum = np.histogram2d(ampls, means, [ampl_bins, mean_bins], weights=weights * means)[0] + mean_bin_mean = np.zeros_like(cycles) + mean_bin_mean[cycles > 0] = mean_bin_sum[cycles > 0] / cycles[cycles > 0] + cycles = cycles / 2 # to get full cycles + return cycles, ampl_bin_mean, ampl_edges, mean_bin_mean, mean_edges + + diff --git a/wetb/fatigue_tools/pair_range.py b/wetb/fatigue_tools/pair_range.py new file mode 100644 index 0000000..6a493d7 --- /dev/null +++ b/wetb/fatigue_tools/pair_range.py @@ -0,0 +1,198 @@ + +import cython +import numpy as np +# cimport numpy as np + + +@cython.locals(p=cython.int, q=cython.int, f=cython.int, flow=list, k=cython.int, n=cython.int, ptr=cython.int) +def pair_range_amplitude(x): # cpdef pair_range(np.ndarray[long,ndim=1] x): + """ + Returns a list of half-cycle-amplitudes + x: Peak-Trough sequence (integer list of local minima and maxima) + + This routine is implemented according to + "Recommended Practices for Wind Turbine Testing - 3. Fatigue Loads", 2. edition 1990, Appendix A + except that a list of half-cycle-amplitudes are returned instead of a from_level-to_level-matrix + """ + + x = x - np.min(x) + k = np.max(x) + n = x.shape[0] + S = np.zeros(n + 1) + + #A = np.zeros(k+1) + flow = [] + S[1] = x[0] + ptr = 1 + p = 1 + q = 1 + f = 0 + # phase 1 + while True: + p += 1 + q += 1 + + # read + S[p] = x[ptr] + ptr += 1 + + if q == n: + f = 1 + while p >= 4: + if (S[p - 2] > S[p - 3] and S[p - 1] >= S[p - 3] and S[p] >= S[p - 2]) \ + or\ + (S[p - 2] < S[p - 3] and S[p - 1] <= S[p - 3] and S[p] <= S[p - 2]): + ampl = abs(S[p - 2] - S[p - 1]) + # A[ampl]+=2 #Two half cycles + flow.append(ampl) + flow.append(ampl) + S[p - 2] = S[p] + + p -= 2 + else: + break + + if f == 0: + pass + else: + break + # phase 2 + q = 0 + while True: + q += 1 + if p == q: + break + else: + ampl = abs(S[q + 1] - S[q]) + # A[ampl]+=1 + flow.append(ampl) + return flow + + + + + +@cython.locals(p=cython.int, q=cython.int, f=cython.int, flow=list, k=cython.int, n=cython.int, ptr=cython.int) +def pair_range_from_to(x): # cpdef pair_range(np.ndarray[long,ndim=1] x): + """ + Returns a list of half-cycle-amplitudes + x: Peak-Trough sequence (integer list of local minima and maxima) + + This routine is implemented according to + "Recommended Practices for Wind Turbine Testing - 3. Fatigue Loads", 2. edition 1990, Appendix A + except that a list of half-cycle-amplitudes are returned instead of a from_level-to_level-matrix + """ + + x = x - np.min(x) + k = np.max(x) + n = x.shape[0] + S = np.zeros(n + 1) + + A = np.zeros((k + 1, k + 1)) + S[1] = x[0] + ptr = 1 + p = 1 + q = 1 + f = 0 + # phase 1 + while True: + p += 1 + q += 1 + + # read + S[p] = x[ptr] + ptr += 1 + + if q == n: + f = 1 + while p >= 4: + #print S[p - 3:p + 1] + #print S[p - 2], ">", S[p - 3], ", ", S[p - 1], ">=", S[p - 3], ", ", S[p], ">=", S[p - 2], (S[p - 2] > S[p - 3] and S[p - 1] >= S[p - 3] and S[p] >= S[p - 2]) + #print S[p - 2], "<", S[p - 3], ", ", S[p - 1], "<=", S[p - 3], ", ", S[p], "<=", S[p - 2], (S[p - 2] < S[p - 3] and S[p - 1] <= S[p - 3] and S[p] <= S[p - 2]) + #print (S[p - 2] > S[p - 3] and S[p - 1] >= S[p - 3] and S[p] >= S[p - 2]) or (S[p - 2] < S[p - 3] and S[p - 1] <= S[p - 3] and S[p] <= S[p - 2]) + if (S[p - 2] > S[p - 3] and S[p - 1] >= S[p - 3] and S[p] >= S[p - 2]) or \ + (S[p - 2] < S[p - 3] and S[p - 1] <= S[p - 3] and S[p] <= S[p - 2]): + A[S[p - 2], S[p - 1]] += 1 + A[S[p - 1], S[p - 2]] += 1 + S[p - 2] = S[p] + p -= 2 + else: + break + + if f == 1: + break # q==n + # phase 2 + q = 0 + while True: + q += 1 + if p == q: + break + else: + #print S[q], "to", S[q + 1] + A[S[q], S[q + 1]] += 1 + return A + +@cython.locals(p=cython.int, q=cython.int, f=cython.int, flow=list, k=cython.int, n=cython.int, ptr=cython.int) +def pair_range_amplitude_mean(x): # cpdef pair_range(np.ndarray[long,ndim=1] x): + """ + Returns a list of half-cycle-amplitudes + x: Peak-Trough sequence (integer list of local minima and maxima) + + This routine is implemented according to + "Recommended Practices for Wind Turbine Testing - 3. Fatigue Loads", 2. edition 1990, Appendix A + except that a list of half-cycle-amplitudes are returned instead of a from_level-to_level-matrix + """ + + x = x - np.min(x) + k = np.max(x) + n = x.shape[0] + S = np.zeros(n + 1) + ampl_mean = [] + A = np.zeros((k + 1, k + 1)) + S[1] = x[0] + ptr = 1 + p = 1 + q = 1 + f = 0 + # phase 1 + while True: + p += 1 + q += 1 + + # read + S[p] = x[ptr] + ptr += 1 + + if q == n: + f = 1 + while p >= 4: + if (S[p - 2] > S[p - 3] and S[p - 1] >= S[p - 3] and S[p] >= S[p - 2]) \ + or\ + (S[p - 2] < S[p - 3] and S[p - 1] <= S[p - 3] and S[p] <= S[p - 2]): + # Extract two intermediate half cycles + ampl = abs(S[p - 2] - S[p - 1]) + mean = (S[p - 2] + S[p - 1]) / 2 + ampl_mean.append((ampl, mean)) + ampl_mean.append((ampl, mean)) + + S[p - 2] = S[p] + + p -= 2 + else: + break + + if f == 0: + pass + else: + break + # phase 2 + q = 0 + while True: + q += 1 + if p == q: + break + else: + ampl = abs(S[q + 1] - S[q]) + mean = (S[q + 1] + S[q]) / 2 + ampl_mean.append((ampl, mean)) + return ampl_mean diff --git a/wetb/fatigue_tools/pair_range.pyd b/wetb/fatigue_tools/pair_range.pyd new file mode 100644 index 0000000000000000000000000000000000000000..e3e28cb4e3bb7ab0fc866c3ab7d1ec242458abdb GIT binary patch literal 39936 zcmeHw3wV^p_4gadLb!wt!b(KZ1%svvF%qaiv}Pf}H@cAkQBlz)Buf&>&CM<bZ^b52 z(w8V&t7vH(tXizx+Ij&cHC!a22&8zUS}j$o8-og3k!tb%e!rP{_m*(!_dU=5dH&zy z@@!_#%sFSyoH=u5=Df2nc{eQ6dTW{%kFRNJ+6JWjWQo5g{u4y?pmSatq&?Sf*T@ZV z?p-4bO3P}T)xN3{Utxu_sIaoK%I}=#b@~F8&az5p_ViiKimGC7T4G}V6vcY}WalfR zZoK-S^}X=i_YOJ%Pujj$rT-LZ-q^hdM+&^@2X7Pg2M%5+(l-yDE7I3RI<u^(l)Pdk z&(G1c;(Kk{Q(s?NVAUPcMmY!c>W>PP{7{x=RU%Ci`NeTenD3=&HvYlKO11p}s5E?f zX<0y(L{`!rmL<!UY1%B%{O4Xx%NNw@PphVFlTFBi4o!P4vi?-_i#4q^l1~g>n%`UN zN7=Y}_(PG|chwK%#K);=bJKjqh5kZK`;a(`@jVUSQhXymS(=uWCegHgBT&(d?^*cX zj&H;#3nHaeOGMGfR#dXhNAQjKWRaiGTV7S9X{l5`bO7aQ+T-{}e6locN(A_Q_WwZx zy5UN28;h5LMP5Uzzjv;=UpGfT;)C^xkK4#~x{d3Tax(Vj7+Z3U&H7)Cx-<8=?7wc! 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Practices for Wind Turbine Testing - 3. Fatigue Loads", 2. edition 1990, Appendix A + """ + + BEGIN = 0 + MINZO = 1 + MAXZO = 2 + ENDZO = 3 + S = np.zeros(x.shape[0] + 1, dtype=np.int) + + L = x.shape[0] + goto = BEGIN + + while 1: + if goto == BEGIN: + trough = x[0] + peak = x[0] + + i = 0 + p = 1 + f = 0 + while goto == BEGIN: + i += 1 + if i == L: + goto = ENDZO + continue + else: + if x[i] > peak: + peak = x[i] + if peak - trough >= R: + S[p] = trough + goto = MAXZO + continue + elif x[i] < trough: + trough = x[i] + if peak - trough >= R: + S[p] = peak + goto = MINZO + continue + + elif goto == MINZO: + f = -1 + + while goto == MINZO: + i += 1 + if i == L: + goto = ENDZO + continue + else: + if x[i] < trough: + trough = x[i] + else: + if x[i] - trough >= R: + p += 1 + S[p] = trough + peak = x[i] + goto = MAXZO + continue + elif goto == MAXZO: + f = 1 + while goto == MAXZO: + i += 1 + if i == L: + goto = ENDZO + continue + else: + if x[i] > peak: + peak = x[i] + else: + if peak - x[i] >= R: + p += 1 + S[p] = peak + trough = x[i] + goto = MINZO + continue + elif goto == ENDZO: + + n = p + 1 + if abs(f) == 1: + if f == 1: + S[n] = peak + else: + S[n] = trough + else: + S[n] = (trough + peak) / 2 + S = S[1:n + 1] + return S diff --git a/wetb/fatigue_tools/peak_trough.pyd b/wetb/fatigue_tools/peak_trough.pyd new file mode 100644 index 0000000000000000000000000000000000000000..db4087cd89878143c3de4f75a60b5026f5dceb1f GIT binary patch literal 37888 zcmeIb3wTu3)jzx^$%GIRCR|2>f(($Dpco?oB?NVbOvo9XKp+94qQj63kdm93GZ;`b zn4~fu#?lsBZ+%~?tp&A}_Vt2RG+ZPg0ugU0w&Jaw7^tyUK)jsqxAxv=W)g1p`+wi_ z{Ga#fz?ro#YpuQZ+H3E<_T@}UZdl9W8Dj}}be*xyfb_BR@3Vh}kv(wK3j^8H{r8UE zY;x}%UB0B+Z)<3*U)<=ewN-lS>grY7LZ7WMP-m;IvpHv$*=p;nd^xG9$r+OM^f=qg zag{TU7|(zU{&IvNKK%Ow5`M~It@XeW6UUo*<a(a}$&mpZzI7y?!#6mbU0u0^c=eUM zw1}~)ADh`@$ETJXc|B~5Z9rTyV--l5B2p(V1We=MW)lGl$1!H6FMJHhIuRkI;S<N~ zKovv=I5jR(4zFTt4rrdfm9bJzEx$G~wtyPK__Q<DY=r+E*uYqi5cRZFIjXNoMb4PH z_#%<1?y?>T@sACn<TO@!RWD<c1|tbP*-$+5@x*-WFq0gC#%!aIu@=vTcnCk{V`r>A 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zJ~8=;iYFF4(fq{fCpJ8>>50xK4nA?>3HGGz$?PYUCrh7fc(Uoq|LgVhzg)oo2a=lB AfB*mh literal 0 HcmV?d00001 diff --git a/wetb/fatigue_tools/rainflowcount_astm.py b/wetb/fatigue_tools/rainflowcount_astm.py new file mode 100644 index 0000000..06924c5 --- /dev/null +++ b/wetb/fatigue_tools/rainflowcount_astm.py @@ -0,0 +1,102 @@ +''' +Created on 27/02/2013 + +@author: mmpe + + + +How to use: + +import_cython("cy_rainflowcount",'cy_rainflowcount.py','') +from cy_rainflowcount import find_extremes,rainflow + +ext = find_extremes(np.array([-2,0,1,0,-3,0,5,0,-1,0,3,0,-4,0,4,0,-2]).astype(np.double)) +print rainflow(ext) +''' + +import numpy as np + + +def find_extremes(signal): #cpdef find_extremes(np.ndarray[double,ndim=1] signal): + """return indexes of local minima and maxima plus first and last element of signal""" + + #cdef int pi, i + # sign of gradient + sign_grad = np.int8(np.sign(np.diff(signal))) + + # remove plateaus(sign_grad==0) by sign_grad[plateau_index]=sign_grad[plateau_index-1] + plateau_indexes, = np.where(sign_grad == 0) + if len(plateau_indexes) > 0 and plateau_indexes[0] == 0: + # first element is a plateau + if len(plateau_indexes) == len(sign_grad): + # All values are equal to crossing level! + return np.array([0]) + + # set first element = first element which is not a plateau and delete plateau index + i = 0 + while sign_grad[i] == 0: + i += 1 + sign_grad[0] = sign_grad[i] + + plateau_indexes = np.delete(plateau_indexes, 0) + + for pi in plateau_indexes.tolist(): + sign_grad[pi] = sign_grad[pi - 1] + + extremes, = np.where(np.r_[1, (sign_grad[1:] * sign_grad[:-1] < 0), 1]) + + return signal[extremes] + + +def rainflowcount(sig): #cpdef rainflowcount(np.ndarray[double,ndim=1] sig): + """Cython compilable rain ampl_mean count without time analysis + + + This implemementation is based on the c-implementation by Adam Nieslony found at + the MATLAB Central File Exchange http://www.mathworks.com/matlabcentral/fileexchange/3026 + + References + ---------- + Adam Nieslony, "Determination of fragments of multiaxial service loading + strongly influencing the fatigue of machine components," + Mechanical Systems and Signal Processing 23, no. 8 (2009): 2712-2721. + + and is based on the following standard: + ASTM E 1049-85 (Reapproved 1997), Standard practices for cycle counting in + fatigue analysis, in: Annual Book of ASTM Standards, vol. 03.01, ASTM, + Philadelphia, 1999, pp. 710-718. + + Copyright (c) 1999-2002 by Adam Nieslony + + Ported to Cython compilable Python by Mads M Pedersen + In addition peak amplitude is changed to peak to peak amplitude + + + """ + + #cdef int sig_ptr, index + #cdef double ampl + a = [] + sig_ptr = 0 + ampl_mean = [] + for _ in range(len(sig)): + a.append(sig[sig_ptr]) + sig_ptr += 1 + while len(a) > 2 and abs(a[-3] - a[-2]) <= abs(a[-2] - a[-1]): + ampl = abs(a[-3] - a[-2]) + mean = (a[-3] + a[-2]) / 2; + if len(a) == 3: + del a[0] + if ampl > 0: + ampl_mean.append((ampl, mean)) + elif len(a) > 3: + del a[-3:-1] + if ampl > 0: + ampl_mean.append((ampl, mean)) + ampl_mean.append((ampl, mean)) + for index in range(len(a) - 1): + ampl = abs(a[index] - a[index + 1]) + mean = (a[index] + a[index + 1]) / 2; + if ampl > 0: + ampl_mean.append((ampl, mean)) + return ampl_mean diff --git a/wetb/fatigue_tools/rainflowcount_astm.pyd b/wetb/fatigue_tools/rainflowcount_astm.pyd new file mode 100644 index 0000000000000000000000000000000000000000..6ef6cd427dfb019332137805ebe4db80d90dcbc8 GIT binary patch literal 45056 zcmeIb3w)Ht^*27bYzUCB;j$7HbdjV98bcsZ6BcWhY{;{^fdD~*q9G(35)Db*3nU^M zO`@z1Yq8Z9t-qF^+SXPSwAP}6go^~^7Euu|weeEj7`5?+XtmG(duHa@TY}K{_x}H% z|NDNr`ebfr&YU@O=FFKh^E{MXwVuT>#^Uj48e>}#(yxI3{oy|W6puLn*%9oip@$}H zjd2{BP*z*#HaEE%m%A!gn5!xq8X7(3Wlpop+hDG1Fx%!XFt2E=c4j9h4@;A%i~CQE zio1J*Rey%{4!6c2othLc!(1NLe;99N9PU2ra$Y{wI+TZT)>s}IcsReVs+Mp?Q(juc zSoQ4&#y(kGrkC}z3(Uh~hcQ-<oLM6Gl~o8+c)T@+0*c2nW}rX#=^^V!f|!P1EGq!0 zsH6u2(;}z)9>%Ir=K&vMrM$NM)6LitiI3;>Ft#DQ{7mDmjOEdQp5mA7aW;EUw(ENQ 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b/wetb/fatigue_tools/tests/test_fatigue.py new file mode 100644 index 0000000..7949add --- /dev/null +++ b/wetb/fatigue_tools/tests/test_fatigue.py @@ -0,0 +1,67 @@ +''' +Created on 16/07/2013 + +@author: mmpe +''' + +import unittest + +import numpy as np +from wetb.fatigue_tools.fatigue import eq_load, rainflow_astm, rainflow_windap, \ + cycle_matrix +from wetb.hawc2 import Hawc2io + + +class Test(unittest.TestCase): + + + def test_astm1(self): + + signal = np.array([-2.0, 0.0, 1.0, 0.0, -3.0, 0.0, 5.0, 0.0, -1.0, 0.0, 3.0, 0.0, -4.0, 0.0, 4.0, 0.0, -2.0]) + + ampl, mean = rainflow_astm(signal) + np.testing.assert_array_equal(np.histogram2d(ampl, mean, [6, 4])[0], np.array([[ 0., 1., 0., 0.], + [ 1., 0., 0., 2.], + [ 0., 0., 0., 0.], + [ 0., 0., 0., 1.], + [ 0., 0., 0., 0.], + [ 0., 0., 1., 2.]])) + + def test_windap1(self): + signal = np.array([-2.0, 0.0, 1.0, 0.0, -3.0, 0.0, 5.0, 0.0, -1.0, 0.0, 3.0, 0.0, -4.0, 0.0, 4.0, 0.0, -2.0]) + ampl, mean = rainflow_windap(signal, 18, 2) + np.testing.assert_array_equal(np.histogram2d(ampl, mean, [6, 4])[0], np.array([[ 0., 0., 1., 0.], + [ 1., 0., 0., 2.], + [ 0., 0., 0., 0.], + [ 0., 0., 0., 1.], + [ 0., 0., 0., 0.], + [ 0., 0., 2., 1.]])) + + def test_windap2(self): + data = Hawc2io.ReadHawc2("test_files/test").ReadBinary([2]).flatten() + np.testing.assert_allclose(eq_load(data, neq=61), np.array([[1.356, 1.758, 2.370, 2.784, 3.077, 3.296]]), 0.01) + + + def test_astm2(self): + data = Hawc2io.ReadHawc2("test_files/test").ReadBinary([2]).flatten() + np.testing.assert_allclose(eq_load(data, neq=61, rainflow_func=rainflow_astm), np.array([[1.356, 1.758, 2.370, 2.784, 3.077, 3.296]]), 0.01) + + + def test_windap3(self): + data = Hawc2io.ReadHawc2("test_files/test").ReadBinary([2]).flatten() + np.testing.assert_array_equal(cycle_matrix(data, 4, 4, rainflow_func=rainflow_windap)[0], np.array([[ 14., 65., 39., 24.], + [ 0., 1., 4., 0.], + [ 0., 0., 0., 0.], + [ 0., 1., 2., 0.]]) / 2) + + + def test_astm3(self): + data = Hawc2io.ReadHawc2("test_files/test").ReadBinary([2]).flatten() + np.testing.assert_allclose(cycle_matrix(data, 4, 4, rainflow_func=rainflow_astm)[0], np.array([[ 24., 83., 53., 26.], + [ 0., 1., 4., 0.], + [ 0., 0., 0., 0.], + [ 0., 1., 2., 0.]]) / 2, 0.001) + +if __name__ == "__main__": + #import sys;sys.argv = ['', 'Test.testName'] + unittest.main() diff --git a/wetb/fatigue_tools/tests/test_files/test.dat b/wetb/fatigue_tools/tests/test_files/test.dat new file mode 100644 index 0000000000000000000000000000000000000000..60c7efd914a0cf82ef78a7f21777d14c1bf40422 GIT binary patch literal 244000 zcmYhCb#xS2wDsd8K#UL%aVJDbAR$UTK(yV<tE;8jEdmVg4uiWhxDD>^?t{C#%RAp& z?~iZwf|YbyO71;(pWois+bPT`$tlOF%&Eai=A?46ISp}|=rq@9mD4t-!%i2R?l`@4 z`sU=}9N-+|obFuUT;t4l#+~)fZO)^dr#mlk-r&5)`K0qT=SR-(o&Pv{yM(zUx#YN% zy41T!T^JXe%Mh1|E^}R0x%}&L$mP7tZI_oW-&{Og16-qBySe7OR=e_CaaX--o9igo zzg-u*u6Nz-dcyUZ>m%3qu76xRx`nzWx@EhSy4AZ$-558k+hDf|ZgbpLy8Y{R$nCt_ 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zr}1<67x+*3-}n;++JbcgXF-G@NsuR~6*S|H7Z<7t7vqk15(W!NLZR>^?)dw{H^M&Q zgcP-u1!H%-Q;J_oObRuH_tzc&0C)U{f86ofxZ{m*$FKYAj(5QS)xXLTzwUVV)Y1Rj zNALJiYyRtwH^d!3@2@+47~fF-`;ITh9nZ!cADQBvVxO`hW%<}0FNr(8UDznB5f<Q% zKO_tg+To7Z6;8$1WI6=*#_o9f*d1>ym@SYNeC9XvtN2;`IKDT36MrFp3cr{4kXOk| G<NXh~WJvA+ literal 0 HcmV?d00001 diff --git a/wetb/fatigue_tools/tests/test_files/test.sel b/wetb/fatigue_tools/tests/test_files/test.sel new file mode 100644 index 0000000..185e525 --- /dev/null +++ b/wetb/fatigue_tools/tests/test_files/test.sel @@ -0,0 +1,114 @@ +________________________________________________________________________________________________________________________ + Version ID : Pydap 0.1 + Time : 15:04:16 + Date : 01:08.2012 +________________________________________________________________________________________________________________________ + Result file : unit_test/test_files/test.dat +________________________________________________________________________________________________________________________ + Scans Channels Time [sec] Format + 2440 50 61.000 BINARY + + Channel Variable Description + + 1 Time s Time + 2 WSP gl. coo.,Vy m/s Free wind speed Vy, gl. coo, of gl. pos 0.75, 0.00, -40.75 + 3 WSP gl. coo.,Vy m/s Free wind speed Vy, gl. coo, of gl. pos 1.00, 0.00, -39.00 + 4 WSP gl. coo.,Vy m/s Free wind speed Vy, gl. coo, of gl. pos 7.00, 0.00, -33.00 + 5 Omega rad/s Rotor speed + 6 Ae pos x , glco, R= 20.5 m Aero position x of blade 1 at radius 20.50, global coo. + 7 Ae pos y , glco, R= 20.5 m Aero position y of blade 1 at radius 20.50, global coo. + 8 Ae pos z , glco, R= 20.5 m Aero position z of blade 1 at radius 20.50, global coo. + 9 Ae pos x , glco, R= 20.5 m Aero position x of blade 2 at radius 20.50, global coo. + 10 Ae pos y , glco, R= 20.5 m Aero position y of blade 2 at radius 20.50, global coo. + 11 Ae pos z , glco, R= 20.5 m Aero position z of blade 2 at radius 20.50, global coo. + 12 Ae pos x , glco, R= 20.5 m Aero position x of blade 3 at radius 20.50, global coo. + 13 Ae pos y , glco, R= 20.5 m Aero position y of blade 3 at radius 20.50, global coo. + 14 Ae pos z , glco, R= 20.5 m Aero position z of blade 3 at radius 20.50, global coo. + 15 Ae pos x , glco, R= 16.5 m Aero position x of blade 1 at radius 16.49, global coo. + 16 Ae pos y , glco, R= 16.5 m Aero position y of blade 1 at radius 16.49, global coo. + 17 Ae pos z , glco, R= 16.5 m Aero position z of blade 1 at radius 16.49, global coo. + 18 Ae pos x , glco, R= 16.5 m Aero position x of blade 2 at radius 16.49, global coo. + 19 Ae pos y , glco, R= 16.5 m Aero position y of blade 2 at radius 16.49, global coo. + 20 Ae pos z , glco, R= 16.5 m Aero position z of blade 2 at radius 16.49, global coo. + 21 Ae pos x , glco, R= 16.5 m Aero position x of blade 3 at radius 16.49, global coo. + 22 Ae pos y , glco, R= 16.5 m Aero position y of blade 3 at radius 16.49, global coo. + 23 Ae pos z , glco, R= 16.5 m Aero position z of blade 3 at radius 16.49, global coo. + 24 Ae pos x , glco, R= 11.6 m Aero position x of blade 1 at radius 11.59, global coo. + 25 Ae pos y , glco, R= 11.6 m Aero position y of blade 1 at radius 11.59, global coo. + 26 Ae pos z , glco, R= 11.6 m Aero position z of blade 1 at radius 11.59, global coo. + 27 Ae pos x , glco, R= 11.6 m Aero position x of blade 2 at radius 11.59, global coo. + 28 Ae pos y , glco, R= 11.6 m Aero position y of blade 2 at radius 11.59, global coo. + 29 Ae pos z , glco, R= 11.6 m Aero position z of blade 2 at radius 11.59, global coo. + 30 Ae pos x , glco, R= 11.6 m Aero position x of blade 3 at radius 11.59, global coo. + 31 Ae pos y , glco, R= 11.6 m Aero position y of blade 3 at radius 11.59, global coo. + 32 Ae pos z , glco, R= 11.6 m Aero position z of blade 3 at radius 11.59, global coo. + 33 Ae pos x , glco, R= 7.6 m Aero position x of blade 1 at radius 7.60, global coo. + 34 Ae pos y , glco, R= 7.6 m Aero position y of blade 1 at radius 7.60, global coo. + 35 Ae pos z , glco, R= 7.6 m Aero position z of blade 1 at radius 7.60, global coo. + 36 Ae pos x , glco, R= 7.6 m Aero position x of blade 2 at radius 7.60, global coo. + 37 Ae pos y , glco, R= 7.6 m Aero position y of blade 2 at radius 7.60, global coo. + 38 Ae pos z , glco, R= 7.6 m Aero position z of blade 2 at radius 7.60, global coo. + 39 Ae pos x , glco, R= 7.6 m Aero position x of blade 3 at radius 7.60, global coo. + 40 Ae pos y , glco, R= 7.6 m Aero position y of blade 3 at radius 7.60, global coo. + 41 Ae pos z , glco, R= 7.6 m Aero position z of blade 3 at radius 7.60, global coo. + 42 Ae pos x , glco, R= 4.0 m Aero position x of blade 1 at radius 4.01, global coo. + 43 Ae pos y , glco, R= 4.0 m Aero position y of blade 1 at radius 4.01, global coo. + 44 Ae pos z , glco, R= 4.0 m Aero position z of blade 1 at radius 4.01, global coo. + 45 Ae pos x , glco, R= 4.0 m Aero position x of blade 2 at radius 4.01, global coo. + 46 Ae pos y , glco, R= 4.0 m Aero position y of blade 2 at radius 4.01, global coo. + 47 Ae pos z , glco, R= 4.0 m Aero position z of blade 2 at radius 4.01, global coo. + 48 Ae pos x , glco, R= 4.0 m Aero position x of blade 3 at radius 4.01, global coo. + 49 Ae pos y , glco, R= 4.0 m Aero position y of blade 3 at radius 4.01, global coo. + 50 Ae pos z , glco, R= 4.0 m Aero position z of blade 3 at radius 4.01, global coo. +________________________________________________________________________________________________________________________ +Scale factors: + 1.90625E-03 + 3.86850E-04 + 3.93534E-04 + 3.63391E-04 + 1.56250E-05 + 6.40656E-04 + 0.00000E+00 + 1.89066E-03 + 6.40656E-04 + 0.00000E+00 + 1.89066E-03 + 6.40656E-04 + 0.00000E+00 + 1.89066E-03 + 5.15428E-04 + 6.87809E-07 + 1.76543E-03 + 5.15428E-04 + 6.87809E-07 + 1.76543E-03 + 5.15428E-04 + 6.87809E-07 + 1.76543E-03 + 3.62459E-04 + 1.85211E-06 + 1.61246E-03 + 3.62459E-04 + 1.85211E-06 + 1.61246E-03 + 3.62459E-04 + 1.85211E-06 + 1.61246E-03 + 2.38552E-04 + 5.23494E-06 + 1.48855E-03 + 2.38552E-04 + 5.23494E-06 + 1.48855E-03 + 2.38551E-04 + 5.23494E-06 + 1.48855E-03 + 1.29018E-04 + 1.14916E-05 + 1.37902E-03 + 1.29018E-04 + 1.14916E-05 + 1.37902E-03 + 1.29018E-04 + 1.14916E-05 + 1.37902E-03 -- GitLab